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26908128 = 2532137187
BaseRepresentation
bin110011010100…
…1010111100000
31212122002000100
41212221113200
523342030003
62400422400
7444500232
oct146512740
955562010
1026908128
1114209525
129017a00
135761890
143806252
152567ba3
hex19a95e0

26908128 has 72 divisors (see below), whose sum is σ = 82417608. Its totient is φ = 8278272.

The previous prime is 26908097. The next prime is 26908129. The reversal of 26908128 is 82180962.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 26908092 and 26908101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26908129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151 + ... + 7337.

It is an arithmetic number, because the mean of its divisors is an integer number (1144689).

Almost surely, 226908128 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 26908128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41208804).

26908128 is an abundant number, since it is smaller than the sum of its proper divisors (55509480).

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

26908128 is a wasteful number, since it uses less digits than its factorization.

26908128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7216 (or 7205 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 26908128 is about 5187.3045023403. The cubic root of 26908128 is about 299.6593466641.

The spelling of 26908128 in words is "twenty-six million, nine hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 7187 14374 21561 28748 43122 57496 64683 86244 93431 114992 129366 172488 186862 229984 258732 280293 344976 373724 517464 560586 689952 747448 840879 1034928 1121172 1494896 1681758 2069856 2242344 2989792 3363516 4484688 6727032 8969376 13454064 26908128