51586976 has 192 divisors, whose sum is σ = 139345920. Its totient is φ = 18247680.

The previous prime is 51586963. The next prime is 51587017. The reversal of 51586976 is 67968515.

It is a super-2 number, since 2×51586976² = 5322432185649152, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51586976.

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 31 ways as a sum of consecutive naturals, for example, 1664081 + ... + 1664111.

It is an arithmetic number, because the mean of its divisors is an integer number (725760).

Almost surely, 2^51586976 is an apocalyptic number.

51586976 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 51586976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69672960).

51586976 is an abundant number, since it is smaller than the sum of its proper divisors (87758944).

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

51586976 is a wasteful number, since it uses less digits than its factorization.

51586976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 99 counting only the distinct ones).

The product of its digits is 453600, while the sum is 47.

The square root of 51586976 is about 7182.4073958527. The cubic root of 51586976 is about 372.2602718593.

The spelling of 51586976 in words is "fifty-one million, five hundred eighty-six thousand, nine hundred seventy-six".