47971584 has 108 divisors (see below), whose sum is σ = 141575616. Its totient is φ = 15614976.

The previous prime is 47971571. The next prime is 47971591. The reversal of 47971584 is 48517974.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108067 + ... + 108509.

Almost surely, 2^47971584 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 47971584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70787808).

47971584 is an abundant number, since it is smaller than the sum of its proper divisors (93604032).

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

47971584 is a wasteful number, since it uses less digits than its factorization.

47971584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 495 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 47971584 is about 6926.1521785187. The cubic root of 47971584 is about 363.3523887171.

The spelling of 47971584 in words is "forty-seven million, nine hundred seventy-one thousand, five hundred eighty-four".