56346752 has 64 divisors (see below), whose sum is σ = 139976640. Its totient is φ = 21949440.

The previous prime is 56346709. The next prime is 56346767. The reversal of 56346752 is 25764365.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 6998 + ... + 12714.

It is an arithmetic number, because the mean of its divisors is an integer number (2187135).

Almost surely, 2^56346752 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 56346752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69988320).

56346752 is an abundant number, since it is smaller than the sum of its proper divisors (83629888).

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

56346752 is a wasteful number, since it uses less digits than its factorization.

56346752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5749 (or 5737 counting only the distinct ones).

The product of its digits is 151200, while the sum is 38.

The square root of 56346752 is about 7506.4473621015. The cubic root of 56346752 is about 383.3742702763.

The spelling of 56346752 in words is "fifty-six million, three hundred forty-six thousand, seven hundred fifty-two".