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26085696 = 2637131493
BaseRepresentation
bin110001110000…
…0100101000000
31211002021211220
41203200211000
523134220241
62331035040
7434503410
oct143404500
954067756
1026085696
11137a762a
12889ba80
135534430
143670640
152454166
hex18e0940

26085696 has 112 divisors (see below), whose sum is σ = 85002624. Its totient is φ = 6875136.

The previous prime is 26085659. The next prime is 26085739. The reversal of 26085696 is 69658062.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×260856963 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 16726 + ... + 18218.

It is an arithmetic number, because the mean of its divisors is an integer number (758952).

Almost surely, 226085696 is an apocalyptic number.

26085696 is a gapful number since it is divisible by the number (26) 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 26085696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42501312).

26085696 is an abundant number, since it is smaller than the sum of its proper divisors (58916928).

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

26085696 is a wasteful number, since it uses less digits than its factorization.

26085696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 26085696 is about 5107.4157849151. The cubic root of 26085696 is about 296.5747294686.

The spelling of 26085696 in words is "twenty-six million, eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 1493 2184 2496 2912 2986 4368 4479 5824 5972 8736 8958 10451 11944 17472 17916 19409 20902 23888 31353 35832 38818 41804 47776 58227 62706 71664 77636 83608 95552 116454 125412 135863 143328 155272 167216 232908 250824 271726 286656 310544 334432 407589 465816 501648 543452 621088 668864 815178 931632 1003296 1086904 1242176 1630356 1863264 2006592 2173808 3260712 3726528 4347616 6521424 8695232 13042848 26085696