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38117313 = 32131033163
BaseRepresentation
bin1001000101100…
…1111111000001
32122201120010100
42101121333001
534224223223
63440553013
7641664123
oct221317701
978646110
1038117313
111a575113
1210922769
137b87930
1450c3213
15352e043
hex2459fc1

38117313 has 24 divisors (see below), whose sum is σ = 59888192. Its totient is φ = 23221728.

The previous prime is 38117311. The next prime is 38117323. The reversal of 38117313 is 31371183.

38117313 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 38117313 - 21 = 38117311 is a prime.

It is a Smith number, since the sum of its digits (27) 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 (38117311) 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 23 ways as a sum of consecutive naturals, for example, 10470 + ... + 13632.

Almost surely, 238117313 is an apocalyptic number.

It is an amenable number.

38117313 is a deficient number, since it is larger than the sum of its proper divisors (21770879).

38117313 is a wasteful number, since it uses less digits than its factorization.

38117313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285 (or 3282 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 38117313 is about 6173.9220111692. The cubic root of 38117313 is about 336.5431531801.

Adding to 38117313 its reverse (31371183), we get a palindrome (69488496).

The spelling of 38117313 in words is "thirty-eight million, one hundred seventeen thousand, three hundred thirteen".

Divisors: 1 3 9 13 39 103 117 309 927 1339 3163 4017 9489 12051 28467 41119 123357 325789 370071 977367 2932101 4235257 12705771 38117313