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

bin | 101000010010111… |

… | …011110000100001 |

3 | 1202010010000000000 |

4 | 220102323300201 |

5 | 2341032131001 |

6 | 151030050213 |

7 | 22516230042 |

oct | 5022736041 |

9 | 1663100000 |

10 | 676052001 |

11 | 317682969 |

12 | 16a4a9969 |

13 | aa0a5c91 |

14 | 65b028c9 |

15 | 3e541a86 |

hex | 284bbc21 |

676052001 has 33 divisors (see below), whose sum is σ = 1023638161. Its totient is φ = 446489172.

The previous prime is 676051979. The next prime is 676052011. The reversal of 676052001 is 100250676.

The square root of 676052001 is 26001.

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

It is not a de Polignac number, because 676052001 - 2^{5} = 676051969 is a prime.

It is a super-3 number, since 3×676052001^{3} (a number of 27 digits) contains 333 as substring. Note that it is a super-*d* number also for *d* = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (676052011) 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 32 ways as a sum of consecutive naturals, for example, 6318190 + ... + 6318296.

Almost surely, 2^{676052001} is an apocalyptic number.

676052001 is the 26001-st square number.

676052001 is the 13001-st centered octagonal number.

It is an amenable number.

676052001 is a deficient number, since it is larger than the sum of its proper divisors (347586160).

676052001 is an frugal number, since it uses more digits than its factorization.

676052001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The cubic root of 676052001 is about 877.6607989347.

The spelling of 676052001 in words is "six hundred seventy-six million, fifty-two thousand, one".

Divisors: 1 3 9 27 81 107 243 321 729 963 2187 2889 6561 8667 11449 19683 26001 34347 59049 78003 103041 234009 309123 702027 927369 2106081 2782107 6318243 8346321 25038963 75116889 225350667 676052001

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