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38836 = 2271973
BaseRepresentation
bin1001011110110100
31222021101
421132310
52220321
6455444
7221140
oct113664
958241
1038836
11271a6
121a584
13148a5
1410220
15b791
hex97b4

38836 has 24 divisors (see below), whose sum is σ = 82880. Its totient is φ = 15552.

The previous prime is 38833. The next prime is 38839. The reversal of 38836 is 63883.

It is an interprime number because it is at equal distance from previous prime (38833) and next prime (38839).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38833) 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, 496 + ... + 568.

238836 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 38836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41440).

38836 is an abundant number, since it is smaller than the sum of its proper divisors (44044).

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

38836 is a wasteful number, since it uses less digits than its factorization.

38836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 101 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 38836 is about 197.0685160040. The cubic root of 38836 is about 33.8645127143.

It can be divided in two parts, 388 and 36, that added together give a palindrome (424).

The spelling of 38836 in words is "thirty-eight thousand, eight hundred thirty-six".

Divisors: 1 2 4 7 14 19 28 38 73 76 133 146 266 292 511 532 1022 1387 2044 2774 5548 9709 19418 38836