Number of the day: 9488

Properties of the number 9488:

9488 = 2⁴ × 593 is the 8312^th composite number and is not squarefree.
9488 has 2 distinct prime factors, 10 divisors, 25 antidivisors and 4736 totatives.
9488 has a prime digit sum 29 in base 10.
Reversing the decimal digits of 9488 results in a prime.
9488 = 2373² - 2371² = 1188² - 1184² = 597² - 589² is the difference of 2 nonnegative squares in 3 ways.
9488 is the sum of 2 positive triangular numbers.
9488 is the difference of 2 positive pentagonal numbers in 1 way.
9488 = 32² + 92² is the sum of 2 positive squares in 1 way.
9488 = 4² + 16² + 96² is the sum of 3 positive squares.
9488² = 5888² + 7440² is the sum of 2 positive squares in 1 way.
9488² is the sum of 3 positive squares.
9488 is a divisor of 1109⁴ - 1.
9488 is palindromic in (at least) the following bases: 62, and -93.
9488 in base 43 = 55S and consists of only the digits '5' and 'S'.
9488 in base 61 = 2XX and consists of only the digits '2' and 'X'.
9488 in base 62 = 2T2 and consists of only the digits '2' and 'T'.

The number 9488 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A001672: Floor(Pi^n).
A058498: Number of solutions to c(1)t(1)+...+c(n)t(n) = 0, where c(i) = +-1 for i>1, c(1) = t(1) = 1, t(i) = triangular numbers (A000217).
A085150: Numbers n such that n!!!!!!+1 is prime.
A112861: Numbers n such that (2*n)!/(2*(n!)^2) - 1 is prime.
A163832: n*(2*n^2+5*n+1).
A226490: a(n) = n*(19*n-15)/2.
A231285: T(n,k)=Number of nXk 0..3 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, and upper left element zero
A240675: Number of partitions p of n such that exactly one number is in both p and its conjugate.
A265067: Coordination sequence for (2,5,8) tiling of hyperbolic plane.
A268037: Numbers n such that the number of divisors of n+2 divides n and the number of divisors of n divides n+2.