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38172 = 2233181
BaseRepresentation
bin1001010100011100
31221100210
421110130
52210142
6452420
7216201
oct112434
957323
1038172
1126752
121a110
13144b4
14dca8
15b49c
hex951c

38172 has 12 divisors (see below), whose sum is σ = 89096. Its totient is φ = 12720.

The previous prime is 38167. The next prime is 38177. The reversal of 38172 is 27183.

It is an interprime number because it is at equal distance from previous prime (38167) and next prime (38177).

It is a tau number, because it is divible by the number of its divisors (12).

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38172.

It is not an unprimeable number, because it can be changed into a prime (38177) by changing a digit.

38172 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 1579 + ... + 1602.

238172 is an apocalyptic number.

It is an amenable number.

38172 is an abundant number, since it is smaller than the sum of its proper divisors (50924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44548).

38172 is a wasteful number, since it uses less digits than its factorization.

38172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188 (or 3186 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 38172 is about 195.3765594947. The cubic root of 38172 is about 33.6704022693.

It can be divided in two parts, 38 and 172, that added together give a triangular number (210 = T20).

The spelling of 38172 in words is "thirty-eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 3181 6362 9543 12724 19086 38172