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

bin | 111111100010111001001 |

3 | 10220210022100 |

4 | 13330113021 |

5 | 1013112444 |

6 | 112344013 |

7 | 23461461 |

oct | 7742711 |

9 | 3823270 |

10 | 2082249 |

11 | 11a2474 |

12 | 845009 |

13 | 57ba00 |

14 | 3c2ba1 |

15 | 2b1e69 |

hex | 1fc5c9 |

2082249 has 27 divisors (see below), whose sum is σ = 3347253. Its totient is φ = 1246752.

The previous prime is 2082247. The next prime is 2082253. The reversal of 2082249 is 9422802.

Multipling 2082249 by its product of nonzero digits (2304), we get a square (4797501696 = 69264^{2}).

The square root of 2082249 is 1443.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8649 + 2073600 = 93^2 + 1440^2 .

It is not a de Polignac number, because 2082249 - 2^{1} = 2082247 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2082247) 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 26 ways as a sum of consecutive naturals, for example, 56259 + ... + 56295.

2^{2082249} is an apocalyptic number.

2082249 is the 1443-rd square number.

2082249 is the 722-nd centered octagonal number.

It is an amenable number.

2082249 is a deficient number, since it is larger than the sum of its proper divisors (1265004).

2082249 is a wasteful number, since it uses less digits than its factorization.

2082249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 2082249 is about 127.6960766239.

The spelling of 2082249 in words is "two million, eighty-two thousand, two hundred forty-nine".

Divisors: 1 3 9 13 37 39 111 117 169 333 481 507 1369 1443 1521 4107 4329 6253 12321 17797 18759 53391 56277 160173 231361 694083 2082249

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