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

bin | 10000000101000000000000 |

3 | 21221010121010 |

4 | 100011000000 |

5 | 2034333114 |

6 | 230200520 |

7 | 50553000 |

oct | 20050000 |

9 | 7833533 |

10 | 4214784 |

11 | 24196a2 |

12 | 14b3140 |

13 | b47572 |

14 | 7ba000 |

15 | 583c59 |

hex | 405000 |

4214784 has 104 divisors (see below), whose sum is σ = 13105600. Its totient is φ = 1204224.

The previous prime is 4214779. The next prime is 4214807. The reversal of 4214784 is 4874124.

It is an ABA number since it can be written as A⋅B^{A}, here for A=3, B=112.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 602109 + ... + 602115.

Almost surely, 2^{4214784} is an apocalyptic number.

4214784 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4214784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552800).

4214784 is an abundant number, since it is smaller than the sum of its proper divisors (8890816).

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

4214784 is an frugal number, since it uses more digits than its factorization.

4214784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 12 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 4214784 is about 2052.9939113402. The cubic root of 4214784 is about 161.5319518744.

The spelling of 4214784 in words is "four million, two hundred fourteen thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 343 384 392 448 512 588 672 686 768 784 896 1024 1029 1176 1344 1372 1536 1568 1792 2048 2058 2352 2688 2744 3072 3136 3584 4096 4116 4704 5376 5488 6144 6272 7168 8232 9408 10752 10976 12288 12544 14336 16464 18816 21504 21952 25088 28672 32928 37632 43008 43904 50176 65856 75264 86016 87808 100352 131712 150528 175616 200704 263424 301056 351232 526848 602112 702464 1053696 1404928 2107392 4214784

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