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

bin | 100000000100… |

… | …000000000000 |

3 | 120211000111000 |

4 | 200010000000 |

5 | 4122424432 |

6 | 500052000 |

7 | 131304231 |

oct | 40040000 |

9 | 16730430 |

10 | 8404992 |

11 | 4820882 |

12 | 2994000 |

13 | 198388b |

14 | 118b088 |

15 | b1057c |

hex | 804000 |

8404992 has 120 divisors (see below), whose sum is σ = 26213600. Its totient is φ = 2654208.

The previous prime is 8404969. The next prime is 8404993. The reversal of 8404992 is 2994048.

It can be divided in two parts, 840 and 4992, that added together give a cube (5832 = 18^{3}).

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (8404993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442359 + ... + 442377.

Almost surely, 2^{8404992} is an apocalyptic number.

8404992 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 8404992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13106800).

8404992 is an abundant number, since it is smaller than the sum of its proper divisors (17808608).

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

8404992 is an equidigital number, since it uses as much as digits as its factorization.

8404992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8404992 is about 2899.1364231440. The cubic root of 8404992 is about 203.3195320442.

The spelling of 8404992 in words is "eight million, four hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 512 513 576 608 684 768 864 912 1024 1026 1152 1216 1368 1536 1728 1824 2048 2052 2304 2432 2736 3072 3456 3648 4096 4104 4608 4864 5472 6144 6912 7296 8192 8208 9216 9728 10944 12288 13824 14592 16384 16416 18432 19456 21888 24576 27648 29184 32832 36864 38912 43776 49152 55296 58368 65664 73728 77824 87552 110592 116736 131328 147456 155648 175104 221184 233472 262656 311296 350208 442368 466944 525312 700416 933888 1050624 1400832 2101248 2801664 4202496 8404992

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