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27685314 = 234297183
BaseRepresentation
bin110100110011…
…1000111000010
31221002120010000
41221213013002
524041412224
62425220430
7454215126
oct151470702
957076100
1027685314
111469a428
129331716
135974557
143969586
15266d0c9
hex1a671c2

27685314 has 80 divisors (see below), whose sum is σ = 65862720. Its totient is φ = 8678880.

The previous prime is 27685309. The next prime is 27685321. The reversal of 27685314 is 41358672.

It is a super-2 number, since 2×276853142 = 1532953222557192, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 333517 + ... + 333599.

It is an arithmetic number, because the mean of its divisors is an integer number (823284).

Almost surely, 227685314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27685314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32931360).

27685314 is an abundant number, since it is smaller than the sum of its proper divisors (38177406).

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

27685314 is a wasteful number, since it uses less digits than its factorization.

27685314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 188 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 27685314 is about 5261.6835708735. The cubic root of 27685314 is about 302.5170229247.

The spelling of 27685314 in words is "twenty-seven million, six hundred eighty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 71 81 83 87 142 162 166 174 213 249 261 426 498 522 639 747 783 1278 1494 1566 1917 2059 2241 2349 2407 3834 4118 4482 4698 4814 5751 5893 6177 6723 7221 11502 11786 12354 13446 14442 17679 18531 21663 35358 37062 43326 53037 55593 64989 106074 111186 129978 159111 166779 170897 194967 318222 333558 341794 389934 477333 512691 954666 1025382 1538073 3076146 4614219 9228438 13842657 27685314