52524288 has 180 divisors, whose sum is σ = 166943700. Its totient is φ = 16367616.

The previous prime is 52524253. The next prime is 52524289. The reversal of 52524288 is 88242525.

52524288 is a `hidden beast` number, since 52 + 524 + 2 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22581504 + 29942784 = 4752^2 + 5472^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52524289) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 352438 + ... + 352586.

It is an arithmetic number, because the mean of its divisors is an integer number (927465).

Almost surely, 2^52524288 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 52524288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83471850).

52524288 is an abundant number, since it is smaller than the sum of its proper divisors (114419412).

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

52524288 is a wasteful number, since it uses less digits than its factorization.

52524288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 171 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The square root of 52524288 is about 7247.3642105251. The cubic root of 52524288 is about 374.5013532310.

The spelling of 52524288 in words is "fifty-two million, five hundred twenty-four thousand, two hundred eighty-eight".