52824192 has 64 divisors (see below), whose sum is σ = 146439360. Its totient is φ = 16839680.

The previous prime is 52824181. The next prime is 52824203. The reversal of 52824192 is 29142825.

It is an interprime number because it is at equal distance from previous prime (52824181) and next prime (52824203).

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 5842 + ... + 11822.

It is an arithmetic number, because the mean of its divisors is an integer number (2288115).

Almost surely, 2^52824192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52824192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73219680).

52824192 is an abundant number, since it is smaller than the sum of its proper divisors (93615168).

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

52824192 is a wasteful number, since it uses less digits than its factorization.

52824192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6021 (or 6009 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 52824192 is about 7268.0253164116. The cubic root of 52824192 is about 375.2127787999.

The spelling of 52824192 in words is "fifty-two million, eight hundred twenty-four thousand, one hundred ninety-two".