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26240256 = 283271627
BaseRepresentation
bin110010000011…
…0010100000000
31211101010212100
41210012110000
523204142011
62334230400
7436016130
oct144062400
954333770
1026240256
11138a2769
128955400
1355898a3
1436b0ac0
152484d56
hex1906500

26240256 has 108 divisors (see below), whose sum is σ = 86518432. Its totient is φ = 7492608.

The previous prime is 26240243. The next prime is 26240257. The reversal of 26240256 is 65204262.

26240256 = T28 + T29 + ... + T539.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26240257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15315 + ... + 16941.

Almost surely, 226240256 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 26240256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43259216).

26240256 is an abundant number, since it is smaller than the sum of its proper divisors (60278176).

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

26240256 is a wasteful number, since it uses less digits than its factorization.

26240256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 26240256 is about 5122.5243776872. The cubic root of 26240256 is about 297.1593200233.

The spelling of 26240256 in words is "twenty-six million, two hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1627 1792 2016 2304 2688 3254 4032 4881 5376 6508 8064 9762 11389 13016 14643 16128 19524 22778 26032 29286 34167 39048 45556 52064 58572 68334 78096 91112 102501 104128 117144 136668 156192 182224 205002 208256 234288 273336 312384 364448 410004 416512 468576 546672 624768 728896 820008 937152 1093344 1249536 1457792 1640016 1874304 2186688 2915584 3280032 3748608 4373376 6560064 8746752 13120128 26240256