52088000 has 112 divisors (see below), whose sum is σ = 136940544. Its totient is φ = 19558400.

The previous prime is 52087993. The next prime is 52088039. The reversal of 52088000 is 88025.

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, 135809 + ... + 136191.

Almost surely, 2^52088000 is an apocalyptic number.

52088000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68470272).

52088000 is an abundant number, since it is smaller than the sum of its proper divisors (84852544).

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

52088000 is a wasteful number, since it uses less digits than its factorization.

52088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 52088000 is about 7217.2016737791. The cubic root of 52088000 is about 373.4615489318.

The spelling of 52088000 in words is "fifty-two million, eighty-eight thousand".