Search a number
-
+
38166117 = 31119292099
BaseRepresentation
bin1001000110010…
…1111001100101
32122211001001220
42101211321211
534232303432
63442010553
7642256323
oct221457145
978731056
1038166117
111a5a8850
1210946a59
137ba3c02
1450d6d13
15353d72c
hex2465e65

38166117 has 32 divisors (see below), whose sum is σ = 60480000. Its totient is φ = 21147840.

The previous prime is 38166113. The next prime is 38166127. The reversal of 38166117 is 71166183.

38166117 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 38166117 - 22 = 38166113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38166113) 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 31 ways as a sum of consecutive naturals, for example, 17134 + ... + 19232.

It is an arithmetic number, because the mean of its divisors is an integer number (1890000).

Almost surely, 238166117 is an apocalyptic number.

It is an amenable number.

38166117 is a deficient number, since it is larger than the sum of its proper divisors (22313883).

38166117 is a wasteful number, since it uses less digits than its factorization.

38166117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161.

The product of its digits is 6048, while the sum is 33.

The square root of 38166117 is about 6177.8731777206. The cubic root of 38166117 is about 336.6867243983.

It can be divided in two parts, 38166 and 117, that added together give a palindrome (38283).

The spelling of 38166117 in words is "thirty-eight million, one hundred sixty-six thousand, one hundred seventeen".

Divisors: 1 3 11 19 29 33 57 87 209 319 551 627 957 1653 2099 6061 6297 18183 23089 39881 60871 69267 119643 182613 438691 669581 1156549 1316073 2008743 3469647 12722039 38166117