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

bin | 100110000101… |

… | …010100000000 |

3 | 200210012102100 |

4 | 212011110000 |

5 | 10023430412 |

6 | 553550400 |

7 | 150566430 |

oct | 46052400 |

9 | 20705370 |

10 | 9983232 |

11 | 56a9606 |

12 | 3415400 |

13 | 20b704c |

14 | 147c2c0 |

15 | d22edc |

hex | 985500 |

9983232 has 108 divisors (see below), whose sum is σ = 32949280. Its totient is φ = 2847744.

The previous prime is 9983231. The next prime is 9983243. The reversal of 9983232 is 2323899.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as **9** + **9** + **8** + **3**^{5} + **2**^{5} + **3**^{13} + **2**^{23} .

Its product of digits (23328) is a multiple of the sum of its prime factors (648).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9983231) 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 11 ways as a sum of consecutive naturals, for example, 15819 + ... + 16437.

Almost surely, 2^{9983232} 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 9983232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16474640).

9983232 is an abundant number, since it is smaller than the sum of its proper divisors (22966048).

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

9983232 is a wasteful number, since it uses less digits than its factorization.

9983232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 631 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 9983232 is about 3159.6252942398. The cubic root of 9983232 is about 215.3229830982.

The spelling of 9983232 in words is "nine million, nine hundred eighty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 619 672 768 896 1008 1152 1238 1344 1792 1857 2016 2304 2476 2688 3714 4032 4333 4952 5376 5571 7428 8064 8666 9904 11142 12999 14856 16128 17332 19808 22284 25998 29712 34664 38997 39616 44568 51996 59424 69328 77994 79232 89136 103992 118848 138656 155988 158464 178272 207984 237696 277312 311976 356544 415968 475392 554624 623952 713088 831936 1109248 1247904 1426176 1663872 2495808 3327744 4991616 9983232

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