Number of the day: 8528

Properties of the number 8528:

8528 = 2⁴ × 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 = 2133² - 2131² = 1068² - 1064² = 537² - 529² = 177² - 151² = 108² - 56² = 93² - 11² 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 = 28² + 88² = 8² + 92² is the sum of 2 positive squares in 2 ways.
8528² is the sum of 2 positive squares in 4 ways.
8528 is a divisor of 1559² - 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.