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

bin | 11111111110100000000000 |

3 | 120202212120122 |

4 | 133332200000 |

5 | 4121214324 |

6 | 455355412 |

7 | 131151446 |

oct | 37764000 |

9 | 16685518 |

10 | 8382464 |

11 | 4805962 |

12 | 2982b68 |

13 | 197654c |

14 | 1182b96 |

15 | b08a5e |

hex | 7fe800 |

8382464 has 24 divisors (see below), whose sum is σ = 16764930. Its totient is φ = 4190208.

The previous prime is 8382457. The next prime is 8382467. The reversal of 8382464 is 4642838.

It can be written as a sum of positive squares in only one way, i.e., 7398400 + 984064 = 2720^2 + 992^2 .

8382464 is an admirable number.

It is a super-2 number, since 2×8382464^{2} = 140531405422592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8382467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2 + ... + 4094.

Almost surely, 2^{8382464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8382464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8382465).

8382464 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

8382464 is an equidigital number, since it uses as much as digits as its factorization.

8382464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115 (or 4095 counting only the distinct ones).

The product of its digits is 36864, while the sum is 35.

The square root of 8382464 is about 2895.2485212845. The cubic root of 8382464 is about 203.1377162532.

The spelling of 8382464 in words is "eight million, three hundred eighty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4093 8186 16372 32744 65488 130976 261952 523904 1047808 2095616 4191232 8382464

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