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38012 = 22131743
BaseRepresentation
bin1001010001111100
31221010212
421101330
52204022
6451552
7215552
oct112174
957125
1038012
1126617
1219bb8
13143c0
14dbd2
15b3e2
hex947c

38012 has 24 divisors (see below), whose sum is σ = 77616. Its totient is φ = 16128.

The previous prime is 38011. The next prime is 38039. The reversal of 38012 is 21083.

38012 is nontrivially palindromic in base 5.

38012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 38012.

It is not an unprimeable number, because it can be changed into a prime (38011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 863 + ... + 905.

It is an arithmetic number, because the mean of its divisors is an integer number (3234).

238012 is an apocalyptic number.

It is an amenable number.

38012 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (38808).

38012 is a wasteful number, since it uses less digits than its factorization.

38012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 38012 is about 194.9666638172. The cubic root of 38012 is about 33.6232926170.

Adding to 38012 its reverse (21083), we get a palindrome (59095).

It can be divided in two parts, 380 and 12, that multiplied together give a triangular number (4560 = T95).

The spelling of 38012 in words is "thirty-eight thousand, twelve".

Divisors: 1 2 4 13 17 26 34 43 52 68 86 172 221 442 559 731 884 1118 1462 2236 2924 9503 19006 38012