52355808 has 72 divisors (see below), whose sum is σ = 154424088. Its totient is φ = 17449344.

The previous prime is 52355803. The next prime is 52355813. The reversal of 52355808 is 80855325.

52355808 is a `hidden beast` number, since 523 + 55 + 80 + 8 = 666.

52355808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52355803) and next prime (52355813).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×52355808² = 5482261262665728, which contains 22 as substring.

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 (52355803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4410 + ... + 11142.

It is an arithmetic number, because the mean of its divisors is an integer number (2144779).

Almost surely, 2^52355808 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 52355808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77212044).

52355808 is an abundant number, since it is smaller than the sum of its proper divisors (102068280).

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

52355808 is an equidigital number, since it uses as much as digits as its factorization.

52355808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6758 (or 6738 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 52355808 is about 7235.7313382961. The cubic root of 52355808 is about 374.1005001251.

The spelling of 52355808 in words is "fifty-two million, three hundred fifty-five thousand, eight hundred eight".