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38086137 = 32172379137
BaseRepresentation
bin1001000101001…
…0010111111001
32122122222100200
42101102113321
534222224022
63440152413
7641504205
oct221222771
978588320
1038086137
111a553751
1210908709
137b7669b
1450b5b05
153524bac
hex24525f9

38086137 has 48 divisors (see below), whose sum is σ = 62000640. Its totient is φ = 22404096.

The previous prime is 38086099. The next prime is 38086163. The reversal of 38086137 is 73168083.

38086137 is a `hidden beast` number, since 38 + 0 + 8 + 613 + 7 = 666.

38086137 is nontrivially palindromic in base 14.

38086137 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 38086137 - 28 = 38085881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38086637) 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 47 ways as a sum of consecutive naturals, for example, 277933 + ... + 278069.

It is an arithmetic number, because the mean of its divisors is an integer number (1291680).

Almost surely, 238086137 is an apocalyptic number.

It is an amenable number.

38086137 is a deficient number, since it is larger than the sum of its proper divisors (23914503).

38086137 is a wasteful number, since it uses less digits than its factorization.

38086137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 38086137 is about 6171.3966814652. The cubic root of 38086137 is about 336.4513757148.

The spelling of 38086137 in words is "thirty-eight million, eighty-six thousand, one hundred thirty-seven".

Divisors: 1 3 9 17 23 51 69 79 137 153 207 237 391 411 711 1173 1233 1343 1817 2329 3151 3519 4029 5451 6987 9453 10823 12087 16353 20961 28359 30889 32469 53567 92667 97407 160701 183991 248929 278001 482103 551973 746787 1655919 2240361 4231793 12695379 38086137