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26241696 = 25321343163
BaseRepresentation
bin110010000011…
…0101010100000
31211101012211200
41210012222200
523204213241
62334241200
7436023255
oct144065240
954335750
1026241696
11138a3858
128956200
13558a440
1436b142c
1524854b6
hex1906aa0

26241696 has 144 divisors (see below), whose sum is σ = 82738656. Its totient is φ = 7838208.

The previous prime is 26241661. The next prime is 26241707. The reversal of 26241696 is 69614262.

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 nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 26241696.

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, 160911 + ... + 161073.

It is an arithmetic number, because the mean of its divisors is an integer number (574574).

Almost surely, 226241696 is an apocalyptic number.

26241696 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 26241696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41369328).

26241696 is an abundant number, since it is smaller than the sum of its proper divisors (56496960).

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

26241696 is a wasteful number, since it uses less digits than its factorization.

26241696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 224 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 26241696 is about 5122.6649314590. The cubic root of 26241696 is about 297.1647557121.

The spelling of 26241696 in words is "twenty-six million, two hundred forty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 43 48 52 72 78 86 96 104 117 129 144 156 163 172 208 234 258 288 312 326 344 387 416 468 489 516 559 624 652 688 774 936 978 1032 1118 1248 1304 1376 1467 1548 1677 1872 1956 2064 2119 2236 2608 2934 3096 3354 3744 3912 4128 4238 4472 5031 5216 5868 6192 6357 6708 7009 7824 8476 8944 10062 11736 12384 12714 13416 14018 15648 16952 17888 19071 20124 21027 23472 25428 26832 28036 33904 38142 40248 42054 46944 50856 53664 56072 63081 67808 76284 80496 84108 91117 101712 112144 126162 152568 160992 168216 182234 203424 224288 252324 273351 305136 336432 364468 504648 546702 610272 672864 728936 820053 1009296 1093404 1457872 1640106 2018592 2186808 2915744 3280212 4373616 6560424 8747232 13120848 26241696