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

bin | 1111010100001… |

… | …1101001100001 |

3 | 11110212202000121 |

4 | 3311003221201 |

5 | 112421141400 |

6 | 10212520241 |

7 | 1410014200 |

oct | 365035141 |

9 | 143782017 |

10 | 64240225 |

11 | 332976a5 |

12 | 19620081 |

13 | 10402c8a |

14 | 8763237 |

15 | 598e21a |

hex | 3d43a61 |

64240225 has 27 divisors (see below), whose sum is σ = 93069657. Its totient is φ = 43858080.

The previous prime is 64240223. The next prime is 64240247. The reversal of 64240225 is 52204246.

The square root of 64240225 is 8015.

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

64240225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8767521 + 55472704 = 2961^2 + 7448^2 .

It is not a de Polignac number, because 64240225 - 2^{1} = 64240223 is a prime.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number *n* which added to its sum of digits gives 64240225.

It is not an unprimeable number, because it can be changed into a prime (64240223) 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 26 ways as a sum of consecutive naturals, for example, 280411 + ... + 280639.

Almost surely, 2^{64240225} is an apocalyptic number.

64240225 is the 8015-th square number.

64240225 is the 4008-th centered octagonal number.

It is an amenable number.

64240225 is a deficient number, since it is larger than the sum of its proper divisors (28829432).

64240225 is an equidigital number, since it uses as much as digits as its factorization.

64240225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The cubic root of 64240225 is about 400.4998438801.

Multiplying 64240225 by its sum of digits (25), we get a square (1606005625 = 40075^{2}).

64240225 divided by its sum of digits (25) gives a square (2569609 = 1603^{2}).

The spelling of 64240225 in words is "sixty-four million, two hundred forty thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 229 245 1145 1225 1603 5725 8015 11221 40075 52441 56105 262205 280525 367087 1311025 1835435 2569609 9177175 12848045 64240225

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