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

bin | 1100110111111000000 |

3 | 210102122010 |

4 | 1212333000 |

5 | 101444244 |

6 | 13012520 |

7 | 3404544 |

oct | 1467700 |

9 | 712563 |

10 | 421824 |

11 | 268a17 |

12 | 184140 |

13 | 11a000 |

14 | ada24 |

15 | 84eb9 |

hex | 66fc0 |

421824 has 56 divisors (see below), whose sum is σ = 1209040. Its totient is φ = 129792.

The previous prime is 421807. The next prime is 421831. The reversal of 421824 is 428124.

Adding to 421824 its reverse (428124), we get a palindrome (849948).

421824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an ABA number since it can be written as A⋅B^{A}, here for A=3, B=52.

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

It is a self number, because there is not a number *n* which added to its sum of digits gives 421824.

It is a congruent number.

It is an unprimeable number.

421824 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32442 + ... + 32454.

It is an arithmetic number, because the mean of its divisors is an integer number (21590).

2^{421824} 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 421824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604520).

421824 is an abundant number, since it is smaller than the sum of its proper divisors (787216).

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

421824 is an equidigital number, since it uses as much as digits as its factorization.

421824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 18 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 421824 is about 649.4797918334. The cubic root of 421824 is about 74.9969776560.

The spelling of 421824 in words is "four hundred twenty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 169 192 208 312 338 416 507 624 676 832 1014 1248 1352 2028 2197 2496 2704 4056 4394 5408 6591 8112 8788 10816 13182 16224 17576 26364 32448 35152 52728 70304 105456 140608 210912 421824

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