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27869868 = 2232131731113
BaseRepresentation
bin110101001010…
…0001010101100
31221102221021100
41222110022230
524113313433
62433203100
7455614155
oct152241254
957387240
1027869868
1114806054
129400490
135a0a560
1439b692c
1526a7b13
hex1a942ac

27869868 has 144 divisors (see below), whose sum is σ = 83655936. Its totient is φ = 7741440.

The previous prime is 27869819. The next prime is 27869887. The reversal of 27869868 is 86896872.

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 47 ways as a sum of consecutive naturals, for example, 246580 + ... + 246692.

It is an arithmetic number, because the mean of its divisors is an integer number (580944).

Almost surely, 227869868 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 27869868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41827968).

27869868 is an abundant number, since it is smaller than the sum of its proper divisors (55786068).

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

27869868 is a wasteful number, since it uses less digits than its factorization.

27869868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 179 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 27869868 is about 5279.1919836278. The cubic root of 27869868 is about 303.1877410498.

The spelling of 27869868 in words is "twenty-seven million, eight hundred sixty-nine thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 31 34 36 39 51 52 62 68 78 93 102 113 117 124 153 156 186 204 221 226 234 279 306 339 372 403 442 452 468 527 558 612 663 678 806 884 1017 1054 1116 1209 1326 1356 1469 1581 1612 1921 1989 2034 2108 2418 2652 2938 3162 3503 3627 3842 3978 4068 4407 4743 4836 5763 5876 6324 6851 7006 7254 7684 7956 8814 9486 10509 11526 13221 13702 14012 14508 17289 17628 18972 20553 21018 23052 24973 26442 27404 31527 34578 41106 42036 45539 49946 52884 59551 61659 63054 69156 74919 82212 91078 99892 119102 123318 126108 136617 149838 178653 182156 224757 238204 246636 273234 299676 357306 409851 449514 535959 546468 714612 774163 819702 899028 1071918 1548326 1639404 2143836 2322489 3096652 4644978 6967467 9289956 13934934 27869868