47564352 has 84 divisors (see below), whose sum is σ = 148748496. Its totient is φ = 14411520.

The previous prime is 47564347. The next prime is 47564371. The reversal of 47564352 is 25346574.

47564352 is a `hidden beast` number, since 4 + 7 + 5 + 643 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2583 + ... + 10089.

Almost surely, 2^47564352 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 47564352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74374248).

47564352 is an abundant number, since it is smaller than the sum of its proper divisors (101184144).

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

47564352 is a wasteful number, since it uses less digits than its factorization.

47564352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7536 (or 7523 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 47564352 is about 6896.6913806549. The cubic root of 47564352 is about 362.3212963016.

The spelling of 47564352 in words is "forty-seven million, five hundred sixty-four thousand, three hundred fifty-two".