### Properties of the number 8528:

8528 = 2^{4}× 13 × 41 is the 7464

^{th}composite number and is not squarefree.

8528 has 3 distinct prime factors, 20 divisors, 15 antidivisors and 3840 totatives.

8528 has a prime digit sum 23 in base 10.

Reversing the decimal digits of 8528 results in a semiprime.

8528 = 2133

^{2}- 2131

^{2}= 1068

^{2}- 1064

^{2}= 537

^{2}- 529

^{2}= 177

^{2}- 151

^{2}= 108

^{2}- 56

^{2}= 93

^{2}- 11

^{2}is the difference of 2 nonnegative squares in 6 ways.

8528 is the difference of 2 positive pentagonal numbers in 2 ways.

8528 is the sum of 3 positive squares.

8528 = 28

^{2}+ 88

^{2}= 8

^{2}+ 92

^{2}is the sum of 2 positive squares in 2 ways.

8528

^{2}is the sum of 2 positive squares in 4 ways.

8528 is a divisor of 1559

^{2}- 1.

8528 is palindromic in (at least) base 58.

8528 in base 57 = 2ZZ and consists of only the digits '2' and 'Z'.

8528 in base 58 = 2V2 and consists of only the digits '2' and 'V'.

### The number 8528 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.A001935: Number of partitions with no even part repeated; partitions of n in which no parts are multiples of 4.

A053701: Vertically symmetric numbers.

A083365: Expansion of psi(x) / phi(x) in powers of x where phi(), psi() are Ramanujan theta functions.

A124499: Number of 1-2-3-4 trees with n edges and with thinning limbs. A 1-2-3-4 tree is an ordered tree with vertices of outdegree at most 4. A rooted tree with thinning limbs is such that if a node has k children, all its children have at most k children.

A127226: a(0)=2, a(1)=2, a(n)=2*a(n-1)+6*a(n-2).

A183563: Number of partitions of n containing a clique of size 6.

A191830: Expansion of x^2*(2-3*x)/(1-x-x^2)^2.

A240734: Floor(6^n/(2+sqrt(5))^n).

A257368: Numbers n such that the decimal expansions of both n and n^2 have 2 as smallest digit and 8 as largest digit.

A270300: Numbers which are representable as a sum of thirteen but no fewer consecutive nonnegative integers.

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