Saturday, August 15, 2020

Number of the day: 56904

Properties of the number 56904:

56904 = 23 × 3 × 2371 is the 51134th composite number and is not squarefree.
56904 has 3 distinct prime factors, 16 divisors, 5 antidivisors and 18960 totatives.
Reversing the decimal digits of 56904 results in a sphenic number.
56904 = 142272 - 142252 = 71152 - 71112 = 47452 - 47392 = 23772 - 23652 is the difference of 2 nonnegative squares in 4 ways.
56904 is the sum of 2 positive triangular numbers.
56904 = 582 + 882 + 2142 is the sum of 3 positive squares.
569042 is the sum of 3 positive squares.
56904 is a proper divisor of 19076 - 1.
56904 is palindromic in (at least) the following bases: 48, -57, and -63.
56904 in base 48 = OXO and consists of only the digits 'O' and 'X'.
56904 in base 56 = I88 and consists of only the digits '8' and 'I'.

The number 56904 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A119307: Number triangle T(n,k)=sum{k=0..n, C(j,k)C(j,n-k)}.
A222704: Total number of parts of multiplicity 4 in all partitions of n.

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