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27671868 = 22357383
BaseRepresentation
bin110100110001…
…1110100111100
31221001212200000
41221203310330
524040444433
62425034300
7454131000
oct151436474
957055600
1027671868
1114690314
129325990
13596b3b3
143964700
152669113
hex1a63d3c

27671868 has 144 divisors (see below), whose sum is σ = 85612800. Its totient is φ = 7810992.

The previous prime is 27671863. The next prime is 27671899. The reversal of 27671868 is 86817672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27671863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333355 + ... + 333437.

Almost surely, 227671868 is an apocalyptic number.

27671868 is a gapful number since it is divisible by the number (28) 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 27671868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42806400).

27671868 is an abundant number, since it is smaller than the sum of its proper divisors (57940932).

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

27671868 is an equidigital number, since it uses as much as digits as its factorization.

27671868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 95 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 27671868 is about 5260.4056877773. The cubic root of 27671868 is about 302.4680402453.

The spelling of 27671868 in words is "twenty-seven million, six hundred seventy-one thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 83 84 98 108 126 147 162 166 189 196 243 249 252 294 324 332 343 378 441 486 498 567 581 588 686 747 756 882 972 996 1029 1134 1162 1323 1372 1494 1701 1743 1764 2058 2241 2268 2324 2646 2988 3087 3402 3486 3969 4067 4116 4482 5229 5292 6174 6723 6804 6972 7938 8134 8964 9261 10458 11907 12201 12348 13446 15687 15876 16268 18522 20169 20916 23814 24402 26892 27783 28469 31374 36603 37044 40338 47061 47628 48804 55566 56938 62748 73206 80676 83349 85407 94122 109809 111132 113876 141183 146412 166698 170814 188244 219618 256221 282366 329427 333396 341628 439236 512442 564732 658854 768663 988281 1024884 1317708 1537326 1976562 2305989 3074652 3953124 4611978 6917967 9223956 13835934 27671868