51755832 has 96 divisors (see below), whose sum is σ = 146031600. Its totient is φ = 16547328.

The previous prime is 51755831. The next prime is 51755839. The reversal of 51755832 is 23855715.

51755832 is a `hidden beast` number, since 5 + 1 + 75 + 583 + 2 = 666.

It is a super-2 number, since 2×51755832² = 5357332292024448, which contains 22 as substring.

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

Its product of digits (42000) is a multiple of the sum of its prime divisors (350).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51755831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225894 + ... + 226122.

Almost surely, 2^51755832 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 51755832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73015800).

51755832 is an abundant number, since it is smaller than the sum of its proper divisors (94275768).

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

51755832 is a wasteful number, since it uses less digits than its factorization.

51755832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 350 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 51755832 is about 7194.1526255703. The cubic root of 51755832 is about 372.6659939134.

The spelling of 51755832 in words is "fifty-one million, seven hundred fifty-five thousand, eight hundred thirty-two".