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268655136 = 25319147289
BaseRepresentation
bin10000000000110…
…101101000100000
3200201112002120020
4100000311220200
51022233431021
642354113440
76441350061
oct2000655040
9621462506
10268655136
11128715642
1275b7b880
1343874949
1427974568
15188bb7c6
hex10035a20

268655136 has 48 divisors (see below), whose sum is σ = 742341600. Its totient is φ = 84837888.

The previous prime is 268655119. The next prime is 268655141. The reversal of 268655136 is 631556862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71821 + ... + 75468.

It is an arithmetic number, because the mean of its divisors is an integer number (15465450).

Almost surely, 2268655136 is an apocalyptic number.

It is an amenable number.

268655136 is an abundant number, since it is smaller than the sum of its proper divisors (473686464).

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

268655136 is a wasteful number, since it uses less digits than its factorization.

268655136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147321 (or 147313 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 268655136 is about 16390.7027305116. The cubic root of 268655136 is about 645.2555012037.

The spelling of 268655136 in words is "two hundred sixty-eight million, six hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 147289 294578 441867 589156 883734 1178312 1767468 2356624 2798491 3534936 4713248 5596982 7069872 8395473 11193964 14139744 16790946 22387928 33581892 44775856 67163784 89551712 134327568 268655136