9052842600 has 288 divisors, whose sum is σ = 32232907200. Its totient is φ = 2270592000.

The previous prime is 9052842583. The next prime is 9052842613. The reversal of 9052842600 is 62482509.

It is a happy number.

9052842600 is a `hidden beast` number, since 9 + 0 + 5 + 2 + 8 + 42 + 600 = 666.

9052842600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5163324 + ... + 5165076.

Almost surely, 2^9052842600 is an apocalyptic number.

9052842600 is a gapful number since it is divisible by the number (90) 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 9052842600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16116453600).

9052842600 is an abundant number, since it is smaller than the sum of its proper divisors (23180064600).

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

9052842600 is a wasteful number, since it uses less digits than its factorization.

9052842600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 9052842600 is about 95146.4271530991. The cubic root of 9052842600 is about 2084.1468828334.

The spelling of 9052842600 in words is "nine billion, fifty-two million, eight hundred forty-two thousand, six hundred".