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242766468 = 2232747103199
BaseRepresentation
bin11100111100001…
…01001010000100
3121220210210222200
432132011022010
5444122011333
640031154500
76005323650
oct1636051204
9556723880
10242766468
1111504304a
1269375a30
133b3ac0c9
1424355a60
15164a5c13
hexe785284

242766468 has 144 divisors (see below), whose sum is σ = 726835200. Its totient is φ = 66889152.

The previous prime is 242766413. The next prime is 242766479. The reversal of 242766468 is 864667242.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1219833 + ... + 1220031.

Almost surely, 2242766468 is an apocalyptic number.

242766468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242766468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363417600).

242766468 is an abundant number, since it is smaller than the sum of its proper divisors (484068732).

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

242766468 is a wasteful number, since it uses less digits than its factorization.

242766468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 361 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 242766468 is about 15580.9649251900. The cubic root of 242766468 is about 623.8251790836.

The spelling of 242766468 in words is "two hundred forty-two million, seven hundred sixty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 103 126 141 188 199 206 252 282 309 329 398 412 423 564 597 618 658 721 796 846 927 987 1194 1236 1316 1393 1442 1692 1791 1854 1974 2163 2388 2786 2884 2961 3582 3708 3948 4179 4326 4841 5572 5922 6489 7164 8358 8652 9353 9682 11844 12537 12978 14523 16716 18706 19364 20497 25074 25956 28059 29046 33887 37412 40994 43569 50148 56118 58092 61491 65471 67774 81988 84177 87138 101661 112236 122982 130942 135548 143479 168354 174276 184473 196413 203322 245964 261884 286958 304983 336708 368946 392826 406644 430437 573916 589239 609966 737892 785652 860874 963359 1178478 1219932 1291311 1721748 1926718 2356956 2582622 2890077 3853436 5165244 5780154 6743513 8670231 11560308 13487026 17340462 20230539 26974052 34680924 40461078 60691617 80922156 121383234 242766468