Search a number
-
+
242797568 = 2101322361
BaseRepresentation
bin11100111100011…
…00110000000000
3121220212101122112
432132030300000
5444124010233
640031554452
76005513426
oct1636146000
9556771575
10242797568
11115064452
126938ba28
133b3c0300
1424363116
15164b0048
hexe78cc00

242797568 has 132 divisors (see below), whose sum is σ = 557406288. Its totient is φ = 105431040.

The previous prime is 242797427. The next prime is 242797603. The reversal of 242797568 is 865797242.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3980258 + ... + 3980318.

Almost surely, 2242797568 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 242797568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278703144).

242797568 is an abundant number, since it is smaller than the sum of its proper divisors (314608720).

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

242797568 is a wasteful number, since it uses less digits than its factorization.

242797568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 99 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 50.

The square root of 242797568 is about 15581.9629058729. The cubic root of 242797568 is about 623.8518166651.

The spelling of 242797568 in words is "two hundred forty-two million, seven hundred ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 61 64 92 104 122 128 169 184 208 244 256 299 338 368 416 488 512 598 676 736 793 832 976 1024 1196 1352 1403 1472 1586 1664 1952 2392 2704 2806 2944 3172 3328 3887 3904 4784 5408 5612 5888 6344 6656 7774 7808 9568 10309 10816 11224 11776 12688 13312 15548 15616 18239 19136 20618 21632 22448 23552 25376 31096 31232 36478 38272 41236 43264 44896 50752 62192 62464 72956 76544 82472 86528 89792 101504 124384 145912 153088 164944 173056 179584 203008 237107 248768 291824 306176 329888 359168 406016 474214 497536 583648 659776 718336 812032 948428 995072 1167296 1319552 1436672 1896856 1990144 2334592 2639104 3793712 3980288 4669184 5278208 7587424 9338368 10556416 15174848 18676736 30349696 60699392 121398784 242797568