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

bin | 10000000000000000000 |

3 | 222122012002 |

4 | 2000000000 |

5 | 113234123 |

6 | 15123132 |

7 | 4312352 |

oct | 2000000 |

9 | 878162 |

10 | 524288 |

11 | 3289a6 |

12 | 2134a8 |

13 | 15483b |

14 | d90d2 |

15 | a5528 |

hex | 80000 |

524288 has 20 divisors (see below), whose sum is σ = 1048575. Its totient is φ = 262144.

The previous prime is 524287. The next prime is 524309. The reversal of 524288 is 882425.

It is a perfect power (a 19-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (2!)^{19}.

It can be written as a sum of positive squares in only one way, i.e., 262144 + 262144 = 512^2 + 512^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=8, B=4.

It is a Duffinian number.

Its product of digits (5120) is a multiple of the sum of its prime divisors (2).

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is a self number, because there is not a number *n* which added to its sum of digits gives 524288.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 524288.

It is not an unprimeable number, because it can be changed into a prime (524287) by changing a digit.

In principle, a polygon with 524288 sides can be constructed with ruler and compass.

It is an impolite number, since it cannot be written as a nontrivial sum of consecutive naturals.

524288 is a Friedman number, since it can be written as (8+8)*(4+2+2)^5, using all its digits and the basic arithmetic operations.

2^{524288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 524288

524288 is a deficient number, since it is larger than the sum of its proper divisors (524287).

524288 is an frugal number, since it uses more digits than its factorization.

524288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 2 counting only the distinct ones).

The product of its digits is 5120, while the sum is 29.

The square root of 524288 is about 724.0773439350. The cubic root of 524288 is about 80.6349471933.

The spelling of 524288 in words is "five hundred twenty-four thousand, two hundred eighty-eight".

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