51417856 has 54 divisors (see below), whose sum is σ = 119420700. Its totient is φ = 22030848.

The previous prime is 51417853. The next prime is 51417889. The reversal of 51417856 is 65871415.

It is not an unprimeable number, because it can be changed into a prime (51417853) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 10495 + ... + 14593.

Almost surely, 2^51417856 is an apocalyptic number.

51417856 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 51417856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59710350).

51417856 is an abundant number, since it is smaller than the sum of its proper divisors (68002844).

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

51417856 is an equidigital number, since it uses as much as digits as its factorization.

51417856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4129 (or 4108 counting only the distinct ones).

The product of its digits is 33600, while the sum is 37.

The square root of 51417856 is about 7170.6245195241. The cubic root of 51417856 is about 371.8530270754.

It can be divided in two parts, 51 and 417856, that multiplied together give a triangular number (21310656 = T₆₅₂₈).

The spelling of 51417856 in words is "fifty-one million, four hundred seventeen thousand, eight hundred fifty-six".