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

bin | 110000011111000… |

… | …011100100010001 |

3 | 2002200122102010000 |

4 | 300133003210101 |

5 | 3131220304231 |

6 | 212415000213 |

7 | 26105121612 |

oct | 6037034421 |

9 | 2080572100 |

10 | 813447441 |

11 | 388196114 |

12 | 1a8509069 |

13 | cc6b0961 |

14 | 7a069c09 |

15 | 4b6316e6 |

hex | 307c3911 |

813447441 has 15 divisors (see below), whose sum is σ = 1215533451. Its totient is φ = 542127168.

The previous prime is 813447407. The next prime is 813447461. The reversal of 813447441 is 144744318.

It is a happy number.

The square root of 813447441 is 28521.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 672313041 + 141134400 = 25929^2 + 11880^2 .

It is not a de Polignac number, because 813447441 - 2^{17} = 813316369 is a prime.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 813447396 and 813447405.

It is not an unprimeable number, because it can be changed into a prime (813447461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 255105 + ... + 258273.

Almost surely, 2^{813447441} is an apocalyptic number.

813447441 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

813447441 is the 28521-st square number.

813447441 is the 14261-st centered octagonal number.

It is an amenable number.

813447441 is a deficient number, since it is larger than the sum of its proper divisors (402086010).

813447441 is an frugal number, since it uses more digits than its factorization.

813447441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6350 (or 3172 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The cubic root of 813447441 is about 933.4903492496.

Multiplying 813447441 by its sum of digits (36), we get a square (29284107876 = 171126^{2}).

The spelling of 813447441 in words is "eight hundred thirteen million, four hundred forty-seven thousand, four hundred forty-one".

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