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268933041 = 34131272011
BaseRepresentation
bin10000000001111…
…001011110110001
3200202001012210000
4100001321132301
51022321324131
642404100213
76443615226
oct2001713661
9622035700
10268933041
11128895413
1276094669
13439412a0
1427a0794d
1518923ce6
hex100797b1

268933041 has 40 divisors (see below), whose sum is σ = 436265984. Its totient is φ = 164112480.

The previous prime is 268933039. The next prime is 268933061. The reversal of 268933041 is 140339862.

268933041 is a `hidden beast` number, since 268 + 93 + 304 + 1 = 666.

It is not a de Polignac number, because 268933041 - 21 = 268933039 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 268932987 and 268933005.

It is not an unprimeable number, because it can be changed into a prime (268933061) 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 39 ways as a sum of consecutive naturals, for example, 132726 + ... + 134736.

Almost surely, 2268933041 is an apocalyptic number.

It is an amenable number.

268933041 is a deficient number, since it is larger than the sum of its proper divisors (167332943).

268933041 is a wasteful number, since it uses less digits than its factorization.

268933041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 268933041 is about 16399.1780586711. The cubic root of 268933041 is about 645.4779151343.

The spelling of 268933041 in words is "two hundred sixty-eight million, nine hundred thirty-three thousand, forty-one".

Divisors: 1 3 9 13 27 39 81 117 127 351 381 1053 1143 1651 2011 3429 4953 6033 10287 14859 18099 26143 44577 54297 78429 133731 162891 235287 255397 705861 766191 2117583 2298573 3320161 6895719 9960483 20687157 29881449 89644347 268933041