51624740 has 48 divisors (see below), whose sum is σ = 112042224. Its totient is φ = 19968000.

The previous prime is 51624721. The next prime is 51624787. The reversal of 51624740 is 4742615.

51624740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 702244 + 50922496 = 838^2 + 7136^2 .

It is a super-2 number, since 2×51624740² = 5330227560135200, which contains 22 as substring.

It is an unprimeable number.

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, 128540 + ... + 128940.

It is an arithmetic number, because the mean of its divisors is an integer number (2334213).

Almost surely, 2^51624740 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 51624740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56021112).

51624740 is an abundant number, since it is smaller than the sum of its proper divisors (60417484).

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

51624740 is a wasteful number, since it uses less digits than its factorization.

51624740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 51624740 is about 7185.0358384632. The cubic root of 51624740 is about 372.3510868221.

The spelling of 51624740 in words is "fifty-one million, six hundred twenty-four thousand, seven hundred forty".