51933440 has 72 divisors (see below), whose sum is σ = 134008728. Its totient is φ = 19169280.

The previous prime is 51933439. The next prime is 51933443. The reversal of 51933440 is 4433915.

It can be written as a sum of positive squares in 4 ways, for example, as 3268864 + 48664576 = 1808^2 + 6976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51933443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15080 + ... + 18200.

Almost surely, 2^51933440 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 51933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67004364).

51933440 is an abundant number, since it is smaller than the sum of its proper divisors (82075288).

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

51933440 is a wasteful number, since it uses less digits than its factorization.

51933440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3155 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 51933440 is about 7206.4859675157. The cubic root of 51933440 is about 373.0917938757.

The spelling of 51933440 in words is "fifty-one million, nine hundred thirty-three thousand, four hundred forty".