242602528 has 144 divisors (see below), whose sum is σ = 600566400. Its totient is φ = 96243840.

The previous prime is 242602457. The next prime is 242602531. The reversal of 242602528 is 825206242.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 242602528.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7825873 + ... + 7825903.

It is an arithmetic number, because the mean of its divisors is an integer number (4170600).

Almost surely, 2^242602528 is an apocalyptic number.

242602528 is a gapful number since it is divisible by the number (28) 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 242602528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300283200).

242602528 is an abundant number, since it is smaller than the sum of its proper divisors (357963872).

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

242602528 is an equidigital number, since it uses as much as digits as its factorization.

242602528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 242602528 is about 15575.7031301961. The cubic root of 242602528 is about 623.6847245826.

The spelling of 242602528 in words is "two hundred forty-two million, six hundred two thousand, five hundred twenty-eight".