52123824 has 100 divisors (see below), whose sum is σ = 155081344. Its totient is φ = 16889472.

The previous prime is 52123807. The next prime is 52123831. The reversal of 52123824 is 42832125.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47409 + ... + 48495.

Almost surely, 2^52123824 is an apocalyptic number.

52123824 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52123824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77540672).

52123824 is an abundant number, since it is smaller than the sum of its proper divisors (102957520).

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

52123824 is a wasteful number, since it uses less digits than its factorization.

52123824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1129 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 52123824 is about 7219.6830955382. The cubic root of 52123824 is about 373.5471465138.

Adding to 52123824 its reverse (42832125), we get a palindrome (94955949).

The spelling of 52123824 in words is "fifty-two million, one hundred twenty-three thousand, eight hundred twenty-four".