51978024 has 120 divisors (see below), whose sum is σ = 169459290. Its totient is φ = 14841792.

The previous prime is 51977983. The next prime is 51978127. The reversal of 51978024 is 42087915.

It can be written as a sum of positive squares in only one way, i.e., 51581124 + 396900 = 7182^2 + 630^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 51978024.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30934 + ... + 32570.

Almost surely, 2^51978024 is an apocalyptic number.

51978024 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51978024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84729645).

51978024 is an abundant number, since it is smaller than the sum of its proper divisors (117481266).

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

51978024 is a wasteful number, since it uses less digits than its factorization.

51978024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 51978024 is about 7209.5786284637. The cubic root of 51978024 is about 373.1985277183.

The spelling of 51978024 in words is "fifty-one million, nine hundred seventy-eight thousand, twenty-four".