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

bin | 110000111111… |

… | …001000000000 |

3 | 220011102012002 |

4 | 300333020000 |

5 | 11241411342 |

6 | 1135123132 |

7 | 214102460 |

oct | 60771000 |

9 | 26142162 |

10 | 12841472 |

11 | 7280a96 |

12 | 43734a8 |

13 | 2878007 |

14 | 19c3ba0 |

15 | 11d9d32 |

hex | c3f200 |

12841472 has 40 divisors (see below), whose sum is σ = 29331456. Its totient is φ = 5501952.

The previous prime is 12841463. The next prime is 12841489. The reversal of 12841472 is 27414821.

Adding to 12841472 its product of digits (3584), we get a square (12845056 = 3584^{2}).

It can be divided in two parts, 128 and 41472, that multiplied together give a 4-th power (5308416 = 48^{4}).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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, 1793 + ... + 5375.

Almost surely, 2^{12841472} is an apocalyptic number.

It is a pronic number, being equal to 3583×3584.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12841472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14665728).

12841472 is an abundant number, since it is smaller than the sum of its proper divisors (16489984).

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

12841472 is an frugal number, since it uses more digits than its factorization.

12841472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608 (or 3592 counting only the distinct ones).

The product of its digits is 3584, while the sum is 29.

The square root of 12841472 is about 3583.4999651179. The cubic root of 12841472 is about 234.1737818337.

The spelling of 12841472 in words is "twelve million, eight hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3583 3584 7166 14332 25081 28664 50162 57328 100324 114656 200648 229312 401296 458624 802592 917248 1605184 1834496 3210368 6420736 12841472

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