52404768 has 72 divisors (see below), whose sum is σ = 160501068. Its totient is φ = 16123392.

The previous prime is 52404763. The next prime is 52404773. The reversal of 52404768 is 86740425.

It is an interprime number because it is at equal distance from previous prime (52404763) and next prime (52404773).

It can be written as a sum of positive squares in 2 ways, for example, as 50296464 + 2108304 = 7092^2 + 1452^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (52404763) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3255 + ... + 10742.

Almost surely, 2^52404768 is an apocalyptic number.

It is an amenable number.

52404768 is an abundant number, since it is smaller than the sum of its proper divisors (108096300).

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

52404768 is a wasteful number, since it uses less digits than its factorization.

52404768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14026 (or 14015 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 52404768 is about 7239.1137579126. The cubic root of 52404768 is about 374.2170758838.

The spelling of 52404768 in words is "fifty-two million, four hundred four thousand, seven hundred sixty-eight".