242121528 has 128 divisors (see below), whose sum is σ = 739065600. Its totient is φ = 72835200.

The previous prime is 242121511. The next prime is 242121547. The reversal of 242121528 is 825121242.

242121528 is a `hidden beast` number, since 2 + 421 + 215 + 28 = 666.

242121528 is digitally balanced in base 3, 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 (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 429775 + ... + 430337.

It is an arithmetic number, because the mean of its divisors is an integer number (5773950).

Almost surely, 2^242121528 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 242121528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369532800).

242121528 is an abundant number, since it is smaller than the sum of its proper divisors (496944072).

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

242121528 is a wasteful number, since it uses less digits than its factorization.

242121528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 760 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 242121528 is about 15560.2547536986. The cubic root of 242121528 is about 623.2722655214.

The spelling of 242121528 in words is "two hundred forty-two million, one hundred twenty-one thousand, five hundred twenty-eight".