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27688122 = 2337116659
BaseRepresentation
bin110100110011…
…1110010111010
31221002200222000
41221213302322
524042004442
62425241430
7454226250
oct151476272
957080860
1027688122
11146a1550
129333276
135975907
14396a5d0
15266dd4c
hex1a67cba

27688122 has 64 divisors (see below), whose sum is σ = 76723200. Its totient is φ = 7190640.

The previous prime is 27688117. The next prime is 27688139. The reversal of 27688122 is 22188672.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 829 + ... + 7487.

It is an arithmetic number, because the mean of its divisors is an integer number (1198800).

Almost surely, 227688122 is an apocalyptic number.

27688122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27688122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38361600).

27688122 is an abundant number, since it is smaller than the sum of its proper divisors (49035078).

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

27688122 is a wasteful number, since it uses less digits than its factorization.

27688122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6688 (or 6682 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 27688122 is about 5261.9503988540. The cubic root of 27688122 is about 302.5272502373.

The spelling of 27688122 in words is "twenty-seven million, six hundred eighty-eight thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 6659 13318 19977 39954 46613 59931 73249 93226 119862 139839 146498 179793 219747 279678 359586 419517 439494 512743 659241 839034 1025486 1258551 1318482 1538229 1977723 2517102 3076458 3955446 4614687 9229374 13844061 27688122