47626656 has 192 divisors, whose sum is σ = 165473280. Its totient is φ = 11612160.

The previous prime is 47626637. The next prime is 47626669. The reversal of 47626656 is 65662674.

47626656 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 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 31 ways as a sum of consecutive naturals, for example, 125475 + ... + 125853.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 2^47626656 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 47626656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82736640).

47626656 is an abundant number, since it is smaller than the sum of its proper divisors (117846624).

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

47626656 is a wasteful number, since it uses less digits than its factorization.

47626656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 47626656 is about 6901.2068509790. The cubic root of 47626656 is about 362.4794274492.

The spelling of 47626656 in words is "forty-seven million, six hundred twenty-six thousand, six hundred fifty-six".