56333952 has 96 divisors (see below), whose sum is σ = 164424000. Its totient is φ = 18510336.

The previous prime is 56333947. The next prime is 56333957. The reversal of 56333952 is 25933365.

56333952 is a `hidden beast` number, since 563 + 3 + 3 + 95 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (56333947) and next prime (56333957).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (56333957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90699 + ... + 91317.

It is an arithmetic number, because the mean of its divisors is an integer number (1712750).

Almost surely, 2^56333952 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 56333952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82212000).

56333952 is an abundant number, since it is smaller than the sum of its proper divisors (108090048).

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

56333952 is a wasteful number, since it uses less digits than its factorization.

56333952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 703 counting only the distinct ones).

The product of its digits is 72900, while the sum is 36.

The square root of 56333952 is about 7505.5947132789. The cubic root of 56333952 is about 383.3452383616.

It can be divided in two parts, 563339 and 52, that added together give a triangular number (563391 = T₁₀₆₁).

The spelling of 56333952 in words is "fifty-six million, three hundred thirty-three thousand, nine hundred fifty-two".