51952320 has 224 divisors, whose sum is σ = 209702400. Its totient is φ = 11860992.

The previous prime is 51952301. The next prime is 51952337. The reversal of 51952320 is 2325915.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60051 + ... + 60909.

Almost surely, 2^51952320 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 51952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104851200).

51952320 is an abundant number, since it is smaller than the sum of its proper divisors (157750080).

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

51952320 is a wasteful number, since it uses less digits than its factorization.

51952320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 51952320 is about 7207.7957795709. The cubic root of 51952320 is about 373.1369999423.

The spelling of 51952320 in words is "fifty-one million, nine hundred fifty-two thousand, three hundred twenty".