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

bin | 1001110111111… |

… | …01101100110000 |

3 | 12202212002202200 |

4 | 10323331230300 |

5 | 132200444310 |

6 | 12115143200 |

7 | 2024012166 |

oct | 473755460 |

9 | 182762680 |

10 | 82828080 |

11 | 42832a65 |

12 | 238a4b00 |

13 | 142106ca |

14 | b001236 |

15 | 74119c0 |

hex | 4efdb30 |

82828080 has 240 divisors, whose sum is σ = 301882464. Its totient is φ = 20275200.

The previous prime is 82828069. The next prime is 82828091. The reversal of 82828080 is 8082828.

It is an interprime number because it is at equal distance from previous prime (82828069) and next prime (82828091).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820030 + ... + 820130.

Almost surely, 2^{82828080} is an apocalyptic number.

82828080 is a gapful number since it is divisible by the number (80) 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 82828080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150941232).

82828080 is an abundant number, since it is smaller than the sum of its proper divisors (219054384).

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

82828080 is a wasteful number, since it uses less digits than its factorization.

82828080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 82828080 is about 9100.9933523764. The cubic root of 82828080 is about 435.9056833834.

The spelling of 82828080 in words is "eighty-two million, eight hundred twenty-eight thousand, eighty".

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