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27688073 = 719409509
BaseRepresentation
bin110100110011…
…1110010001001
31221002200220012
41221213302021
524042004243
62425241305
7454226150
oct151476211
957080805
1027688073
11146a1506
129333235
13597589a
14396a597
15266dd18
hex1a67c89

27688073 has 16 divisors (see below), whose sum is σ = 33456000. Its totient is φ = 22384512.

The previous prime is 27688057. The next prime is 27688093. The reversal of 27688073 is 37088672.

It is a cyclic number.

It is not a de Polignac number, because 27688073 - 24 = 27688057 is a prime.

It is a super-3 number, since 3×276880733 (a number of 23 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 27688073.

It is not an unprimeable number, because it can be changed into a prime (27688033) 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 15 ways as a sum of consecutive naturals, for example, 54143 + ... + 54651.

It is an arithmetic number, because the mean of its divisors is an integer number (2091000).

Almost surely, 227688073 is an apocalyptic number.

It is an amenable number.

27688073 is a deficient number, since it is larger than the sum of its proper divisors (5767927).

27688073 is a wasteful number, since it uses less digits than its factorization.

27688073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944.

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 27688073 is about 5261.9457427837. The cubic root of 27688073 is about 302.5270717752.

The spelling of 27688073 in words is "twenty-seven million, six hundred eighty-eight thousand, seventy-three".

Divisors: 1 7 19 133 409 509 2863 3563 7771 9671 54397 67697 208181 1457267 3955439 27688073