56248200 has 72 divisors (see below), whose sum is σ = 188906250. Its totient is φ = 14999040.

The previous prime is 56248193. The next prime is 56248207. The reversal of 56248200 is 284265.

It is an interprime number because it is at equal distance from previous prime (56248193) and next prime (56248207).

It can be written as a sum of positive squares in 3 ways, for example, as 45239076 + 11009124 = 6726^2 + 3318^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (56248207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13825 + ... + 17424.

Almost surely, 2^56248200 is an apocalyptic number.

56248200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56248200 is an abundant number, since it is smaller than the sum of its proper divisors (132658050).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56248200 is a wasteful number, since it uses less digits than its factorization.

56248200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31271 (or 31259 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 56248200 is about 7499.8799990400. The cubic root of 56248200 is about 383.1506291695.

It can be divided in two parts, 5624 and 8200, that added together give a cube (13824 = 24³).

The spelling of 56248200 in words is "fifty-six million, two hundred forty-eight thousand, two hundred".