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38361375 = 3253134361
BaseRepresentation
bin1001001001010…
…1100100011111
32200011221220200
42102111210133
534310031000
63450114543
7644031513
oct222254437
980157820
1038361375
111a721518
1210a1ba53
137c41a50
145148143
15357b500
hex249591f

38361375 has 96 divisors (see below), whose sum is σ = 77453376. Its totient is φ = 18144000.

The previous prime is 38361343. The next prime is 38361377. The reversal of 38361375 is 57316383.

38361375 is a `hidden beast` number, since 38 + 3 + 613 + 7 + 5 = 666.

38361375 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38361375 - 25 = 38361343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38361377) 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 95 ways as a sum of consecutive naturals, for example, 628845 + ... + 628905.

It is an arithmetic number, because the mean of its divisors is an integer number (806806).

Almost surely, 238361375 is an apocalyptic number.

38361375 is an abundant number, since it is smaller than the sum of its proper divisors (39092001).

38361375 is a wasteful number, since it uses less digits than its factorization.

38361375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 38361375 is about 6193.6560285505. The cubic root of 38361375 is about 337.2599115525.

The spelling of 38361375 in words is "thirty-eight million, three hundred sixty-one thousand, three hundred seventy-five".

Divisors: 1 3 5 9 13 15 25 39 43 45 61 65 75 117 125 129 183 195 215 225 305 325 375 387 549 559 585 645 793 915 975 1075 1125 1525 1625 1677 1935 2379 2623 2745 2795 2925 3225 3965 4575 4875 5031 5375 7137 7625 7869 8385 9675 11895 13115 13725 13975 14625 16125 19825 22875 23607 25155 34099 35685 39345 41925 48375 59475 65575 68625 69875 99125 102297 118035 125775 170495 178425 196725 209625 297375 306891 327875 511485 590175 628875 852475 892125 983625 1534455 2557425 2950875 4262375 7672275 12787125 38361375