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38181 = 3111389
BaseRepresentation
bin1001010100100101
31221101010
421110211
52210211
6452433
7216213
oct112445
957333
1038181
1126760
121a119
13144c0
14dcb3
15b4a6
hex9525

38181 has 16 divisors (see below), whose sum is σ = 60480. Its totient is φ = 21120.

The previous prime is 38177. The next prime is 38183. The reversal of 38181 is 18183.

It is a happy number.

It is not a de Polignac number, because 38181 - 22 = 38177 is a prime.

It is a super-2 number, since 2×381812 = 2915577522, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 8.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385 + ... + 473.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

238181 is an apocalyptic number.

It is an amenable number.

38181 is a deficient number, since it is larger than the sum of its proper divisors (22299).

38181 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (38180) it forms an eRAP, since the sums of their prime factors are consecutive (115 and 116).

38181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116.

The product of its digits is 192, while the sum is 21.

The square root of 38181 is about 195.3995905830. The cubic root of 38181 is about 33.6730482734.

The spelling of 38181 in words is "thirty-eight thousand, one hundred eighty-one".

Divisors: 1 3 11 13 33 39 89 143 267 429 979 1157 2937 3471 12727 38181