51986256 has 180 divisors, whose sum is σ = 168444576. Its totient is φ = 13749120.

The previous prime is 51986243. The next prime is 51986267. The reversal of 51986256 is 65268915.

51986256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1676961 + ... + 1676991.

Almost surely, 2^51986256 is an apocalyptic number.

51986256 is a gapful number since it is divisible by the number (56) 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 51986256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84222288).

51986256 is an abundant number, since it is smaller than the sum of its proper divisors (116458320).

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

51986256 is a wasteful number, since it uses less digits than its factorization.

51986256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 66 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 51986256 is about 7210.1495130129. The cubic root of 51986256 is about 373.2182284038.

The spelling of 51986256 in words is "fifty-one million, nine hundred eighty-six thousand, two hundred fifty-six".