52301824 has 39 divisors (see below), whose sum is σ = 105524653. Its totient is φ = 25919488.

The previous prime is 52301807. The next prime is 52301861. The reversal of 52301824 is 42810325.

The square root of 52301824 is 7232.

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

It can be written as a sum of positive squares in only one way, i.e., 921600 + 51380224 = 960^2 + 7168^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 462792 + ... + 462904.

Almost surely, 2^52301824 is an apocalyptic number.

52301824 is the 7232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52301824

52301824 is an abundant number, since it is smaller than the sum of its proper divisors (53222829).

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

52301824 is an frugal number, since it uses more digits than its factorization.

52301824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The cubic root of 52301824 is about 373.9718777409.

Multiplying 52301824 by its sum of digits (25), we get a square (1307545600 = 36160²).

The spelling of 52301824 in words is "fifty-two million, three hundred one thousand, eight hundred twenty-four".