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38000157 = 3132241311
BaseRepresentation
bin1001000011110…
…1011000011101
32122111121102020
42100331120131
534212001112
63434250353
7640665426
oct220753035
978447366
1038000157
111a4a5098
12108869b9
137b46500
14509264d
15350948c
hex243d61d

38000157 has 24 divisors (see below), whose sum is σ = 55268928. Its totient is φ = 23212800.

The previous prime is 38000143. The next prime is 38000161. The reversal of 38000157 is 75100083.

38000157 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 38000157 - 28 = 37999901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38000107) 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, 122032 + ... + 122342.

It is an arithmetic number, because the mean of its divisors is an integer number (2302872).

Almost surely, 238000157 is an apocalyptic number.

It is an amenable number.

38000157 is a deficient number, since it is larger than the sum of its proper divisors (17268771).

38000157 is a wasteful number, since it uses less digits than its factorization.

38000157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 38000157 is about 6164.4267373374. The cubic root of 38000157 is about 336.1980036882.

The spelling of 38000157 in words is "thirty-eight million, one hundred fifty-seven", and thus it is an aban number.

Divisors: 1 3 13 39 169 241 311 507 723 933 3133 4043 9399 12129 40729 52559 74951 122187 157677 224853 974363 2923089 12666719 38000157