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38332 = 227372
BaseRepresentation
bin1001010110111100
31221120201
421112330
52211312
6453244
7216520
oct112674
957521
1038332
1126888
121a224
13145a8
14dd80
15b557
hex95bc

38332 has 18 divisors (see below), whose sum is σ = 78792. Its totient is φ = 15984.

The previous prime is 38329. The next prime is 38333. The reversal of 38332 is 23383.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 11.

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 (38333) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1018 + ... + 1054.

238332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39396).

38332 is an abundant number, since it is smaller than the sum of its proper divisors (40460).

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

38332 is a wasteful number, since it uses less digits than its factorization.

38332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 46 counting only the distinct ones).

The product of its digits is 432, while the sum is 19.

The square root of 38332 is about 195.7855970188. The cubic root of 38332 is about 33.7173804631.

The spelling of 38332 in words is "thirty-eight thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 37 74 148 259 518 1036 1369 2738 5476 9583 19166 38332