52381584 has 30 divisors (see below), whose sum is σ = 146596086. Its totient is φ = 17460480.

The previous prime is 52381583. The next prime is 52381597. The reversal of 52381584 is 48518325.

It is a happy number.

52381584 is a `hidden beast` number, since 523 + 81 + 58 + 4 = 666.

52381584 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., 46621584 + 5760000 = 6828^2 + 2400^2 .

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

It is not an unprimeable number, because it can be changed into a prime (52381583) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 181737 + ... + 182024.

Almost surely, 2^52381584 is an apocalyptic number.

It is an amenable number.

52381584 is an abundant number, since it is smaller than the sum of its proper divisors (94214502).

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

52381584 is a wasteful number, since it uses less digits than its factorization.

52381584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363775 (or 363766 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 52381584 is about 7237.5122797823. The cubic root of 52381584 is about 374.1618828881.

The spelling of 52381584 in words is "fifty-two million, three hundred eighty-one thousand, five hundred eighty-four".