47287584 has 96 divisors (see below), whose sum is σ = 139104000. Its totient is φ = 15628032.

The previous prime is 47287571. The next prime is 47287601. The reversal of 47287584 is 48578274.

47287584 is a `hidden beast` number, since 47 + 28 + 7 + 584 = 666.

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

It is a super-2 number, since 2×47287584² = 4472231201114112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197737 + ... + 197975.

It is an arithmetic number, because the mean of its divisors is an integer number (1449000).

Almost surely, 2^47287584 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 47287584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69552000).

47287584 is an abundant number, since it is smaller than the sum of its proper divisors (91816416).

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

47287584 is a wasteful number, since it uses less digits than its factorization.

47287584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 473 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 47287584 is about 6876.5968327364. The cubic root of 47287584 is about 361.6171690232.

The spelling of 47287584 in words is "forty-seven million, two hundred eighty-seven thousand, five hundred eighty-four".