51286624 has 48 divisors (see below), whose sum is σ = 107956800. Its totient is φ = 23912064.

The previous prime is 51286607. The next prime is 51286657. The reversal of 51286624 is 42668215.

It is a self number, because there is not a number n which added to its sum of digits gives 51286624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40107 + ... + 41365.

It is an arithmetic number, because the mean of its divisors is an integer number (2249100).

Almost surely, 2^51286624 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 51286624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53978400).

51286624 is an abundant number, since it is smaller than the sum of its proper divisors (56670176).

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

51286624 is a wasteful number, since it uses less digits than its factorization.

51286624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1347 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 51286624 is about 7161.4680059329. The cubic root of 51286624 is about 371.5364017159.

The spelling of 51286624 in words is "fifty-one million, two hundred eighty-six thousand, six hundred twenty-four".