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

bin | 111011001101100… |

… | …110010000000001 |

3 | 2120020021222110001 |

4 | 323031212100001 |

5 | 4013303422124 |

6 | 242324240001 |

7 | 33421635031 |

oct | 7315462001 |

9 | 2506258401 |

10 | 993420289 |

11 | 46a83a404 |

12 | 238840001 |

13 | 12aa75374 |

14 | 95d178c1 |

15 | 5c331b44 |

hex | 3b366401 |

993420289 has 16 divisors (see below), whose sum is σ = 1035409408. Its totient is φ = 952342272.

The previous prime is 993420251. The next prime is 993420299. The reversal of 993420289 is 982024399.

It is a 3-Lehmer number, since φ(993420289) divides (993420289-1)^{3}.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 993420289 - 2^{7} = 993420161 is a prime.

It is a deceptive number, since it divides R_{993420288}.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (993420299) 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, 765289 + ... + 766585.

It is an arithmetic number, because the mean of its divisors is an integer number (64713088).

It is a Poulet number, since it divides 2^{993420288}-1.

Almost surely, 2^{993420289} is an apocalyptic number.

It is an amenable number.

993420289 is a deficient number, since it is larger than the sum of its proper divisors (41989119).

993420289 is a wasteful number, since it uses less digits than its factorization.

993420289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624.

The product of its (nonzero) digits is 279936, while the sum is 46.

The square root of 993420289 is about 31518.5705418250. The cubic root of 993420289 is about 997.8019350505.

The spelling of 993420289 in words is "nine hundred ninety-three million, four hundred twenty thousand, two hundred eighty-nine".

Divisors: 1 37 127 163 1297 4699 6031 20701 47989 164719 211411 765937 6094603 7822207 26849197 993420289

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