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26009856 = 28335371
BaseRepresentation
bin110001100111…
…0000100000000
31210221102211000
41203032010000
523124303411
62325252000
7434036325
oct143160400
953842730
1026009856
1113755654
128864000
135508a62
143650b4c
15243b956
hex18ce100

26009856 has 144 divisors (see below), whose sum is σ = 79470720. Its totient is φ = 8386560.

The previous prime is 26009833. The next prime is 26009873. The reversal of 26009856 is 65890062.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 26009856.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366301 + ... + 366371.

It is an arithmetic number, because the mean of its divisors is an integer number (551880).

Almost surely, 226009856 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 26009856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39735360).

26009856 is an abundant number, since it is smaller than the sum of its proper divisors (53460864).

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

26009856 is an equidigital number, since it uses as much as digits as its factorization.

26009856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 26009856 is about 5099.9858823334. The cubic root of 26009856 is about 296.2870359081.

The spelling of 26009856 in words is "twenty-six million, nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 71 72 96 106 108 128 142 144 159 192 212 213 216 256 284 288 318 384 424 426 432 477 568 576 636 639 768 848 852 864 954 1136 1152 1272 1278 1431 1696 1704 1728 1908 1917 2272 2304 2544 2556 2862 3392 3408 3456 3763 3816 3834 4544 5088 5112 5724 6784 6816 6912 7526 7632 7668 9088 10176 10224 11289 11448 13568 13632 15052 15264 15336 18176 20352 20448 22578 22896 27264 30104 30528 30672 33867 40704 40896 45156 45792 54528 60208 61056 61344 67734 81792 90312 91584 101601 120416 122112 122688 135468 163584 180624 183168 203202 240832 245376 270936 361248 366336 406404 481664 490752 541872 722496 812808 963328 1083744 1444992 1625616 2167488 2889984 3251232 4334976 6502464 8669952 13004928 26009856