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

bin | 1000101110001001000 |

3 | 112112000000 |

4 | 1011301020 |

5 | 33121033 |

6 | 10043000 |

7 | 2300100 |

oct | 1056110 |

9 | 475000 |

10 | 285768 |

11 | 18577a |

12 | 119460 |

13 | a00c2 |

14 | 76200 |

15 | 59a13 |

hex | 45c48 |

285768 has 84 divisors (see below), whose sum is σ = 934515. Its totient is φ = 81648.

The previous prime is 285767. The next prime is 285773. The reversal of 285768 is 867582.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 142884 + 142884 = 378^2 + 378^2 .

It is a tau number, because it is divible by the number of its divisors (84).

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=378.

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

It is a d-powerful number, because it can be written as **2**^{8} + **8**^{3} + **7**^{3} + **5**^{4} + **6**^{7} + **8**^{4} .

Its product of digits (26880) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (285763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 40821 + ... + 40827.

285768 is a Friedman number, since it can be written as 8*7^2*(8-5)^6, using all its digits and the basic arithmetic operations.

2^{285768} is an apocalyptic number.

285768 is a gapful number since it is divisible by the number (28) 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 285768

285768 is an abundant number, since it is smaller than the sum of its proper divisors (648747).

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

285768 is an equidigital number, since it uses as much as digits as its factorization.

285768 is an odious number, because the sum of its binary digits is odd.

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

The product of its digits is 26880, while the sum is 36.

The square root of 285768 is about 534.5727265770. The cubic root of 285768 is about 65.8675027804.

The spelling of 285768 in words is "two hundred eighty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 243 252 294 324 378 392 441 486 504 567 588 648 729 756 882 972 1134 1176 1323 1458 1512 1701 1764 1944 2268 2646 2916 3402 3528 3969 4536 5103 5292 5832 6804 7938 10206 10584 11907 13608 15876 20412 23814 31752 35721 40824 47628 71442 95256 142884 285768

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