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26808096 = 2537241139
BaseRepresentation
bin110011001000…
…0111100100000
31212102222210110
41212100330200
523330324341
62354331320
7443602500
oct146207440
955388713
1026808096
1114150357
128b89b40
1357281a3
1437bba00
152548216
hex1990f20

26808096 has 144 divisors (see below), whose sum is σ = 84460320. Its totient is φ = 7418880.

The previous prime is 26808083. The next prime is 26808139. The reversal of 26808096 is 69080862.

It is a super-2 number, since 2×268080962 = 1437348022290432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192795 + ... + 192933.

It is an arithmetic number, because the mean of its divisors is an integer number (586530).

Almost surely, 226808096 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 26808096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42230160).

26808096 is an abundant number, since it is smaller than the sum of its proper divisors (57652224).

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

26808096 is a wasteful number, since it uses less digits than its factorization.

26808096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 26808096 is about 5177.6535225911. The cubic root of 26808096 is about 299.2875538521.

The spelling of 26808096 in words is "twenty-six million, eight hundred eight thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 49 56 82 84 96 98 112 123 139 147 164 168 196 224 246 278 287 294 328 336 392 417 492 556 574 588 656 672 784 834 861 973 984 1112 1148 1176 1312 1568 1668 1722 1946 1968 2009 2224 2296 2352 2919 3336 3444 3892 3936 4018 4448 4592 4704 5699 5838 6027 6672 6811 6888 7784 8036 9184 11398 11676 12054 13344 13622 13776 15568 16072 17097 20433 22796 23352 24108 27244 27552 31136 32144 34194 39893 40866 45592 46704 48216 54488 64288 68388 79786 81732 91184 93408 96432 108976 119679 136776 159572 163464 182368 192864 217952 239358 273552 279251 319144 326928 478716 547104 558502 638288 653856 837753 957432 1117004 1276576 1675506 1914864 2234008 3351012 3829728 4468016 6702024 8936032 13404048 26808096