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242642244 = 223131579907
BaseRepresentation
bin11100111011001…
…10110101000100
3121220120111120210
432131212311010
5444104022434
640024355420
76004265535
oct1635466504
9556514523
10242642244
11114a68789
1269315b70
133b3676c0
142432268c
151647dee9
hexe766d44

242642244 has 48 divisors (see below), whose sum is σ = 613661888. Its totient is φ = 74176128.

The previous prime is 242642209. The next prime is 242642297. The reversal of 242642244 is 442246242.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19539 + ... + 29445.

Almost surely, 2242642244 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 242642244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306830944).

242642244 is an abundant number, since it is smaller than the sum of its proper divisors (371019644).

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

242642244 is a wasteful number, since it uses less digits than its factorization.

242642244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10084 (or 10082 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

The square root of 242642244 is about 15576.9780124387. The cubic root of 242642244 is about 623.7187568069.

Adding to 242642244 its reverse (442246242), we get a palindrome (684888486).

The spelling of 242642244 in words is "two hundred forty-two million, six hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 157 314 471 628 942 1884 2041 4082 6123 8164 9907 12246 19814 24492 29721 39628 59442 118884 128791 257582 386373 515164 772746 1545492 1555399 3110798 4666197 6221596 9332394 18664788 20220187 40440374 60660561 80880748 121321122 242642244