52102400 has 108 divisors (see below), whose sum is σ = 147511392. Its totient is φ = 17848320.

The previous prime is 52102387. The next prime is 52102423. The reversal of 52102400 is 420125.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 44219 + ... + 45381.

Almost surely, 2^52102400 is an apocalyptic number.

52102400 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 52102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73755696).

52102400 is an abundant number, since it is smaller than the sum of its proper divisors (95408992).

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

52102400 is a wasteful number, since it uses less digits than its factorization.

52102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 52102400 is about 7218.1992214125. The cubic root of 52102400 is about 373.4959608936.

Adding to 52102400 its reverse (420125), we get a palindrome (52522525).

The spelling of 52102400 in words is "fifty-two million, one hundred two thousand, four hundred".