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242297856 = 2103261431
BaseRepresentation
bin11100111000100…
…10110000000000
3121212221000011200
432130102300000
5444012012411
640013141200
76001332513
oct1634226000
9555830150
10242297856
11114852a69
126918a800
133b276a18
1424272d7a
1516411e56
hexe712c00

242297856 has 132 divisors (see below), whose sum is σ = 712749024. Its totient is φ = 79257600.

The previous prime is 242297827. The next prime is 242297857. The reversal of 242297856 is 658792242.

242297856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242297857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561961 + ... + 562391.

Almost surely, 2242297856 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 242297856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356374512).

242297856 is an abundant number, since it is smaller than the sum of its proper divisors (470451168).

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

242297856 is a wasteful number, since it uses less digits than its factorization.

242297856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 497 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 242297856 is about 15565.9196965679. The cubic root of 242297856 is about 623.4235307213.

The spelling of 242297856 in words is "two hundred forty-two million, two hundred ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 256 288 366 384 431 488 512 549 576 732 768 862 976 1024 1098 1152 1293 1464 1536 1724 1952 2196 2304 2586 2928 3072 3448 3879 3904 4392 4608 5172 5856 6896 7758 7808 8784 9216 10344 11712 13792 15516 15616 17568 20688 23424 26291 27584 31032 31232 35136 41376 46848 52582 55168 62064 62464 70272 78873 82752 93696 105164 110336 124128 140544 157746 165504 187392 210328 220672 236619 248256 281088 315492 331008 420656 441344 473238 496512 562176 630984 662016 841312 946476 993024 1261968 1324032 1682624 1892952 1986048 2523936 3365248 3785904 3972096 5047872 6730496 7571808 10095744 13460992 15143616 20191488 26921984 30287232 40382976 60574464 80765952 121148928 242297856