242149248 has 192 divisors, whose sum is σ = 771891120. Its totient is φ = 72253440.

The previous prime is 242149247. The next prime is 242149261. The reversal of 242149248 is 842941242.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242149247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1229086 + ... + 1229282.

Almost surely, 2^242149248 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 242149248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385945560).

242149248 is an abundant number, since it is smaller than the sum of its proper divisors (529741872).

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

242149248 is a wasteful number, since it uses less digits than its factorization.

242149248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 310 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 242149248 is about 15561.1454591235. The cubic root of 242149248 is about 623.2960503373.

The spelling of 242149248 in words is "two hundred forty-two million, one hundred forty-nine thousand, two hundred forty-eight".