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26261268 = 223111937283
BaseRepresentation
bin110010000101…
…1011100010100
31211102012200120
41210023130110
523210330033
62334511540
7436134315
oct144133424
954365616
1026261268
1113907530
1289655b0
135596317
1436b860c
15248b1b3
hex190b714

26261268 has 96 divisors (see below), whose sum is σ = 72522240. Its totient is φ = 7309440.

The previous prime is 26261201. The next prime is 26261273. The reversal of 26261268 is 86216262.

It is a super-3 number, since 3×262612683 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92655 + ... + 92937.

It is an arithmetic number, because the mean of its divisors is an integer number (755440).

Almost surely, 226261268 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 26261268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36261120).

26261268 is an abundant number, since it is smaller than the sum of its proper divisors (46260972).

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

26261268 is a wasteful number, since it uses less digits than its factorization.

26261268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 355 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 26261268 is about 5124.5749091998. The cubic root of 26261268 is about 297.2386160709.

The spelling of 26261268 in words is "twenty-six million, two hundred sixty-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 19 22 33 37 38 44 57 66 74 76 111 114 132 148 209 222 228 283 407 418 444 566 627 703 814 836 849 1132 1221 1254 1406 1628 1698 2109 2442 2508 2812 3113 3396 4218 4884 5377 6226 7733 8436 9339 10471 10754 12452 15466 16131 18678 20942 21508 23199 30932 31413 32262 37356 41884 46398 59147 62826 64524 92796 115181 118294 125652 177441 198949 230362 236588 345543 354882 397898 460724 596847 691086 709764 795796 1193694 1382172 2188439 2387388 4376878 6565317 8753756 13130634 26261268