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38826 = 233719
BaseRepresentation
bin1001011110101010
31222021000
421132222
52220301
6455430
7221124
oct113652
958230
1038826
1127197
121a576
1314898
1410214
15b786
hex97aa

38826 has 16 divisors (see below), whose sum is σ = 86400. Its totient is φ = 12924.

The previous prime is 38821. The next prime is 38833. The reversal of 38826 is 62883.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 38826.

It is not an unprimeable number, because it can be changed into a prime (38821) 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, 306 + ... + 413.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

238826 is an apocalyptic number.

38826 is an abundant number, since it is smaller than the sum of its proper divisors (47574).

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 (43200).

38826 is a wasteful number, since it uses less digits than its factorization.

38826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 724 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 38826 is about 197.0431424841. The cubic root of 38826 is about 33.8616058392.

It can be divided in two parts, 388 and 26, that added together give a palindrome (414).

The spelling of 38826 in words is "thirty-eight thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 719 1438 2157 4314 6471 12942 19413 38826