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

bin | 110010000000000… |

… | …000000000000001 |

3 | 2011110110112200120 |

4 | 302000000000001 |

5 | 3204222021201 |

6 | 215123410453 |

7 | 26534125212 |

oct | 6200000001 |

9 | 2143415616 |

10 | 838860801 |

11 | 3a0573599 |

12 | 1b4b23a29 |

13 | 104a3b04c |

14 | 7d5a3409 |

15 | 4d9a1536 |

hex | 32000001 |

838860801 has 16 divisors (see below), whose sum is σ = 1184932800. Its totient is φ = 526051328.

The previous prime is 838860791. The next prime is 838860817. The reversal of 838860801 is 108068838.

It is a happy number.

It is a cyclic number.

It is a Cullen number, since it is equal to 25×2^{25}+1.

It is not a de Polignac number, because 838860801 - 2^{5} = 838860769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (838860851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122065 + ... + 128753.

It is an arithmetic number, because the mean of its divisors is an integer number (74058300).

It is a Proth number, since it is equal to 25 ⋅ 2^{25} + 1 and 25 < 2^{25}.

Almost surely, 2^{838860801} is an apocalyptic number.

It is an amenable number.

838860801 is a deficient number, since it is larger than the sum of its proper divisors (346071999).

838860801 is a wasteful number, since it uses less digits than its factorization.

838860801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9168.

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 838860801 is about 28963.0937746643. The cubic root of 838860801 is about 943.1120640267.

The spelling of 838860801 in words is "eight hundred thirty-eight million, eight hundred sixty thousand, eight hundred one".

Divisors: 1 3 17 51 2459 6689 7377 20067 41803 113713 125409 341139 16448251 49344753 279620267 838860801

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