115582050 has 72 divisors (see below), whose sum is σ = 313416324. Its totient is φ = 30535680.

The previous prime is 115582039. The next prime is 115582057. The reversal of 115582050 is 50285511.

It can be written as a sum of positive squares in 6 ways, for example, as 30702681 + 84879369 = 5541^2 + 9213^2 .

It is not an unprimeable number, because it can be changed into a prime (115582057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49714 + ... + 51986.

Almost surely, 2^115582050 is an apocalyptic number.

115582050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 115582050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156708162).

115582050 is an abundant number, since it is smaller than the sum of its proper divisors (197834274).

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

115582050 is a wasteful number, since it uses less digits than its factorization.

115582050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 115582050 is about 10750.9092638716. The cubic root of 115582050 is about 487.1134608522.

The spelling of 115582050 in words is "one hundred fifteen million, five hundred eighty-two thousand, fifty".