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

bin | 110011111111111… |

… | …111111111111111 |

3 | 2020210121021201020 |

4 | 303333333333333 |

5 | 3241314241411 |

6 | 222322515223 |

7 | 30422256432 |

oct | 6377777777 |

9 | 2223537636 |

10 | 872415231 |

11 | 408501526 |

12 | 204205b13 |

13 | 10b988b3c |

14 | 83c19819 |

15 | 518cd606 |

hex | 33ffffff |

872415231 has 16 divisors (see below), whose sum is σ = 1285196544. Its totient is φ = 523597184.

The previous prime is 872415211. The next prime is 872415239. The reversal of 872415231 is 132514278.

It is a cyclic number.

It is not a de Polignac number, because 872415231 - 2^{14} = 872398847 is a prime.

It is a super-2 number, since 2×872415231^{2} = 1522216670561566722, which contains 22 as substring.

It is a plaindrome in base 16.

It is a zygodrome in base 2 and base 16.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 872415192 and 872415201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872415239) by changing a digit.

Being equal to 13×4^{13}-1, it is a generalized Woodall number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370701 + ... + 373046.

It is an arithmetic number, because the mean of its divisors is an integer number (80324784).

Almost surely, 2^{872415231} is an apocalyptic number.

872415231 is a deficient number, since it is larger than the sum of its proper divisors (412781313).

872415231 is a wasteful number, since it uses less digits than its factorization.

872415231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743790.

The product of its digits is 13440, while the sum is 33.

The square root of 872415231 is about 29536.6760316729. The cubic root of 872415231 is about 955.5228557801.

The spelling of 872415231 in words is "eight hundred seventy-two million, four hundred fifteen thousand, two hundred thirty-one".

Divisors: 1 3 17 23 51 69 391 1173 743747 2231241 12643699 17106181 37931097 51318543 290805077 872415231

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