Number of the day: 54250

Properties of the number 54250:

54250 = 2 × 5³ × 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 = 60² + 139² + 177² is the sum of 3 positive squares.
54250² = 32550² + 43400² = 15190² + 52080² = 19096² + 50778² is the sum of 2 positive squares in 3 ways.
54250² is the sum of 3 positive squares.
54250 is a divisor of 349¹⁰ - 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).