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38333925 = 3352721961
BaseRepresentation
bin1001001000111…
…0110111100101
32200010120021000
42102032313211
534303141200
63445343513
7643555500
oct222166745
980116230
1038333925
111a702933
1210a07b99
137c323c6
14513c137
153573300
hex248ede5

38333925 has 144 divisors (see below), whose sum is σ = 87643200. Its totient is φ = 16329600.

The previous prime is 38333921. The next prime is 38333947. The reversal of 38333925 is 52933383.

It is not a de Polignac number, because 38333925 - 22 = 38333921 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 38333925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38333921) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 628395 + ... + 628455.

Almost surely, 238333925 is an apocalyptic number.

38333925 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38333925 is an abundant number, since it is smaller than the sum of its proper divisors (49309275).

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

38333925 is a wasteful number, since it uses less digits than its factorization.

38333925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 95 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 38333925 is about 6191.4396548783. The cubic root of 38333925 is about 337.1794487291.

The spelling of 38333925 in words is "thirty-eight million, three hundred thirty-three thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 27 35 45 49 57 61 63 75 95 105 133 135 147 171 175 183 189 225 245 285 305 315 399 427 441 475 513 525 549 665 675 735 855 915 931 945 1159 1197 1225 1281 1323 1425 1525 1575 1647 1995 2135 2205 2565 2745 2793 2989 3325 3477 3591 3675 3843 4275 4575 4655 4725 5795 5985 6405 6615 8113 8235 8379 8967 9975 10431 10675 11025 11529 12825 13725 13965 14945 17385 17955 19215 23275 24339 25137 26901 28975 29925 31293 32025 33075 40565 41175 41895 44835 52155 56791 57645 69825 73017 74725 80703 86925 89775 96075 121695 125685 134505 156465 170373 202825 209475 219051 224175 260775 283955 288225 365085 403515 511119 608475 628425 672525 782325 851865 1095255 1419775 1533357 1825425 2017575 2555595 4259325 5476275 7666785 12777975 38333925