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38668266 = 2347134361
BaseRepresentation
bin1001001110000…
…0011111101010
32200202112220000
42103200133222
534344341031
63500443430
7646450320
oct223403752
980675800
1038668266
111a91104a
1210b49576
13801b640
1451c7d10
1535dc3e6
hex24e07ea

38668266 has 160 divisors (see below), whose sum is σ = 110909568. Its totient is φ = 9797760.

The previous prime is 38668247. The next prime is 38668277. The reversal of 38668266 is 66286683.

38668266 = T876 + T877 + ... + T966.

38668266 is a `hidden beast` number, since 386 + 6 + 8 + 266 = 666.

38668266 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 79 ways as a sum of consecutive naturals, for example, 633876 + ... + 633936.

Almost surely, 238668266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38668266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55454784).

38668266 is an abundant number, since it is smaller than the sum of its proper divisors (72241302).

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

38668266 is a wasteful number, since it uses less digits than its factorization.

38668266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 129 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 38668266 is about 6218.3813006280. The cubic root of 38668266 is about 338.1568836265.

The spelling of 38668266 in words is "thirty-eight million, six hundred sixty-eight thousand, two hundred sixty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 43 54 61 63 78 81 86 91 117 122 126 129 162 182 183 189 234 258 273 301 351 366 378 387 427 546 549 559 567 602 702 774 793 819 854 903 1053 1098 1118 1134 1161 1281 1586 1638 1647 1677 1806 2106 2322 2379 2457 2562 2623 2709 3294 3354 3483 3843 3913 4758 4914 4941 5031 5246 5418 5551 6966 7137 7371 7686 7826 7869 8127 9882 10062 11102 11529 11739 14274 14742 15093 15738 16254 16653 18361 21411 23058 23478 23607 24381 30186 33306 34099 34587 35217 36722 42822 45279 47214 48762 49959 55083 64233 68198 69174 70434 70821 90558 99918 102297 105651 110166 128466 141642 149877 165249 204594 211302 212463 238693 299754 306891 316953 330498 424926 449631 477386 495747 613782 633906 716079 899262 920673 991494 1432158 1487241 1841346 2148237 2762019 2974482 4296474 5524038 6444711 12889422 19334133 38668266