242537652 has 90 divisors (see below), whose sum is σ = 737606562. Its totient is φ = 69291936.

The previous prime is 242537629. The next prime is 242537681. The reversal of 242537652 is 256735242.

It can be written as a sum of positive squares in only one way, i.e., 155600676 + 86936976 = 12474^2 + 9324^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8238 + ... + 23514.

Almost surely, 2^242537652 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 242537652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368803281).

242537652 is an abundant number, since it is smaller than the sum of its proper divisors (495068910).

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

242537652 is a wasteful number, since it uses less digits than its factorization.

242537652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15307 (or 15289 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 242537652 is about 15573.6203883362. The cubic root of 242537652 is about 623.6291250280.

The spelling of 242537652 in words is "two hundred forty-two million, five hundred thirty-seven thousand, six hundred fifty-two".