53112384 has 168 divisors, whose sum is σ = 168917112. Its totient is φ = 15851520.

The previous prime is 53112383. The next prime is 53112407. The reversal of 53112384 is 48321135.

It is a happy number.

53112384 is a `hidden beast` number, since 531 + 123 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1272384 + 51840000 = 1128^2 + 7200^2 .

It is not an unprimeable number, because it can be changed into a prime (53112383) 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 23 ways as a sum of consecutive naturals, for example, 306922 + ... + 307094.

It is an arithmetic number, because the mean of its divisors is an integer number (1005459).

Almost surely, 2^53112384 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 53112384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84458556).

53112384 is an abundant number, since it is smaller than the sum of its proper divisors (115804728).

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

53112384 is a wasteful number, since it uses less digits than its factorization.

53112384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 232 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 53112384 is about 7287.8243667092. The cubic root of 53112384 is about 375.8938888741.

The spelling of 53112384 in words is "fifty-three million, one hundred twelve thousand, three hundred eighty-four".