52564240 has 80 divisors (see below), whose sum is σ = 128116800. Its totient is φ = 20030976.

The previous prime is 52564231. The next prime is 52564243. The reversal of 52564240 is 4246525.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 52564199 and 52564208.

It is not an unprimeable number, because it can be changed into a prime (52564243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322399 + ... + 322561.

It is an arithmetic number, because the mean of its divisors is an integer number (1601460).

Almost surely, 2^52564240 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 52564240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64058400).

52564240 is an abundant number, since it is smaller than the sum of its proper divisors (75552560).

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

52564240 is a wasteful number, since it uses less digits than its factorization.

52564240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 52564240 is about 7250.1199990069. The cubic root of 52564240 is about 374.5962825590.

The spelling of 52564240 in words is "fifty-two million, five hundred sixty-four thousand, two hundred forty".