52382560 has 96 divisors (see below), whose sum is σ = 130636800. Its totient is φ = 19822080.

The previous prime is 52382521. The next prime is 52382587. The reversal of 52382560 is 6528325.

It is a happy number.

52382560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×52382560³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 292551 + ... + 292729.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2^52382560 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 52382560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65318400).

52382560 is an abundant number, since it is smaller than the sum of its proper divisors (78254240).

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

52382560 is a wasteful number, since it uses less digits than its factorization.

52382560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 52382560 is about 7237.5797059514. The cubic root of 52382560 is about 374.1642067310.

The spelling of 52382560 in words is "fifty-two million, three hundred eighty-two thousand, five hundred sixty".