51076256 has 96 divisors (see below), whose sum is σ = 132088320. Its totient is φ = 18835200.

The previous prime is 51076229. The next prime is 51076301. The reversal of 51076256 is 65267015.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46271 + ... + 47361.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^51076256 is an apocalyptic number.

51076256 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 51076256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160).

51076256 is an abundant number, since it is smaller than the sum of its proper divisors (81012064).

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

51076256 is a wasteful number, since it uses less digits than its factorization.

51076256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 51076256 is about 7146.7654222033. The cubic root of 51076256 is about 371.0277149615.

It can be divided in two parts, 51076 and 256, that multiplied together give a square (13075456 = 3616²).

The spelling of 51076256 in words is "fifty-one million, seventy-six thousand, two hundred fifty-six".