47993856 has 88 divisors (see below), whose sum is σ = 135593280. Its totient is φ = 15040512.

The previous prime is 47993819. The next prime is 47993857. The reversal of 47993856 is 65839974.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 47993799 and 47993808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47993857) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51765 + ... + 52683.

Almost surely, 2^47993856 is an apocalyptic number.

47993856 is the 4382-nd centered pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47993856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67796640).

47993856 is an abundant number, since it is smaller than the sum of its proper divisors (87599424).

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

47993856 is a wasteful number, since it uses less digits than its factorization.

47993856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 941 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 47993856 is about 6927.7598110789. The cubic root of 47993856 is about 363.4086118091.

The spelling of 47993856 in words is "forty-seven million, nine hundred ninety-three thousand, eight hundred fifty-six".