47977584 has 80 divisors (see below), whose sum is σ = 134753280. Its totient is φ = 14653440.

The previous prime is 47977541. The next prime is 47977591. The reversal of 47977584 is 48577974.

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 15 ways as a sum of consecutive naturals, for example, 27424 + ... + 29120.

It is an arithmetic number, because the mean of its divisors is an integer number (1684416).

Almost surely, 2^47977584 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 47977584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67376640).

47977584 is an abundant number, since it is smaller than the sum of its proper divisors (86775696).

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

47977584 is a wasteful number, since it uses less digits than its factorization.

47977584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1752 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 51.

The square root of 47977584 is about 6926.5853059065. The cubic root of 47977584 is about 363.3675367365.

The spelling of 47977584 in words is "forty-seven million, nine hundred seventy-seven thousand, five hundred eighty-four".