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242102656 = 2761101307
BaseRepresentation
bin11100110111000…
…11000110000000
3121212120002102001
432123203012000
5443434241111
640005033344
75666560435
oct1633430600
9555502361
10242102656
1111472a344
12690b5854
133b208c13
1424221b8c
15163c41c1
hexe6e3180

242102656 has 64 divisors (see below), whose sum is σ = 496686960. Its totient is φ = 117504000.

The previous prime is 242102639. The next prime is 242102659. The reversal of 242102656 is 656201242.

242102656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2421026562 = 117227392084508672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242102659) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 788455 + ... + 788761.

Almost surely, 2242102656 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 242102656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248343480).

242102656 is an abundant number, since it is smaller than the sum of its proper divisors (254584304).

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

242102656 is a wasteful number, since it uses less digits than its factorization.

242102656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 242102656 is about 15559.6483250747. The cubic root of 242102656 is about 623.2560715878.

Adding to 242102656 its reverse (656201242), we get a palindrome (898303898).

The spelling of 242102656 in words is "two hundred forty-two million, one hundred two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 61 64 101 122 128 202 244 307 404 488 614 808 976 1228 1616 1952 2456 3232 3904 4912 6161 6464 7808 9824 12322 12928 18727 19648 24644 31007 37454 39296 49288 62014 74908 98576 124028 149816 197152 248056 299632 394304 496112 599264 788608 992224 1198528 1891427 1984448 2397056 3782854 3968896 7565708 15131416 30262832 60525664 121051328 242102656