52204824 has 160 divisors (see below), whose sum is σ = 177202080. Its totient is φ = 14017536.

The previous prime is 52204769. The next prime is 52204853. The reversal of 52204824 is 42840225.

It is a happy number.

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 76774 + ... + 77450.

It is an arithmetic number, because the mean of its divisors is an integer number (1107513).

Almost surely, 2^52204824 is an apocalyptic number.

52204824 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 52204824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88601040).

52204824 is an abundant number, since it is smaller than the sum of its proper divisors (124997256).

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

52204824 is a wasteful number, since it uses less digits than its factorization.

52204824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 52204824 is about 7225.2905823918. The cubic root of 52204824 is about 373.7405427822.

The spelling of 52204824 in words is "fifty-two million, two hundred four thousand, eight hundred twenty-four".