242635752 has 24 divisors (see below), whose sum is σ = 657138690. Its totient is φ = 80878560.

The previous prime is 242635741. The next prime is 242635793. The reversal of 242635752 is 257536242.

242635752 is a `hidden beast` number, since 24 + 2 + 63 + 575 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 221235876 + 21399876 = 14874^2 + 4626^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-4 number, since 4×242635752⁴ (a number of 35 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1684899 + ... + 1685042.

Almost surely, 2^242635752 is an apocalyptic number.

It is an amenable number.

242635752 is an abundant number, since it is smaller than the sum of its proper divisors (414502938).

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

242635752 is a wasteful number, since it uses less digits than its factorization.

242635752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369953 (or 3369946 counting only the distinct ones).

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

The square root of 242635752 is about 15576.7696265946. The cubic root of 242635752 is about 623.7131941340.

The spelling of 242635752 in words is "two hundred forty-two million, six hundred thirty-five thousand, seven hundred fifty-two".