51278832 has 180 divisors, whose sum is σ = 165084920. Its totient is φ = 15396480.

The previous prime is 51278831. The next prime is 51278837. The reversal of 51278832 is 23887215.

It is a super-2 number, since 2×51278832² = 5259037222568448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51278831) 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, 470394 + ... + 470502.

Almost surely, 2^51278832 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 51278832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82542460).

51278832 is an abundant number, since it is smaller than the sum of its proper divisors (113806088).

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

51278832 is a wasteful number, since it uses less digits than its factorization.

51278832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 125 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 51278832 is about 7160.9239627299. The cubic root of 51278832 is about 371.5175848650.

The spelling of 51278832 in words is "fifty-one million, two hundred seventy-eight thousand, eight hundred thirty-two".