56252736 has 84 divisors (see below), whose sum is σ = 163983924. Its totient is φ = 18432000.

The previous prime is 56252701. The next prime is 56252737. The reversal of 56252736 is 63725265.

It is a happy number.

56252736 is a `hidden beast` number, since 5 + 625 + 27 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31809600 + 24443136 = 5640^2 + 4944^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (75600) is a multiple of the sum of its prime factors (1680).

It is a self number, because there is not a number n which added to its sum of digits gives 56252736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56252737) by changing a digit.

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, 34336 + ... + 35936.

Almost surely, 2^56252736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56252736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81991962).

56252736 is an abundant number, since it is smaller than the sum of its proper divisors (107731188).

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

56252736 is a wasteful number, since it uses less digits than its factorization.

56252736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1667 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 56252736 is about 7500.1823977821. The cubic root of 56252736 is about 383.1609283112.

The spelling of 56252736 in words is "fifty-six million, two hundred fifty-two thousand, seven hundred thirty-six".