52824096 has 96 divisors (see below), whose sum is σ = 165957120. Its totient is φ = 16250112.

The previous prime is 52824089. The next prime is 52824097. The reversal of 52824096 is 69042825.

It is a happy number.

52824096 is a `hidden beast` number, since 528 + 2 + 40 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 52824096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52824097) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8881 + ... + 13583.

It is an arithmetic number, because the mean of its divisors is an integer number (1728720).

Almost surely, 2^52824096 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 52824096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82978560).

52824096 is an abundant number, since it is smaller than the sum of its proper divisors (113133024).

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

52824096 is a wasteful number, since it uses less digits than its factorization.

52824096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4735 (or 4721 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 52824096 is about 7268.0187121388. The cubic root of 52824096 is about 375.2125515022.

The spelling of 52824096 in words is "fifty-two million, eight hundred twenty-four thousand, ninety-six".