51832032 has 96 divisors (see below), whose sum is σ = 156909312. Its totient is φ = 14674944.

The previous prime is 51832021. The next prime is 51832051. The reversal of 51832032 is 23023815.

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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 51831993 and 51832011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91783 + ... + 92345.

It is an arithmetic number, because the mean of its divisors is an integer number (1634472).

Almost surely, 2^51832032 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 51832032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78454656).

51832032 is an abundant number, since it is smaller than the sum of its proper divisors (105077280).

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

51832032 is a wasteful number, since it uses less digits than its factorization.

51832032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 51832032 is about 7199.4466454027. The cubic root of 51832032 is about 372.8487960098.

Adding to 51832032 its reverse (23023815), we get a palindrome (74855847).

The spelling of 51832032 in words is "fifty-one million, eight hundred thirty-two thousand, thirty-two".