51952824 has 96 divisors (see below), whose sum is σ = 175443840. Its totient is φ = 13492800.

The previous prime is 51952811. The next prime is 51952829. The reversal of 51952824 is 42825915.

51952824 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51952829) 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 23 ways as a sum of consecutive naturals, for example, 859 + ... + 10229.

It is an arithmetic number, because the mean of its divisors is an integer number (1827540).

Almost surely, 2^51952824 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 51952824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87721920).

51952824 is an abundant number, since it is smaller than the sum of its proper divisors (123491016).

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

51952824 is a wasteful number, since it uses less digits than its factorization.

51952824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9401 (or 9394 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 51952824 is about 7207.8307416309. The cubic root of 51952824 is about 373.1382065644.

The spelling of 51952824 in words is "fifty-one million, nine hundred fifty-two thousand, eight hundred twenty-four".