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26208 = 2532713
BaseRepresentation
bin110011001100000
31022221200
412121200
51314313
6321200
7136260
oct63140
938850
1026208
1118766
1213200
13bc10
1497a0
157b73
hex6660

26208 has 72 divisors (see below), whose sum is σ = 91728. Its totient is φ = 6912.

The previous prime is 26203. The next prime is 26209. The reversal of 26208 is 80262.

Multipling 26208 by its reverse (80262), we get a square (2103506496 = 458642).

It can be divided in two parts, 2620 and 8, that added together give a triangular number (2628 = T72).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26203) by changing a digit.

26208 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, 2010 + ... + 2022.

It is an arithmetic number, because the mean of its divisors is an integer number (1274).

226208 is an apocalyptic number.

26208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45864).

26208 is an abundant number, since it is smaller than the sum of its proper divisors (65520).

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

26208 is a wasteful number, since it uses less digits than its factorization.

26208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 25 counting only the distinct ones).

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

The square root of 26208 is about 161.8888507588. Note that the first 4 decimals coincide. The cubic root of 26208 is about 29.7037508442.

The spelling of 26208 in words is "twenty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 13104 26208