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268838271 = 3413241479
BaseRepresentation
bin10000000001100…
…010010101111111
3200201212101210000
4100001202111333
51022310311041
642402045343
76443042022
oct2001422577
9621771700
10268838271
11128830199
1276049853
134390a100
14279c11b9
1518905bb6
hex1006257f

268838271 has 60 divisors (see below), whose sum is σ = 446402880. Its totient is φ = 161066880.

The previous prime is 268838267. The next prime is 268838281. The reversal of 268838271 is 172838862.

268838271 is a `hidden beast` number, since 268 + 8 + 382 + 7 + 1 = 666.

It is not a de Polignac number, because 268838271 - 22 = 268838267 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268838281) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 561010 + ... + 561488.

It is an arithmetic number, because the mean of its divisors is an integer number (7440048).

Almost surely, 2268838271 is an apocalyptic number.

268838271 is a deficient number, since it is larger than the sum of its proper divisors (177564609).

268838271 is a wasteful number, since it uses less digits than its factorization.

268838271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 536 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 268838271 is about 16396.2883299849. The cubic root of 268838271 is about 645.4020856903.

The spelling of 268838271 in words is "two hundred sixty-eight million, eight hundred thirty-eight thousand, two hundred seventy-one".

Divisors: 1 3 9 13 27 39 41 81 117 123 169 351 369 479 507 533 1053 1107 1437 1521 1599 3321 4311 4563 4797 6227 6929 12933 13689 14391 18681 19639 20787 38799 43173 56043 58917 62361 80951 168129 176751 187083 242853 255307 504387 530253 561249 728559 765921 1590759 2185677 2297763 3318991 6557031 6893289 9956973 20679867 29870919 89612757 268838271