51576224 has 96 divisors (see below), whose sum is σ = 122572800. Its totient is φ = 21337344.

The previous prime is 51576209. The next prime is 51576229. The reversal of 51576224 is 42267515.

51576224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (51576229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406049 + ... + 406175.

It is an arithmetic number, because the mean of its divisors is an integer number (1276800).

Almost surely, 2^51576224 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 51576224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61286400).

51576224 is an abundant number, since it is smaller than the sum of its proper divisors (70996576).

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

51576224 is a wasteful number, since it uses less digits than its factorization.

51576224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 173 counting only the distinct ones).

The product of its digits is 16800, while the sum is 32.

The square root of 51576224 is about 7181.6588612938. The cubic root of 51576224 is about 372.2344073171.

The spelling of 51576224 in words is "fifty-one million, five hundred seventy-six thousand, two hundred twenty-four".