56301336 has 144 divisors (see below), whose sum is σ = 188987760. Its totient is φ = 14826240.

The previous prime is 56301283. The next prime is 56301337. The reversal of 56301336 is 63310365.

56301336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56301337) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 84846 + ... + 85506.

It is an arithmetic number, because the mean of its divisors is an integer number (1312415).

Almost surely, 2^56301336 is an apocalyptic number.

56301336 is a gapful number since it is divisible by the number (56) 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 56301336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94493880).

56301336 is an abundant number, since it is smaller than the sum of its proper divisors (132686424).

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

56301336 is a wasteful number, since it uses less digits than its factorization.

56301336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 56301336 is about 7503.4216195013. The cubic root of 56301336 is about 383.2712415288.

The spelling of 56301336 in words is "fifty-six million, three hundred one thousand, three hundred thirty-six".