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38026989 = 3472111367
BaseRepresentation
bin1001000100001…
…1111011101101
32122112222020000
42101003323231
534213330424
63435014513
7641136600
oct221037355
978488200
1038026989
111a513270
121089a439
137b557a0
14509c337
1535123c9
hex2443eed

38026989 has 120 divisors (see below), whose sum is σ = 78791328. Its totient is φ = 17962560.

The previous prime is 38026969. The next prime is 38026997. The reversal of 38026989 is 98962083.

38026989 is a `hidden beast` number, since 380 + 269 + 8 + 9 = 666.

It is not a de Polignac number, because 38026989 - 220 = 36978413 is a prime.

It is a super-2 number, since 2×380269892 = 2892103784812242, which contains 22 as substring.

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 (38026969) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 567534 + ... + 567600.

Almost surely, 238026989 is an apocalyptic number.

38026989 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

38026989 is an abundant number, since it is smaller than the sum of its proper divisors (40764339).

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

38026989 is a wasteful number, since it uses less digits than its factorization.

38026989 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 38026989 is about 6166.6027113801. The cubic root of 38026989 is about 336.2771151372.

The spelling of 38026989 in words is "thirty-eight million, twenty-six thousand, nine hundred eighty-nine".

Divisors: 1 3 7 9 11 13 21 27 33 39 49 63 67 77 81 91 99 117 143 147 189 201 231 273 297 351 429 441 469 539 567 603 637 693 737 819 871 891 1001 1053 1287 1323 1407 1617 1809 1911 2079 2211 2457 2613 3003 3283 3861 3969 4221 4851 5159 5427 5733 6097 6237 6633 7007 7371 7839 9009 9581 9849 11583 12663 14553 15477 17199 18291 19899 21021 23517 27027 28743 29547 36113 37989 42679 43659 46431 51597 54873 59697 63063 67067 70551 81081 86229 88641 108339 128037 139293 164619 189189 201201 258687 265923 325017 384111 417879 469469 493857 567567 603603 776061 975051 1152333 1408407 1810809 2925153 3456999 4225221 5432427 12675663 38026989