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

bin | 1111001100000000000 |

3 | 221021200000 |

4 | 1321200000 |

5 | 111411124 |

6 | 14400000 |

7 | 4141626 |

oct | 1714000 |

9 | 837600 |

10 | 497664 |

11 | 30a9a2 |

12 | 200000 |

13 | 14569b |

14 | cd516 |

15 | 9c6c9 |

hex | 79800 |

497664 has 72 divisors (see below), whose sum is σ = 1490580. Its totient is φ = 165888.

The previous prime is 497663. The next prime is 497671. The reversal of 497664 is 466794.

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 is a Jordan-Polya number, since it can be written as (4!)^{3} ⋅ (3!)^{2}.

497664 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 13.

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497663) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 165887 + 165888 + 165889.

497664 is a Friedman number, since it can be written as (9*(4+4))^6/6^7, using all its digits and the basic arithmetic operations.

2^{497664} 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 497664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745290).

497664 is an abundant number, since it is smaller than the sum of its proper divisors (992916).

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

497664 is an frugal number, since it uses more digits than its factorization.

497664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 5 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 497664 is about 705.4530459216. The cubic root of 497664 is about 79.2462539735.

497664 divided by its sum of digits (36) gives a cube (13824 = 24^{3}).

It can be divided in two parts, 49766 and 4, that added together give a triangular number (49770 = T_{315}).

The spelling of 497664 in words is "four hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2048 2304 2592 3072 3456 3888 4608 5184 6144 6912 7776 9216 10368 13824 15552 18432 20736 27648 31104 41472 55296 62208 82944 124416 165888 248832 497664

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