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26930688 = 29389197
BaseRepresentation
bin110011010111…
…0111000000000
31212200012221220
41212232320000
523343240223
62401115040
7444623061
oct146567000
955605856
1026930688
1114224474
129028a80
13576bc25
143810568
15256e6e3
hex19aee00

26930688 has 80 divisors (see below), whose sum is σ = 72919440. Its totient is φ = 8830976.

The previous prime is 26930639. The next prime is 26930693. The reversal of 26930688 is 88603962.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136606 + ... + 136802.

It is an arithmetic number, because the mean of its divisors is an integer number (911493).

Almost surely, 226930688 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 26930688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36459720).

26930688 is an abundant number, since it is smaller than the sum of its proper divisors (45988752).

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

26930688 is an equidigital number, since it uses as much as digits as its factorization.

26930688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 26930688 is about 5189.4785865249. The cubic root of 26930688 is about 299.7430689064.

The spelling of 26930688 in words is "twenty-six million, nine hundred thirty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 197 256 267 356 384 394 512 534 591 712 768 788 1068 1182 1424 1536 1576 2136 2364 2848 3152 4272 4728 5696 6304 8544 9456 11392 12608 17088 17533 18912 22784 25216 34176 35066 37824 45568 50432 52599 68352 70132 75648 100864 105198 136704 140264 151296 210396 280528 302592 420792 561056 841584 1122112 1683168 2244224 3366336 4488448 6732672 8976896 13465344 26930688