51938320 has 80 divisors (see below), whose sum is σ = 139098240. Its totient is φ = 17667072.

The previous prime is 51938311. The next prime is 51938351. The reversal of 51938320 is 2383915.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 90996 + ... + 91564.

It is an arithmetic number, because the mean of its divisors is an integer number (1738728).

Almost surely, 2^51938320 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 51938320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69549120).

51938320 is an abundant number, since it is smaller than the sum of its proper divisors (87159920).

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

51938320 is a wasteful number, since it uses less digits than its factorization.

51938320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 51938320 is about 7206.8245434449. The cubic root of 51938320 is about 373.1034795445.

The spelling of 51938320 in words is "fifty-one million, nine hundred thirty-eight thousand, three hundred twenty".