### Properties of the number 54250:

54250 = 2 × 5^{3}× 7 × 31 is the 48731

^{th}composite number and is not squarefree.

54250 has 4 distinct prime factors, 32 divisors, 21 antidivisors and 18000 totatives.

54250 is the sum of 2 positive triangular numbers.

54250 is the difference of 2 positive pentagonal numbers in 9 ways.

54250 = 60

^{2}+ 139

^{2}+ 177

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

54250

^{2}= 32550

^{2}+ 43400

^{2}= 15190

^{2}+ 52080

^{2}= 19096

^{2}+ 50778

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

54250

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

54250 is a divisor of 349

^{10}- 1.

54250 is palindromic in (at least) base -73.

54250 in base 15 = 1111a and consists of only the digits '1' and 'a'.

### The number 54250 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.A062845: When expressed in base 2 and then interpreted in base 3, is a multiple of the original number.

A143878: Number of ways of placing kings with no more than 2 mutual attacks on an n X n chessboard symmetric about main diagonal.

A202310: Number of (n+2)X3 binary arrays avoiding patterns 001 and 100 in rows and columns

A202315: Number of (n+2)X8 binary arrays avoiding patterns 001 and 100 in rows and columns

A202317: T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 100 in rows and columns

A207437: Number of nX3 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 1 0 0 vertically

A219033: Numbers n such that n = x + y, sigma_1(n) = sigma_1(x) + sigma_1(y) and sigma_2(n) = sigma_2(x) + sigma_2(y).

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