56589312 has 132 divisors (see below), whose sum is σ = 164824440. Its totient is φ = 17252352.

The previous prime is 56589301. The next prime is 56589331. The reversal of 56589312 is 21398565.

56589312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 519114 + ... + 519222.

It is an arithmetic number, because the mean of its divisors is an integer number (1248670).

Almost surely, 2^56589312 is an apocalyptic number.

56589312 is a gapful number since it is divisible by the number (52) 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 56589312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82412220).

56589312 is an abundant number, since it is smaller than the sum of its proper divisors (108235128).

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

56589312 is a wasteful number, since it uses less digits than its factorization.

56589312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 127 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 56589312 is about 7522.5867891305. The cubic root of 56589312 is about 383.9235959101.

The spelling of 56589312 in words is "fifty-six million, five hundred eighty-nine thousand, three hundred twelve".