242913632 has 96 divisors (see below), whose sum is σ = 550861920. Its totient is φ = 104509440.

The previous prime is 242913611. The next prime is 242913641. The reversal of 242913632 is 236319242.

It is a super-2 number, since 2×242913632² = 118014065222862848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 576782 + ... + 577202.

It is an arithmetic number, because the mean of its divisors is an integer number (5738145).

Almost surely, 2^242913632 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 242913632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275430960).

242913632 is an abundant number, since it is smaller than the sum of its proper divisors (307948288).

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

242913632 is a wasteful number, since it uses less digits than its factorization.

242913632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 528 counting only the distinct ones).

The product of its digits is 15552, while the sum is 32.

The square root of 242913632 is about 15585.6867670308. The cubic root of 242913632 is about 623.9512070110.

It can be divided in two parts, 2429 and 13632, that added together give a palindrome (16061).

The spelling of 242913632 in words is "two hundred forty-two million, nine hundred thirteen thousand, six hundred thirty-two".