52493200 has 60 divisors (see below), whose sum is σ = 132771760. Its totient is φ = 19889280.

The previous prime is 52493173. The next prime is 52493251. The reversal of 52493200 is 239425.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4147 + ... + 11053.

Almost surely, 2^52493200 is an apocalyptic number.

52493200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52493200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66385880).

52493200 is an abundant number, since it is smaller than the sum of its proper divisors (80278560).

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

52493200 is a wasteful number, since it uses less digits than its factorization.

52493200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6944 (or 6933 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 52493200 is about 7245.2191133188. The cubic root of 52493200 is about 374.4274522082.

The spelling of 52493200 in words is "fifty-two million, four hundred ninety-three thousand, two hundred".