8242824100 has 81 divisors (see below), whose sum is σ = 20823298083. Its totient is φ = 2823932160.

The previous prime is 8242824047. The next prime is 8242824101. The reversal of 8242824100 is 14282428.

The square root of 8242824100 is 90790.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2535928164 + 5706895936 = 50358^2 + 75544^2 .

It is not an unprimeable number, because it can be changed into a prime (8242824101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6354652 + ... + 6355948.

Almost surely, 2^8242824100 is an apocalyptic number.

8242824100 is the 90790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8242824100

8242824100 is an abundant number, since it is smaller than the sum of its proper divisors (12580473983).

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

8242824100 is a wasteful number, since it uses less digits than its factorization.

8242824100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The cubic root of 8242824100 is about 2020.0339911935.

The spelling of 8242824100 in words is "eight billion, two hundred forty-two million, eight hundred twenty-four thousand, one hundred".