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38259 = 3313109
BaseRepresentation
bin1001010101110011
31221111000
421111303
52211014
6453043
7216354
oct112563
957430
1038259
1126821
121a183
1314550
14dd2b
15b509
hex9573

38259 has 16 divisors (see below), whose sum is σ = 61600. Its totient is φ = 23328.

The previous prime is 38239. The next prime is 38261. The reversal of 38259 is 95283.

It is not a de Polignac number, because 38259 - 29 = 37747 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297 + ... + 405.

It is an arithmetic number, because the mean of its divisors is an integer number (3850).

238259 is an apocalyptic number.

38259 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

38259 is a deficient number, since it is larger than the sum of its proper divisors (23341).

38259 is a wasteful number, since it uses less digits than its factorization.

38259 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 125 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 38259 is about 195.5990797524. The cubic root of 38259 is about 33.6959629102.

It can be divided in two parts, 382 and 59, that added together give a square (441 = 212).

The spelling of 38259 in words is "thirty-eight thousand, two hundred fifty-nine".