Base | Representation |
---|---|

bin | 110110011110001 |

3 | 1102020221 |

4 | 12303301 |

5 | 1343024 |

6 | 333041 |

7 | 144211 |

oct | 66361 |

9 | 42227 |

10 | 27889 |

11 | 19a54 |

12 | 14181 |

13 | c904 |

14 | a241 |

15 | 83e4 |

hex | 6cf1 |

27889 has 3 divisors (see below), whose sum is σ = 28057. Its totient is φ = 27722.

The previous prime is 27883. The next prime is 27893. The reversal of 27889 is 98872.

27889 = T_{166} + T_{167}.

It is a happy number.

The square root of 27889 is 167.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 27889 - 2^{11} = 25841 is a prime.

It is a Duffinian number.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (27883) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 84 + ... + 250.

27889 is a Friedman number, since it can be written as (89+78)^2, using all its digits and the basic arithmetic operations.

2^{27889} is an apocalyptic number.

27889 is the 167-th square number.

27889 is the 84-th centered octagonal number.

It is an amenable number.

27889 is a deficient number, since it is larger than the sum of its proper divisors (168).

27889 is an frugal number, since it uses more digits than its factorization.

27889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 167 counting only the distinct ones).

The product of its digits is 8064, while the sum is 34.

The cubic root of 27889 is about 30.3257102233.

Adding to 27889 its product of digits (8064), we get a palindrome (35953).

It can be divided in two parts, 278 and 89, that multiplied together give a palindrome (24742).

The spelling of 27889 in words is "twenty-seven thousand, eight hundred eighty-nine".

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