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

bin | 1110111100110100000 |

3 | 220220000000 |

4 | 1313212200 |

5 | 111134023 |

6 | 14300000 |

7 | 4110150 |

oct | 1674640 |

9 | 826000 |

10 | 489888 |

11 | 305073 |

12 | 1b7600 |

13 | 141c99 |

14 | ca760 |

15 | 9a243 |

hex | 779a0 |

489888 has 96 divisors (see below), whose sum is σ = 1653120. Its totient is φ = 139968.

The previous prime is 489887. The next prime is 489901. The reversal of 489888 is 888984.

It is a tau number, because it is divible by the number of its divisors (96).

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

Its product of digits (147456) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 489888.

It is not an unprimeable number, because it can be changed into a prime (489887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69981 + ... + 69987.

It is an arithmetic number, because the mean of its divisors is an integer number (17220).

2^{489888} is an apocalyptic number.

489888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 489888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826560).

489888 is an abundant number, since it is smaller than the sum of its proper divisors (1163232).

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

489888 is an frugal number, since it uses more digits than its factorization.

489888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 12 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 489888 is about 699.9199954280. The cubic root of 489888 is about 78.8313445180.

The spelling of 489888 in words is "four hundred eighty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 729 756 864 972 1008 1134 1296 1458 1512 1701 1944 2016 2187 2268 2592 2916 3024 3402 3888 4374 4536 5103 5832 6048 6804 7776 8748 9072 10206 11664 13608 15309 17496 18144 20412 23328 27216 30618 34992 40824 54432 61236 69984 81648 122472 163296 244944 489888

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