51933840 has 160 divisors (see below), whose sum is σ = 193797120. Its totient is φ = 11238912.

The previous prime is 51933811. The next prime is 51933851. The reversal of 51933840 is 4833915.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31107 + ... + 32733.

It is an arithmetic number, because the mean of its divisors is an integer number (1211232).

Almost surely, 2^51933840 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 51933840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96898560).

51933840 is an abundant number, since it is smaller than the sum of its proper divisors (141863280).

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

51933840 is a wasteful number, since it uses less digits than its factorization.

51933840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 51933840 is about 7206.5137202395. The cubic root of 51933840 is about 373.0927517450.

The spelling of 51933840 in words is "fifty-one million, nine hundred thirty-three thousand, eight hundred forty".