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242601656 = 2311972293
BaseRepresentation
bin11100111010111…
…00111010111000
3121220111102220112
432131130322320
5444101223111
640023443452
76004036313
oct1635347270
9556442815
10242601656
11114a40240
12692b6588
133b35209b
142431197a
1516471e8b
hexe75ceb8

242601656 has 48 divisors (see below), whose sum is σ = 503110440. Its totient is φ = 108764160.

The previous prime is 242601647. The next prime is 242601683. The reversal of 242601656 is 656106242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 827846 + ... + 828138.

Almost surely, 2242601656 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 242601656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251555220).

242601656 is an abundant number, since it is smaller than the sum of its proper divisors (260508784).

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

242601656 is a wasteful number, since it uses less digits than its factorization.

242601656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 242601656 is about 15575.6751378552. The cubic root of 242601656 is about 623.6839773332.

Adding to 242601656 its reverse (656106242), we get a palindrome (898707898).

The spelling of 242601656 in words is "two hundred forty-two million, six hundred one thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 22 44 88 97 194 293 388 586 776 1067 1172 2134 2344 3223 4268 6446 8536 9409 12892 18818 25784 28421 37636 56842 75272 103499 113684 206998 227368 312631 413996 625262 827992 1250524 2501048 2756837 5513674 11027348 22054696 30325207 60650414 121300828 242601656