56147200 has 108 divisors (see below), whose sum is σ = 143963008. Its totient is φ = 21657600.

The previous prime is 56147191. The next prime is 56147239. The reversal of 56147200 is 274165.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198259 + ... + 198541.

Almost surely, 2^56147200 is an apocalyptic number.

56147200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71981504).

56147200 is an abundant number, since it is smaller than the sum of its proper divisors (87815808).

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

56147200 is a wasteful number, since it uses less digits than its factorization.

56147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 56147200 is about 7493.1435325903. The cubic root of 56147200 is about 382.9211616843.

The spelling of 56147200 in words is "fifty-six million, one hundred forty-seven thousand, two hundred".