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268908276 = 2237213127277
BaseRepresentation
bin10000000001110…
…011011011110100
3200201222221210210
4100001303123310
51022320031101
642403345420
76443453100
oct2001633364
9621887723
10268908276
1112887884a
1276082270
1343932c30
14279dc900
151891b7d6
hex100736f4

268908276 has 144 divisors (see below), whose sum is σ = 795088896. Its totient is φ = 70108416.

The previous prime is 268908223. The next prime is 268908287. The reversal of 268908276 is 672809862.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 970650 + ... + 970926.

Almost surely, 2268908276 is an apocalyptic number.

268908276 is a gapful number since it is divisible by the number (26) 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 268908276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397544448).

268908276 is an abundant number, since it is smaller than the sum of its proper divisors (526180620).

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

268908276 is a wasteful number, since it uses less digits than its factorization.

268908276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 268908276 is about 16398.4229729569. The cubic root of 268908276 is about 645.4581013408.

The spelling of 268908276 in words is "two hundred sixty-eight million, nine hundred eight thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 127 147 156 182 196 254 273 277 294 364 381 508 546 554 588 637 762 831 889 1092 1108 1274 1524 1651 1662 1778 1911 1939 2548 2667 3302 3324 3556 3601 3822 3878 4953 5334 5817 6223 6604 7202 7644 7756 9906 10668 10803 11557 11634 12446 13573 14404 18669 19812 21606 23114 23268 24892 25207 27146 34671 35179 37338 40719 43212 46228 50414 54292 69342 70358 74676 75621 80899 81438 100828 105537 138684 140716 151242 161798 162876 176449 211074 242697 246253 302484 323596 352898 422148 457327 485394 492506 529347 705796 738759 914654 970788 985012 1058694 1371981 1477518 1723771 1829308 2117388 2743962 2955036 3201289 3447542 5171313 5487924 6402578 6895084 9603867 10342626 12805156 19207734 20685252 22409023 38415468 44818046 67227069 89636092 134454138 268908276