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26082 = 234723
BaseRepresentation
bin110010111100010
31022210000
412113202
51313312
6320430
7136020
oct62742
938700
1026082
1118661
1213116
13bb44
149710
157adc
hex65e2

26082 has 40 divisors (see below), whose sum is σ = 69696. Its totient is φ = 7128.

The previous prime is 26053. The next prime is 26083. The reversal of 26082 is 28062.

It can be divided in two parts, 2 and 6082, that added together give a square (6084 = 782).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 13 and base 14.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (26083) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1123 + ... + 1145.

226082 is an apocalyptic number.

It is a pronic number, being equal to 161×162.

It is a practical number, because each smaller number is the sum of distinct divisors of 26082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34848).

26082 is an abundant number, since it is smaller than the sum of its proper divisors (43614).

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

26082 is a wasteful number, since it uses less digits than its factorization.

26082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 26082 is about 161.4992260043. The cubic root of 26082 is about 29.6560721894.

The spelling of 26082 in words is "twenty-six thousand, eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 81 126 138 161 162 189 207 322 378 414 483 567 621 966 1134 1242 1449 1863 2898 3726 4347 8694 13041 26082