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

bin | 1011111010111100001 |

3 | 201211211121 |

4 | 1133113201 |

5 | 100000000 |

6 | 12212241 |

7 | 3214564 |

oct | 1372741 |

9 | 654747 |

10 | 390625 |

11 | 247534 |

12 | 16a081 |

13 | 108a51 |

14 | a24db |

15 | 7ab1a |

hex | 5f5e1 |

390625 has 9 divisors (see below), whose sum is σ = 488281. Its totient is φ = 312500.

The previous prime is 390581. The next prime is 390647. The reversal of 390625 is 526093.

Multipling 390625 by its sum of digits (25), we get a 10-th power (9765625 = 5^{10}).

390625 divided by its sum of digits (25) gives a 6-th power (15625 = 5^{6}).

The square root of 390625 is 625.

It is a perfect power (a square, a biquadrate, a 8-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 277729 + 112896 = 527^2 + 336^2 .

It is a trimorphic number since its cube, 59604644775390625, ends in 390625.

It is not a de Polignac number, because 390625 - 2^{9} = 390113 is a prime.

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

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 5.

It is a self number, because there is not a number *n* which added to its sum of digits gives 390625.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 78123 + ... + 78127.

390625 is a Friedman number, since it can be written as 5^(9-6+3+2+0), using all its digits and the basic arithmetic operations.

2^{390625} is an apocalyptic number.

390625 is the 625-th square number.

390625 is the 313-rd centered octagonal number.

It is an amenable number.

390625 is a deficient number, since it is larger than the sum of its proper divisors (97656).

390625 is an frugal number, since it uses more digits than its factorization.

390625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The cubic root of 390625 is about 73.1004434553.

The spelling of 390625 in words is "three hundred ninety thousand, six hundred twenty-five".

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