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

bin | 1011110010000… |

… | …00000000000001 |

3 | 20212221222221000 |

4 | 11321000000001 |

5 | 200300001124 |

6 | 13450122213 |

7 | 2310012060 |

oct | 571000001 |

9 | 225858830 |

10 | 98828289 |

11 | 5087117a |

12 | 29120369 |

13 | 176233a1 |

14 | d1a81d7 |

15 | 8a226c9 |

hex | 5e40001 |

98828289 has 32 divisors (see below), whose sum is σ = 169472000. Its totient is φ = 55750032.

The previous prime is 98828281. The next prime is 98828297. The reversal of 98828289 is 98282889.

It is an interprime number because it is at equal distance from previous prime (98828281) and next prime (98828297).

It is not a de Polignac number, because 98828289 - 2^{3} = 98828281 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98828281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11622 + ... + 18240.

It is an arithmetic number, because the mean of its divisors is an integer number (5296000).

It is a Proth number, since it is equal to 377 ⋅ 2^{18} + 1 and 377 < 2^{18}.

Almost surely, 2^{98828289} is an apocalyptic number.

It is an amenable number.

98828289 is a deficient number, since it is larger than the sum of its proper divisors (70643711).

98828289 is a wasteful number, since it uses less digits than its factorization.

98828289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6714 (or 6708 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The square root of 98828289 is about 9941.2418238367. The cubic root of 98828289 is about 462.3388894892.

The spelling of 98828289 in words is "ninety-eight million, eight hundred twenty-eight thousand, two hundred eighty-nine".

Divisors: 1 3 7 9 21 27 63 79 189 237 553 711 1659 2133 4977 6619 14931 19857 46333 59571 138999 178713 416997 522901 1250991 1568703 3660307 4706109 10980921 14118327 32942763 98828289

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