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

bin | 1110010011000100000 |

3 | 212210200022 |

4 | 1302120200 |

5 | 104443022 |

6 | 14013012 |

7 | 3660632 |

oct | 1623040 |

9 | 783608 |

10 | 468512 |

11 | 2a0000 |

12 | 1a7168 |

13 | 135335 |

14 | c2a52 |

15 | 93c42 |

hex | 72620 |

468512 has 30 divisors (see below), whose sum is σ = 1014615. Its totient is φ = 212960.

The previous prime is 468509. The next prime is 468527. The reversal of 468512 is 215864.

It can be divided in two parts, 46 and 8512, that added together give a palindrome (8558).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 234256 + 234256 = 484^2 + 484^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=484.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 42587 + ... + 42597.

468512 is a Friedman number, since it can be written as (6*5-8)^4*2*1, using all its digits and the basic arithmetic operations.

2^{468512} 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 468512

468512 is an abundant number, since it is smaller than the sum of its proper divisors (546103).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

468512 is an frugal number, since it uses more digits than its factorization.

468512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 13 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 468512 is about 684.4793641886. The cubic root of 468512 is about 77.6676633772.

The spelling of 468512 in words is "four hundred sixty-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1331 1936 2662 3872 5324 10648 14641 21296 29282 42592 58564 117128 234256 468512

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