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

bin | 100101100001… |

… | …000000000000 |

3 | 200111122101121 |

4 | 211201000000 |

5 | 10004200441 |

6 | 550442024 |

7 | 146410000 |

oct | 45410000 |

9 | 20448347 |

10 | 9834496 |

11 | 5607891 |

12 | 3363314 |

13 | 2064439 |

14 | 1440000 |

15 | ce3dd1 |

hex | 961000 |

9834496 has 65 divisors (see below), whose sum is σ = 22942991. Its totient is φ = 4214784.

The previous prime is 9834491. The next prime is 9834497. The reversal of 9834496 is 6944389.

The square root of 9834496 is 3136.

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

It is a Duffinian number.

Its product of digits (186624) is a multiple of the sum of its prime divisors (9).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (9834491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 1404925 + ... + 1404931.

Almost surely, 2^{9834496} is an apocalyptic number.

9834496 is the 3136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9834496

9834496 is an abundant number, since it is smaller than the sum of its proper divisors (13108495).

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

9834496 is an frugal number, since it uses more digits than its factorization.

9834496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 9 counting only the distinct ones).

The product of its digits is 186624, while the sum is 43.

The cubic root of 9834496 is about 214.2482924705.

Multiplying 9834496 by its product of digits (186624), we get a square (1835352981504 = 1354752^{2}).

The spelling of 9834496 in words is "nine million, eight hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 512 686 784 896 1024 1372 1568 1792 2048 2401 2744 3136 3584 4096 4802 5488 6272 7168 9604 10976 12544 14336 19208 21952 25088 28672 38416 43904 50176 76832 87808 100352 153664 175616 200704 307328 351232 614656 702464 1229312 1404928 2458624 4917248 9834496

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