47968256 has 78 divisors (see below), whose sum is σ = 112052880. Its totient is φ = 20471808.

The previous prime is 47968231. The next prime is 47968267. The reversal of 47968256 is 65286974.

It is a self number, because there is not a number n which added to its sum of digits gives 47968256.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 200585 + ... + 200823.

Almost surely, 2^47968256 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 47968256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56026440).

47968256 is an abundant number, since it is smaller than the sum of its proper divisors (64084624).

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

47968256 is an equidigital number, since it uses as much as digits as its factorization.

47968256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 248 counting only the distinct ones).

The product of its digits is 725760, while the sum is 47.

The square root of 47968256 is about 6925.9119255157. The cubic root of 47968256 is about 363.3439860712.

The spelling of 47968256 in words is "forty-seven million, nine hundred sixty-eight thousand, two hundred fifty-six".