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242576268 = 22311193112
BaseRepresentation
bin11100111010101…
…10101110001100
3121220110011002020
432131112232030
5444044420033
640023130140
76003602304
oct1635265614
9556404066
10242576268
11114a23160
12692a3950
133b34366c
1424306604
15164696b3
hexe756b8c

242576268 has 72 divisors (see below), whose sum is σ = 652061760. Its totient is φ = 69415200.

The previous prime is 242576263. The next prime is 242576273. The reversal of 242576268 is 862675242.

It is an interprime number because it is at equal distance from previous prime (242576263) and next prime (242576273).

It is not an unprimeable number, because it can be changed into a prime (242576261) 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, 779833 + ... + 780143.

Almost surely, 2242576268 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 242576268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326030880).

242576268 is an abundant number, since it is smaller than the sum of its proper divisors (409485492).

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

242576268 is a wasteful number, since it uses less digits than its factorization.

242576268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 346 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 242576268 is about 15574.8601277828. The cubic root of 242576268 is about 623.6622206238.

The spelling of 242576268 in words is "two hundred forty-two million, five hundred seventy-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 311 418 622 627 836 933 1244 1254 1866 2508 3421 3732 5909 6842 10263 11818 13684 17727 20526 23636 35454 41052 64999 70908 96721 129998 193442 194997 259996 290163 386884 389994 580326 779988 1063931 1160652 1837699 2127862 3191793 3675398 4255724 5513097 6383586 7350796 11026194 12767172 20214689 22052388 40429378 60644067 80858756 121288134 242576268