51938432 has 120 divisors (see below), whose sum is σ = 130708665. Its totient is φ = 20547072.

The previous prime is 51938407. The next prime is 51938441. The reversal of 51938432 is 23483915.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 44408896 + 7529536 = 6664^2 + 2744^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=5096.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 51938392 and 51938401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3995258 + ... + 3995270.

Almost surely, 2^51938432 is an apocalyptic number.

51938432 is a gapful number since it is divisible by the number (52) 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 51938432

51938432 is an abundant number, since it is smaller than the sum of its proper divisors (78770233).

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

51938432 is an frugal number, since it uses more digits than its factorization.

51938432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 22 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 51938432 is about 7206.8323138533. The cubic root of 51938432 is about 373.1037477315.

The spelling of 51938432 in words is "fifty-one million, nine hundred thirty-eight thousand, four hundred thirty-two".