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38885868 = 223271729313
BaseRepresentation
bin1001010001010…
…1100111101100
32201011121101100
42110111213230
534423321433
63505243100
7651344610
oct224254754
981147340
1038885868
111aa4a58a
1211033490
1380966b8
145243340
153631b13
hex25159ec

38885868 has 144 divisors (see below), whose sum is σ = 123439680. Its totient is φ = 10063872.

The previous prime is 38885867. The next prime is 38885887. The reversal of 38885868 is 86858883.

38885868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×388858682 = 3024221460226848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38885863) 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 47 ways as a sum of consecutive naturals, for example, 124080 + ... + 124392.

It is an arithmetic number, because the mean of its divisors is an integer number (857220).

Almost surely, 238885868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38885868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61719840).

38885868 is an abundant number, since it is smaller than the sum of its proper divisors (84553812).

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

38885868 is a wasteful number, since it uses less digits than its factorization.

38885868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 371 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The square root of 38885868 is about 6235.8534299645. The cubic root of 38885868 is about 338.7900127479.

The spelling of 38885868 in words is "thirty-eight million, eight hundred eighty-five thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 29 34 36 42 51 58 63 68 84 87 102 116 119 126 153 174 203 204 238 252 261 306 313 348 357 406 476 493 522 609 612 626 714 812 939 986 1044 1071 1218 1252 1428 1479 1827 1878 1972 2142 2191 2436 2817 2958 3451 3654 3756 4284 4382 4437 5321 5634 5916 6573 6902 7308 8764 8874 9077 10353 10642 11268 13146 13804 15963 17748 18154 19719 20706 21284 26292 27231 31059 31926 36308 37247 39438 41412 47889 54462 62118 63539 63852 74494 78876 81693 95778 108924 111741 124236 127078 148988 154309 163386 190617 191556 223482 254156 308618 326772 335223 381234 446964 462927 571851 617236 670446 762468 925854 1080163 1143702 1340892 1388781 1851708 2160326 2287404 2777562 3240489 4320652 5555124 6480978 9721467 12961956 19442934 38885868