Number of the day: 9524

Properties of the number 9524:

9524 = 2² × 2381 is the 8344^th composite number and is not squarefree.
9524 has 2 distinct prime factors, 6 divisors, 9 antidivisors and 4760 totatives.
9524 has an oblong digit sum 20 in base 10.
Reversing the decimal digits of 9524 results in a prime.
9524 = (67 × 68)/2 + … + (70 × 71)/2 is the sum of at least 2 consecutive triangular numbers in 1 way.
9524 = 2382² - 2380² is the difference of 2 nonnegative squares in 1 way.
9524 is the difference of 2 positive pentagonal numbers in 1 way.
9524 = 68² + 70² is the sum of 2 positive squares in 1 way.
9524 = 32² + 38² + 84² is the sum of 3 positive squares.
9524² = 276² + 9520² is the sum of 2 positive squares in 1 way.
9524² is the sum of 3 positive squares.
9524 is a proper divisor of 1021⁷ - 1.
9524 is palindromic in (at least) the following bases: 69, 89, -22, -29, -56, and -69.
9524 in base 13 = 4448 and consists of only the digits '4' and '8'.
9524 in base 28 = c44 and consists of only the digits '4' and 'c'.
9524 in base 32 = 99k and consists of only the digits '9' and 'k'.
9524 in base 34 = 884 and consists of only the digits '4' and '8'.

The number 9524 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A010008: a(0) = 1, a(n) = 18*n^2 + 2 for n>0.
A050256: Diaconis-Mosteller approximation to the Birthday problem function.
A096374: Number of partitions of n such that the least part occurs with even multiplicity.
A108099: a(n) = 8n^2 + 8n + 4.
A117525: Total sum of parts of multiplicity 2 in all partitions of n.
A175287: Partial sums of ceiling(n^2/4).
A188896: Numbers n such that there is no square n-gonal number greater than 1.
A228646: Expansion of g.f. 1/ (1-x^1*(1-x^(m+1))/ (1-x^2*(1-x^(m+2))/ (1- ... ))) for m=6.
A229082: Number of circular permutations i_0, i_1, ..., i_n of 0, 1, ..., n such that all the n+1 numbers i_0^2+i_1, i_1^2+i_2, ..., i_{n-1}^2+i_n, i_n^2+i_0 are of the form (p-1)/2 with p an odd prime.
A273362: Numbers n such that the decimal number concat(7,n) is a square.