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38008107 = 3217417383
BaseRepresentation
bin1001000011111…
…1010100101011
32122112000022200
42100333110223
534212224412
63434351243
7641030544
oct220772453
978460280
1038008107
111a500065
121088b523
137b4a007
1450954cb
15350b9dc
hex243f52b

38008107 has 48 divisors (see below), whose sum is σ = 61090848. Its totient is φ = 22671360.

The previous prime is 38008099. The next prime is 38008111. The reversal of 38008107 is 70180083.

It is not a de Polignac number, because 38008107 - 23 = 38008099 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38008147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 457888 + ... + 457970.

It is an arithmetic number, because the mean of its divisors is an integer number (1272726).

Almost surely, 238008107 is an apocalyptic number.

38008107 is a deficient number, since it is larger than the sum of its proper divisors (23082741).

38008107 is a wasteful number, since it uses less digits than its factorization.

38008107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 38008107 is about 6165.0715324317. The cubic root of 38008107 is about 336.2214473436.

The spelling of 38008107 in words is "thirty-eight million, eight thousand, one hundred seven".

Divisors: 1 3 9 17 41 51 73 83 123 153 219 249 369 657 697 747 1241 1411 2091 2993 3403 3723 4233 6059 6273 8979 10209 11169 12699 18177 26937 30627 50881 54531 57851 103003 152643 173553 248419 309009 457929 520659 745257 927027 2235771 4223123 12669369 38008107