51424632 has 96 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 14688864.

The previous prime is 51424613. The next prime is 51424651. The reversal of 51424632 is 23642415.

51424632 is a `hidden beast` number, since 5 + 1 + 4 + 24 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (51424613) and next prime (51424651).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 51424596 and 51424605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11719 + ... + 15497.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2^51424632 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 51424632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

51424632 is an abundant number, since it is smaller than the sum of its proper divisors (113685768).

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

51424632 is a wasteful number, since it uses less digits than its factorization.

51424632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3807 (or 3791 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 51424632 is about 7171.0969872119. The cubic root of 51424632 is about 371.8693609954.

The spelling of 51424632 in words is "fifty-one million, four hundred twenty-four thousand, six hundred thirty-two".