52384896 has 96 divisors (see below), whose sum is σ = 154943100. Its totient is φ = 16975872.

The previous prime is 52384889. The next prime is 52384897. The reversal of 52384896 is 69848325.

It can be written as a sum of positive squares in 2 ways, for example, as 37454400 + 14930496 = 6120^2 + 3864^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (52384897) 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, 42010 + ... + 43238.

Almost surely, 2^52384896 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 52384896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77471550).

52384896 is an abundant number, since it is smaller than the sum of its proper divisors (102558204).

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

52384896 is a wasteful number, since it uses less digits than its factorization.

52384896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1271 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 52384896 is about 7237.7410840676. The cubic root of 52384896 is about 374.1697685987.

The spelling of 52384896 in words is "fifty-two million, three hundred eighty-four thousand, eight hundred ninety-six".