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38038 = 27111319
BaseRepresentation
bin1001010010010110
31221011211
421102112
52204123
6452034
7215620
oct112226
957154
1038038
1126640
121a01a
1314410
14dc10
15b40d
hex9496

38038 has 32 divisors (see below), whose sum is σ = 80640. Its totient is φ = 12960.

The previous prime is 38011. The next prime is 38039. The reversal of 38038 is 83083.

Adding to 38038 its reverse (83083), we get a palindrome (121121).

It is a Harshad number since it is a multiple of its sum of digits (22).

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 (38039) by changing a digit.

38038 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 15 ways as a sum of consecutive naturals, for example, 1993 + ... + 2011.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

238038 is an apocalyptic number.

38038 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

38038 is an abundant number, since it is smaller than the sum of its proper divisors (42602).

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 (40320).

38038 is a wasteful number, since it uses less digits than its factorization.

38038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 38038 is about 195.0333304848. The cubic root of 38038 is about 33.6309569192.

The spelling of 38038 in words is "thirty-eight thousand, thirty-eight".

Divisors: 1 2 7 11 13 14 19 22 26 38 77 91 133 143 154 182 209 247 266 286 418 494 1001 1463 1729 2002 2717 2926 3458 5434 19019 38038