51886656 has 70 divisors (see below), whose sum is σ = 153823670. Its totient is φ = 17293824.

The previous prime is 51886651. The next prime is 51886673. The reversal of 51886656 is 65668815.

51886656 is a `hidden beast` number, since 518 + 86 + 6 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51840000 + 46656 = 7200^2 + 216^2 .

It is not an unprimeable number, because it can be changed into a prime (51886651) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 180 + ... + 10188.

It is an arithmetic number, because the mean of its divisors is an integer number (2197481).

Almost surely, 2^51886656 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 51886656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76911835).

51886656 is an abundant number, since it is smaller than the sum of its proper divisors (101937014).

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

51886656 is a wasteful number, since it uses less digits than its factorization.

51886656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10033 (or 10014 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 51886656 is about 7203.2392713279. The cubic root of 51886656 is about 372.9797275433.

The spelling of 51886656 in words is "fifty-one million, eight hundred eighty-six thousand, six hundred fifty-six".