52253856 has 96 divisors (see below), whose sum is σ = 153679680. Its totient is φ = 17273088.

The previous prime is 52253833. The next prime is 52253893. The reversal of 52253856 is 65835225.

It is a happy number.

52253856 is a `hidden beast` number, since 522 + 53 + 85 + 6 = 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 52253856.

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 15 ways as a sum of consecutive naturals, for example, 170055 + ... + 170361.

It is an arithmetic number, because the mean of its divisors is an integer number (1600830).

Almost surely, 2^52253856 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 52253856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76839840).

52253856 is an abundant number, since it is smaller than the sum of its proper divisors (101425824).

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

52253856 is a wasteful number, since it uses less digits than its factorization.

52253856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 509 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 52253856 is about 7228.6828675769. The cubic root of 52253856 is about 373.8575148084.

The spelling of 52253856 in words is "fifty-two million, two hundred fifty-three thousand, eight hundred fifty-six".