51714432 has 288 divisors, whose sum is σ = 190466640. Its totient is φ = 13178880.

The previous prime is 51714431. The next prime is 51714433. The reversal of 51714432 is 23441715.

51714432 is a `hidden beast` number, since 517 + 144 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (51714431) and next prime (51714433).

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 51714396 and 51714405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51714431) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 975718 + ... + 975770.

Almost surely, 2^51714432 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 51714432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95233320).

51714432 is an abundant number, since it is smaller than the sum of its proper divisors (138752208).

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

51714432 is a wasteful number, since it uses less digits than its factorization.

51714432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 51714432 is about 7191.2747131507. The cubic root of 51714432 is about 372.5666010067.

The spelling of 51714432 in words is "fifty-one million, seven hundred fourteen thousand, four hundred thirty-two".