52115400 has 120 divisors (see below), whose sum is σ = 181060770. Its totient is φ = 13893120.

The previous prime is 52115383. The next prime is 52115417. The reversal of 52115400 is 451125.

It is an interprime number because it is at equal distance from previous prime (52115383) and next prime (52115417).

It can be written as a sum of positive squares in 3 ways, for example, as 47527236 + 4588164 = 6894^2 + 2142^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14592 + ... + 17808.

Almost surely, 2^52115400 is an apocalyptic number.

52115400 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 52115400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90530385).

52115400 is an abundant number, since it is smaller than the sum of its proper divisors (128945370).

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

52115400 is a wasteful number, since it uses less digits than its factorization.

52115400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3245 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 52115400 is about 7219.0996668560. The cubic root of 52115400 is about 373.5270218027.

Adding to 52115400 its reverse (451125), we get a palindrome (52566525).

The spelling of 52115400 in words is "fifty-two million, one hundred fifteen thousand, four hundred".