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

bin | 1110000100011000000 |

3 | 212102100210 |

4 | 1300203000 |

5 | 104222432 |

6 | 13514120 |

7 | 3630000 |

oct | 1604300 |

9 | 772323 |

10 | 460992 |

11 | 295394 |

12 | 1a2940 |

13 | 131a9c |

14 | c0000 |

15 | 918cc |

hex | 708c0 |

460992 has 70 divisors (see below), whose sum is σ = 1422908. Its totient is φ = 131712.

The previous prime is 460991. The next prime is 461009. The reversal of 460992 is 299064.

Multipling 460992 by its product of nonzero digits (3888), we get a square (1792336896 = 42336^{2}).

460992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (460991) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 65853 + ... + 65859.

2^{460992} is an apocalyptic number.

460992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711454).

460992 is an abundant number, since it is smaller than the sum of its proper divisors (961916).

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

460992 is an frugal number, since it uses more digits than its factorization.

460992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 460992 is about 678.9639165670. The cubic root of 460992 is about 77.2498769387.

The spelling of 460992 in words is "four hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 343 392 448 588 672 686 784 1029 1176 1344 1372 1568 2058 2352 2401 2744 3136 4116 4704 4802 5488 7203 8232 9408 9604 10976 14406 16464 19208 21952 28812 32928 38416 57624 65856 76832 115248 153664 230496 460992

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