56277312 has 112 divisors (see below), whose sum is σ = 183318912. Its totient is φ = 14837760.

The previous prime is 56277311. The next prime is 56277317. The reversal of 56277312 is 21377265.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56277311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15862 + ... + 19082.

It is an arithmetic number, because the mean of its divisors is an integer number (1636776).

Almost surely, 2^56277312 is an apocalyptic number.

56277312 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 56277312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91659456).

56277312 is an abundant number, since it is smaller than the sum of its proper divisors (127041600).

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

56277312 is a wasteful number, since it uses less digits than its factorization.

56277312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3256 (or 3246 counting only the distinct ones).

The product of its digits is 17640, while the sum is 33.

The square root of 56277312 is about 7501.8205790328. The cubic root of 56277312 is about 383.2167193278.

The spelling of 56277312 in words is "fifty-six million, two hundred seventy-seven thousand, three hundred twelve".