55968 (number)
55,968 (fiftyfive thousand nine hundred sixtyeight) is an even fivedigits composite number following 55967 and preceding 55969. In scientific notation, it is written as 5.5968 × 10^{4}. The sum of its digits is 33. It has a total of 8 prime factors and 48 positive divisors. There are 16,640 positive integers (up to 55968) that are relatively prime to 55968.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 5
 Sum of Digits 33
 Digital Root 6
Name
Short name  55 thousand 968 

Full name  fiftyfive thousand nine hundred sixtyeight 
Notation
Scientific notation  5.5968 × 10^{4} 

Engineering notation  55.968 × 10^{3} 
Prime Factorization of 55968
Prime Factorization 2^{5} × 3 × 11 × 53
Composite numberω(n)  Distinct Factors  4  Total number of distinct prime factors 

Ω(n)  Total Factors  8  Total number of prime factors 
rad(n)  Radical  3498  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  0  Returns:

Λ(n)  Mangoldt function  0  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 55,968 is 2^{5} × 3 × 11 × 53. Since it has a total of 8 prime factors, 55,968 is a composite number.
Divisors of 55968
48 divisors
τ(n)  Total Divisors  48  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  163296  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  107328  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  3402  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  236.57556932194  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  16.451499118166  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 55,968 can be divided by 48 positive divisors (out of which 40 are even, and 8 are odd). The sum of these divisors (counting 55,968) is 163,296, the average is 3,402.
Other Arithmetic Functions (n = 55968)
φ(n)  Euler Totient  16640  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  1040  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 5677  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  0  The number of ways n can be represented as the sum of 2 squares 
There are 16,640 positive integers (less than 55,968) that are coprime with 55,968. And there are approximately 5,677 prime numbers less than or equal to 55,968.
Divisibility of 55968
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  3  0  3  0  6 
The number 55,968 is divisible by 2, 3, 4, 6 and 8.
Classification of 55968
By Arithmetic functions
 Arithmetic
 Refactorable
 Abundant
Expressible via specific sums
 Polite
 Practical
Base conversion (55968)
Base  System  Value 

2  Binary  1101101010100000 
3  Ternary  2211202220 
4  Quaternary  31222200 
5  Quinary  3242333 
6  Senary  1111040 
8  Octal  155240 
10  Decimal  55968 
12  Duodecimal  28480 
16  Hexadecimal  daa0 
20  Vigesimal  6ji8 
36  Base36  176o 
Basic calculations (n = 55968)
Multiplication
n×yn×2  111936 

n×3  167904 
n×4  223872 
n×5  279840 
Division
n÷yn÷2  27984.000 

n÷3  18656.000 
n÷4  13992.000 
n÷5  11193.600 
Exponentiation
n^{y}n^{2}  3132417024 

n^{3}  175315115999232 
n^{4}  9812036412245016576 
n^{5}  549160053920529087725568 
Nth Root
^{y}√n^{2}√n  236.57556932194 

^{3}√n  38.251334910052 
^{4}√n  15.381013273577 
^{5}√n  8.904057534187 
55968 as geometric shapes
Circle
Radius = nDiameter  111936 

Circumference  351657.31527223 
Area  9840778310.578 
Sphere
Radius = nVolume  7.3435824064857E+14 

Surface area  39363113242.312 
Circumference  351657.31527223 
Square
Length = nPerimeter  223872 

Area  3132417024 
Diagonal  79150.704658897 
Cube
Length = nSurface area  18794502144 

Volume  175315115999232 
Space diagonal  96939.419598015 
Equilateral Triangle
Length = nPerimeter  167904 

Area  1356376359.0154 
Altitude  48469.709799007 
Triangular Pyramid
Length = nSurface area  5425505436.0617 

Volume  20661084561261 
Height  45697.680641363 
Cryptographic Hash Functions
md5  9320e0394d53223db23d0b28fdc93e22 

sha1  68ecd20ccc93ffa544dfc229467e3f2c23b8475a 
sha256  a9a96582af8549cbce0d237e6b60d1ee709d22f9358fc1cac05feb609a3efb45 
sha512  d19097c9722c220e29d1752145539cd5a4c13c05f87ff8313ae5aff8bc3b9a1fc6566dbede552587794313648ad66a094e5dcd9bfd65f1590eda296da000c8c6 
ripemd160  ec6811fa410cfea266e9b6e3f6a120010137ae11 