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

bin | 1001110011111… |

… | …11100010100000 |

3 | 12201212211220201 |

4 | 10321333202200 |

5 | 132032430303 |

6 | 12100114544 |

7 | 2016430501 |

oct | 471774240 |

9 | 181784821 |

10 | 82311328 |

11 | 4250a7a0 |

12 | 23695a54 |

13 | 1408c438 |

14 | ad08ba8 |

15 | 735d81d |

hex | 4e7f8a0 |

82311328 has 48 divisors (see below), whose sum is σ = 177829344. Its totient is φ = 37192960.

The previous prime is 82311289. The next prime is 82311329.

82311328 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 82311296 and 82311305.

It is not an unprimeable number, because it can be changed into a prime (82311329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68751 + ... + 69937.

It is an arithmetic number, because the mean of its divisors is an integer number (3704778).

Almost surely, 2^{82311328} is an apocalyptic number.

82311328 is a gapful number since it is divisible by the number (88) 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 82311328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88914672).

82311328 is an abundant number, since it is smaller than the sum of its proper divisors (95518016).

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

82311328 is a wasteful number, since it uses less digits than its factorization.

82311328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1397 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 82311328 is about 9072.5590656661. The cubic root of 82311328 is about 434.9972748321.

It can be divided in two parts, 8231 and 1328, that added together give a palindrome (9559).

The spelling of 82311328 in words is "eighty-two million, three hundred eleven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 197 352 394 788 1187 1576 2167 2374 3152 4334 4748 6304 8668 9496 13057 17336 18992 26114 34672 37984 52228 69344 104456 208912 233839 417824 467678 935356 1870712 2572229 3741424 5144458 7482848 10288916 20577832 41155664 82311328

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