51431936 has 80 divisors (see below), whose sum is σ = 114903360. Its totient is φ = 22855680.

The previous prime is 51431911. The next prime is 51431983. The reversal of 51431936 is 63913415.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165221 + ... + 165531.

It is an arithmetic number, because the mean of its divisors is an integer number (1436292).

Almost surely, 2^51431936 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 51431936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57451680).

51431936 is an abundant number, since it is smaller than the sum of its proper divisors (63471424).

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

51431936 is a wasteful number, since it uses less digits than its factorization.

51431936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 349 counting only the distinct ones).

The product of its digits is 9720, while the sum is 32.

The square root of 51431936 is about 7171.6062357048. The cubic root of 51431936 is about 371.8869660815.

The spelling of 51431936 in words is "fifty-one million, four hundred thirty-one thousand, nine hundred thirty-six".