47984256 has 96 divisors (see below), whose sum is σ = 144162720. Its totient is φ = 15290880.

The previous prime is 47984219. The next prime is 47984263. The reversal of 47984256 is 65248974.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 25591 + ... + 27401.

It is an arithmetic number, because the mean of its divisors is an integer number (1501695).

Almost surely, 2^47984256 is an apocalyptic number.

47984256 is a gapful number since it is divisible by the number (46) 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 47984256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72081360).

47984256 is an abundant number, since it is smaller than the sum of its proper divisors (96178464).

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

47984256 is a wasteful number, since it uses less digits than its factorization.

47984256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1839 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 47984256 is about 6927.0669117600. The cubic root of 47984256 is about 363.3843798510.

The spelling of 47984256 in words is "forty-seven million, nine hundred eighty-four thousand, two hundred fifty-six".