52814592 has 126 divisors (see below), whose sum is σ = 158620532. Its totient is φ = 17542656.

The previous prime is 52814569. The next prime is 52814609. The reversal of 52814592 is 29541825.

52814592 is a `hidden beast` number, since 52 + 8 + 14 + 592 = 666.

It is a super-2 number, since 2×52814592² = 5578762256252928, which contains 22 as substring.

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

Its product of digits (28800) is a multiple of the sum of its prime divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 186483 + ... + 186765.

Almost surely, 2^52814592 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 52814592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79310266).

52814592 is an abundant number, since it is smaller than the sum of its proper divisors (105805940).

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

52814592 is an frugal number, since it uses more digits than its factorization.

52814592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 288 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 52814592 is about 7267.3648594246. The cubic root of 52814592 is about 375.1900476688.

The spelling of 52814592 in words is "fifty-two million, eight hundred fourteen thousand, five hundred ninety-two".