242048 has 32 divisors (see below), whose sum is σ = 505920. Its totient is φ = 115200.

The previous prime is 242009. The next prime is 242057. The reversal of 242048 is 840242.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

242048 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3938 + ... + 3998.

It is an arithmetic number, because the mean of its divisors is an integer number (15810).

2²⁴²⁰⁴⁸ 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 242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252960).

242048 is an abundant number, since it is smaller than the sum of its proper divisors (263872).

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

242048 is an equidigital number, since it uses as much as digits as its factorization.

242048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 242048 is about 491.9837395687. The cubic root of 242048 is about 62.3209166901.

The spelling of 242048 in words is "two hundred forty-two thousand, forty-eight".