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26868816 = 24321331463
BaseRepresentation
bin110011001111…
…1110001010000
31212120002002100
41212133301100
523334300231
62355520400
7444244512
oct146376120
955502070
1026868816
1114191a37
128bb9100
135749a10
1437d5bb2
15255b1e6
hex199fc50

26868816 has 120 divisors (see below), whose sum is σ = 83772416. Its totient is φ = 7983360.

The previous prime is 26868811. The next prime is 26868841. The reversal of 26868816 is 61886862.

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

Its product of digits (221184) is a multiple of the sum of its prime divisors (512).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26868811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57801 + ... + 58263.

Almost surely, 226868816 is an apocalyptic number.

26868816 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 26868816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41886208).

26868816 is an abundant number, since it is smaller than the sum of its proper divisors (56903600).

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

26868816 is a wasteful number, since it uses less digits than its factorization.

26868816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 512 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 26868816 is about 5183.5138660951. The cubic root of 26868816 is about 299.5133443144.

The spelling of 26868816 in words is "twenty-six million, eight hundred sixty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 36 39 48 52 62 72 78 93 104 117 124 144 156 186 208 234 248 279 312 372 403 463 468 496 558 624 744 806 926 936 1116 1209 1389 1488 1612 1852 1872 2232 2418 2778 3224 3627 3704 4167 4464 4836 5556 6019 6448 7254 7408 8334 9672 11112 12038 14353 14508 16668 18057 19344 22224 24076 28706 29016 33336 36114 43059 48152 54171 57412 58032 66672 72228 86118 96304 108342 114824 129177 144456 172236 186589 216684 229648 258354 288912 344472 373178 433368 516708 559767 688944 746356 866736 1033416 1119534 1492712 1679301 2066832 2239068 2985424 3358602 4478136 6717204 8956272 13434408 26868816