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242026512 = 24371367827
BaseRepresentation
bin11100110110100…
…00100000010000
3121212102012221220
432123100200100
5443424322022
640003245040
75666122440
oct1633204020
9555365856
10242026512
11114688112
1269079780
133b1b0370
1424202120
15163ab85c
hexe6d0810

242026512 has 160 divisors (see below), whose sum is σ = 781949952. Its totient is φ = 62802432.

The previous prime is 242026483. The next prime is 242026523. The reversal of 242026512 is 215620242.

It is a happy number.

It is a super-2 number, since 2×2420265122 = 117153665021772288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292243 + ... + 293069.

Almost surely, 2242026512 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 242026512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390974976).

242026512 is an abundant number, since it is smaller than the sum of its proper divisors (539923440).

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

242026512 is a wasteful number, since it uses less digits than its factorization.

242026512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 242026512 is about 15557.2012907206. The cubic root of 242026512 is about 623.1907243955.

Adding to 242026512 its reverse (215620242), we get a palindrome (457646754).

The spelling of 242026512 in words is "two hundred forty-two million, twenty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 67 78 84 91 104 112 134 156 168 182 201 208 268 273 312 336 364 402 469 536 546 624 728 804 827 871 938 1072 1092 1407 1456 1608 1654 1742 1876 2184 2481 2613 2814 3216 3308 3484 3752 4368 4962 5226 5628 5789 6097 6616 6968 7504 9924 10452 10751 11256 11578 12194 13232 13936 17367 18291 19848 20904 21502 22512 23156 24388 32253 34734 36582 39696 41808 43004 46312 48776 55409 64506 69468 73164 75257 86008 92624 97552 110818 129012 138936 146328 150514 166227 172016 221636 225771 258024 277872 292656 301028 332454 387863 443272 451542 516048 602056 664908 720317 775726 886544 903084 1163589 1204112 1329816 1440634 1551452 1806168 2160951 2327178 2659632 2881268 3102904 3612336 4321902 4654356 5042219 5762536 6205808 8643804 9308712 10084438 11525072 15126657 17287608 18617424 20168876 30253314 34575216 40337752 60506628 80675504 121013256 242026512