47361924 has 81 divisors (see below), whose sum is σ = 127140741. Its totient is φ = 14865120.

The previous prime is 47361911. The next prime is 47361931. The reversal of 47361924 is 42916374.

The square root of 47361924 is 6882.

It is a perfect power (a square), and thus also a powerful number.

47361924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 42380100 + 4981824 = 6510^2 + 2232^2 .

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 (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1280034 + ... + 1280070.

Almost surely, 2^47361924 is an apocalyptic number.

47361924 is the 6882-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47361924

47361924 is an abundant number, since it is smaller than the sum of its proper divisors (79778817).

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

47361924 is a wasteful number, since it uses less digits than its factorization.

47361924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 73 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The cubic root of 47361924 is about 361.8065671917.

Multiplying 47361924 by its sum of digits (36), we get a square (1705029264 = 41292²).

47361924 divided by its sum of digits (36) gives a square (1315609 = 1147²).

The spelling of 47361924 in words is "forty-seven million, three hundred sixty-one thousand, nine hundred twenty-four".