242890752 has 96 divisors (see below), whose sum is σ = 697591440. Its totient is φ = 74711040.

The previous prime is 242890733. The next prime is 242890777. The reversal of 242890752 is 257098242.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 242890752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78352 + ... + 81392.

Almost surely, 2^242890752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242890752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348795720).

242890752 is an abundant number, since it is smaller than the sum of its proper divisors (454700688).

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

242890752 is a wasteful number, since it uses less digits than its factorization.

242890752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 242890752 is about 15584.9527429505. The cubic root of 242890752 is about 623.9316164378.

The spelling of 242890752 in words is "two hundred forty-two million, eight hundred ninety thousand, seven hundred fifty-two".