Number of the day: 53952

Properties of the number 53952:

53952 = 2⁶ × 3 × 281 is the 48454^th composite number and is not squarefree.
53952 has 3 distinct prime factors, 28 divisors, 9 antidivisors and 17920 totatives.
53952 is the difference of 2 nonnegative squares in 10 ways.
53952 = 56² + 104² + 200² is the sum of 3 positive squares.
53952² = 30720² + 44352² is the sum of 2 positive squares in 1 way.
53952² is the sum of 3 positive squares.
53952 is a divisor of 89⁸ - 1.
53952 is palindromic in (at least) base -43.
53952 in base 3 = 2202000020 and consists of only the digits '0' and '2'.
53952 in base 42 = UOO and consists of only the digits 'O' and 'U'.

The number 53952 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A080877: a(n)*a(n+3) - a(n+1)*a(n+2) = 2^n, given a(0)=1, a(1)=1, a(2)=2.
A080878: a(n)*a(n+3) - a(n+1)*a(n+2) = 2^n, given a(0)=1, a(1)=1, a(2)=3.
A098648: Expansion of (1-3*x)/(1 - 6*x + 4*x^2).
A149377: Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 0, 1), (1, -1, 0), (1, 1, -1), (1, 1, 0)}
A205071: Number of (n+1)X8 0..1 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock differing from the number in all its horizontal and vertical neighbors
A234645: Sum of the divisors of n^3+1.