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

bin | 10110010011110010001 |

3 | 1101010210000 |

4 | 2302132101 |

5 | 141343100 |

6 | 23400213 |

7 | 6133161 |

oct | 2623621 |

9 | 1333700 |

10 | 731025 |

11 | 45a259 |

12 | 2b3069 |

13 | 1c7979 |

14 | 1505a1 |

15 | e6900 |

hex | b2791 |

731025 has 45 divisors (see below), whose sum is σ = 1429131. Its totient is φ = 369360.

The previous prime is 730999. The next prime is 731033. The reversal of 731025 is 520137.

The square root of 731025 is 855.

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

731025 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 only one way, i.e., 263169 + 467856 = 513^2 + 684^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 731025 - 2^{5} = 730993 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

731025 is a lucky number.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 730989 and 731007.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 731025.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 38466 + ... + 38484.

2^{731025} is an apocalyptic number.

731025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

731025 is the 855-th square number.

731025 is the 428-th centered octagonal number.

It is an amenable number.

731025 is a deficient number, since it is larger than the sum of its proper divisors (698106).

731025 is a wasteful number, since it uses less digits than its factorization.

731025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The cubic root of 731025 is about 90.0832562917.

The spelling of 731025 in words is "seven hundred thirty-one thousand, twenty-five".

Divisors: 1 3 5 9 15 19 25 27 45 57 75 81 95 135 171 225 285 361 405 475 513 675 855 1083 1425 1539 1805 2025 2565 3249 4275 5415 7695 9025 9747 12825 16245 27075 29241 38475 48735 81225 146205 243675 731025

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