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38844 = 22321383
BaseRepresentation
bin1001011110111100
31222021200
421132330
52220334
6455500
7221151
oct113674
958250
1038844
1127203
121a590
13148b0
1410228
15b799
hex97bc

38844 has 36 divisors (see below), whose sum is σ = 107016. Its totient is φ = 11808.

The previous prime is 38839. The next prime is 38851. The reversal of 38844 is 44883.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

38844 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 427 + ... + 509.

238844 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 38844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53508).

38844 is an abundant number, since it is smaller than the sum of its proper divisors (68172).

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

38844 is a wasteful number, since it uses less digits than its factorization.

38844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 101 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 38844 is about 197.0888124679. The cubic root of 38844 is about 33.8668378550.

The spelling of 38844 in words is "thirty-eight thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 83 117 156 166 234 249 332 468 498 747 996 1079 1494 2158 2988 3237 4316 6474 9711 12948 19422 38844