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

bin | 1001111100101… |

… | …01000100000000 |

3 | 12211000121020001 |

4 | 10332111010000 |

5 | 132330314224 |

6 | 12140325344 |

7 | 2032203550 |

oct | 476250400 |

9 | 184017201 |

10 | 83448064 |

11 | 43116847 |

12 | 23b43854 |

13 | 1439996b |

14 | b123160 |

15 | 74d5544 |

hex | 4f95100 |

83448064 has 36 divisors (see below), whose sum is σ = 190369984. Its totient is φ = 35762688.

The previous prime is 83448047. The next prime is 83448067. The reversal of 83448064 is 46084438.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (83448067) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21492 + ... + 25075.

Almost surely, 2^{83448064} is an apocalyptic number.

It is an amenable number.

83448064 is an abundant number, since it is smaller than the sum of its proper divisors (106921920).

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

83448064 is an equidigital number, since it uses as much as digits as its factorization.

83448064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46590 (or 46576 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The square root of 83448064 is about 9134.9911877352. The cubic root of 83448064 is about 436.9905933843.

The spelling of 83448064 in words is "eighty-three million, four hundred forty-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 46567 93134 186268 325969 372536 651938 745072 1303876 1490144 2607752 2980288 5215504 5960576 10431008 11921152 20862016 41724032 83448064

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