Saturday, June 2, 2018

Number of the day: 87752

Properties of the number 87752:

87752 = 23 × 7 × 1567 is the 79228th composite number and is not squarefree.
87752 has 3 distinct prime factors, 16 divisors, 15 antidivisors and 37584 totatives.
87752 has a prime digit sum 29 in base 10.
Reversing the decimal digits of 87752 results in a semiprime.
87752 = 219392 - 219372 = 109712 - 109672 = 31412 - 31272 = 15812 - 15532 is the difference of 2 nonnegative squares in 4 ways.
87752 = 402 + 662 + 2862 is the sum of 3 positive squares.
877522 is the sum of 3 positive squares.
87752 is a proper divisor of 10316 - 1.
87752 is palindromic in (at least) base 62.
87752 in base 24 = 6888 and consists of only the digits '6' and '8'.
87752 in base 62 = MpM and consists of only the digits 'M' and 'p'.

The number 87752 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A130281: Integers n > 1 such that A130280(4n^2) < n, i.e., there is an m < n, m > 1 such that 4n^2(m^2 - 1) + 1 is a square.
A222552: Number of (n+5)X1 arrays of occupancy after each element moves up to +-5 places but not 0
A222555: T(n,k)=Number of length (n+k)X1 arrays of occupancy after each element moves up to +-k places but not 0

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