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268725768 = 23379271523
BaseRepresentation
bin10000000001000…
…110111000001000
3200201122200110020
4100001012320020
51022243211033
642355420440
76442063023
oct2001067010
9621580406
10268725768
11128763713
1275bb4720
134389ab3c
14279921ba
15188d26b3
hex10046e08

268725768 has 64 divisors (see below), whose sum is σ = 684134400. Its totient is φ = 87946560.

The previous prime is 268725761. The next prime is 268725823. The reversal of 268725768 is 867527862.

It is a happy number.

Its product of digits (2257920) is a multiple of the sum of its prime factors (882).

It is a self number, because there is not a number n which added to its sum of digits gives 268725768.

It is not an unprimeable number, because it can be changed into a prime (268725761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513555 + ... + 514077.

It is an arithmetic number, because the mean of its divisors is an integer number (10689600).

Almost surely, 2268725768 is an apocalyptic number.

It is an amenable number.

268725768 is an abundant number, since it is smaller than the sum of its proper divisors (415408632).

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

268725768 is a wasteful number, since it uses less digits than its factorization.

268725768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 878 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The square root of 268725768 is about 16392.8572250233. The cubic root of 268725768 is about 645.3120441925.

It can be divided in two parts, 26872 and 5768, that added together give a triangular number (32640 = T255).

The spelling of 268725768 in words is "two hundred sixty-eight million, seven hundred twenty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 79 158 237 271 316 474 523 542 632 813 948 1046 1084 1569 1626 1896 2092 2168 3138 3252 4184 6276 6504 12552 21409 41317 42818 64227 82634 85636 123951 128454 141733 165268 171272 247902 256908 283466 330536 425199 495804 513816 566932 850398 991608 1133864 1700796 3401592 11196907 22393814 33590721 44787628 67181442 89575256 134362884 268725768