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

bin | 1001110101010… |

… | …10011000101000 |

3 | 12202012202122120 |

4 | 10322222120220 |

5 | 132104034244 |

6 | 12103551240 |

7 | 2021061240 |

oct | 472523050 |

9 | 182182576 |

10 | 82486824 |

11 | 4261a632 |

12 | 2375b520 |

13 | 14121294 |

14 | ad52b20 |

15 | 7395819 |

hex | 4eaa628 |

82486824 has 32 divisors (see below), whose sum is σ = 235677120. Its totient is φ = 23567616.

The previous prime is 82486813. The next prime is 82486837. The reversal of 82486824 is 42868428.

It is a super-2 number, since 2×82486824^{2} = 13608152267213952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245329 + ... + 245664.

It is an arithmetic number, because the mean of its divisors is an integer number (7364910).

Almost surely, 2^{82486824} is an apocalyptic number.

82486824 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82486824 is an abundant number, since it is smaller than the sum of its proper divisors (153190296).

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

82486824 is a wasteful number, since it uses less digits than its factorization.

82486824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491009 (or 491005 counting only the distinct ones).

The product of its digits is 196608, while the sum is 42.

The square root of 82486824 is about 9082.2257184018. The cubic root of 82486824 is about 435.3062079714.

The spelling of 82486824 in words is "eighty-two million, four hundred eighty-six thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 490993 981986 1472979 1963972 2945958 3436951 3927944 5891916 6873902 10310853 11783832 13747804 20621706 27495608 41243412 82486824

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