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

bin | 100110000110… |

… | …110011000000 |

3 | 200210111202112 |

4 | 212012303000 |

5 | 10024124222 |

6 | 554034452 |

7 | 150623234 |

oct | 46066300 |

9 | 20714675 |

10 | 9989312 |

11 | 5703133 |

12 | 3418a28 |

13 | 20b9a48 |

14 | 14805c4 |

15 | d24be2 |

hex | 986cc0 |

9989312 has 28 divisors (see below), whose sum is σ = 19994880. Its totient is φ = 4951296.

The previous prime is 9989293. The next prime is 9989321. The reversal of 9989312 is 2139899.

It can be divided in two parts, 9989 and 312, that added together give a palindrome (10301).

9989312 is an admirable number.

It is a self number, because there is not a number *n* which added to its sum of digits gives 9989312.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7514 + ... + 8742.

Almost surely, 2^{9989312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9989312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9997440).

9989312 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9989312 is a wasteful number, since it uses less digits than its factorization.

9989312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1358 counting only the distinct ones).

The product of its digits is 34992, while the sum is 41.

The square root of 9989312 is about 3160.5872871984. The cubic root of 9989312 is about 215.3666863150.

The spelling of 9989312 in words is "nine million, nine hundred eighty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 127 254 508 1016 1229 2032 2458 4064 4916 8128 9832 19664 39328 78656 156083 312166 624332 1248664 2497328 4994656 9989312

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