Number of the day: 5328

Properties of the number 5328:

5328 = 2⁴ × 3² × 37 is the 4622^th composite number and is not squarefree.
5328 has 3 distinct prime factors, 30 divisors, 7 antidivisors and 1728 totatives.
5328 has an oblong digit product 240 in base 10.
5328 is the difference of 2 nonnegative squares in 9 ways.
5328 is the sum of 2 positive triangular numbers.
5328 is the difference of 2 positive pentagonal numbers in 1 way.
5328 = 12² + 72² is the sum of 2 positive squares in 1 way.
5328 = 16² + 44² + 56² is the sum of 3 positive squares.
5328² = 1728² + 5040² is the sum of 2 positive squares in 1 way.
5328² is the sum of 3 positive squares.
5328 is a proper divisor of 73² - 1.
5328 is palindromic in (at least) the following bases: 11, and 73.
5328 in base 6 = 40400 and consists of only the digits '0' and '4'.
5328 in base 11 = 4004 and consists of only the digits '0' and '4'.
5328 in base 17 = 1177 and consists of only the digits '1' and '7'.
5328 in base 19 = ee8 and consists of only the digits '8' and 'e'.
5328 in base 36 = 440 and consists of only the digits '0' and '4'.
5328 in base 51 = 22O and consists of only the digits '2' and 'O'.

The number 5328 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A033996: 8 times triangular numbers: a(n) = 4*n*(n+1).
A084920: a(n) = (prime(n)-1)*(prime(n)+1).
A106302: Period of the Fibonacci 3-step sequence A000073 mod prime(n).
A173116: a(n) = sinh(2*arcsinh(n))^2 = 4*n^2*(n^2 + 1).
A179669: Products of form p^4*q^2*r where p, q and r are three distinct primes.
A236278: T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the upper median unequal to the lower median in every 2X2 subblock
A247726: T(n,k)=Number of length n+3 0..k arrays with no disjoint pairs in any consecutive four terms having the same sum
A248925: Triangle in which row n consists of the coefficients in Sum_{m=0..n} x^m * Product_{k=m+1..n} (1-k*x), as read by rows.
A257368: Numbers n such that the decimal expansions of both n and n^2 have 2 as smallest digit and 8 as largest digit.
A317707: Number of powerful rooted trees with n nodes.