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242669616 = 24375313627
BaseRepresentation
bin11100111011011…
…01100000110000
3121220121220010120
432131231200300
5444110411431
640025130240
76004441410
oct1635554060
9556556116
10242669616
11114a87302
1269329980
133b376cb7
142432c640
1516487196
hexe76d830

242669616 has 80 divisors (see below), whose sum is σ = 730024704. Its totient is φ = 68020992.

The previous prime is 242669599. The next prime is 242669627. The reversal of 242669616 is 616966242.

242669616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10995 + ... + 24621.

Almost surely, 2242669616 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 242669616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365012352).

242669616 is an abundant number, since it is smaller than the sum of its proper divisors (487355088).

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

242669616 is a wasteful number, since it uses less digits than its factorization.

242669616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13698 (or 13692 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 242669616 is about 15577.8565919705. The cubic root of 242669616 is about 623.7422094253.

The spelling of 242669616 in words is "two hundred forty-two million, six hundred sixty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 424 636 742 848 1113 1272 1484 2226 2544 2968 4452 5936 8904 13627 17808 27254 40881 54508 81762 95389 109016 163524 190778 218032 286167 327048 381556 572334 654096 722231 763112 1144668 1444462 1526224 2166693 2289336 2888924 4333386 4578672 5055617 5777848 8666772 10111234 11555696 15166851 17333544 20222468 30333702 34667088 40444936 60667404 80889872 121334808 242669616