### Properties of the number 9488:

9488 = 2^{4}× 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 = 2373

^{2}- 2371

^{2}= 1188

^{2}- 1184

^{2}= 597

^{2}- 589

^{2}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 = 32

^{2}+ 92

^{2}is the sum of 2 positive squares in 1 way.

9488 = 4

^{2}+ 16

^{2}+ 96

^{2}is the sum of 3 positive squares.

9488

^{2}= 5888

^{2}+ 7440

^{2}is the sum of 2 positive squares in 1 way.

9488

^{2}is the sum of 3 positive squares.

9488 is a divisor of 1109

^{4}- 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.

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