Thursday, August 17, 2017

Number of the day: 412485

Pierre de Fermat was born on this day 416 years ago.

Properties of the number 412485:

412485 is a cyclic number.
412485 = 3 × 5 × 107 × 257 is the 377675th composite number and is squarefree.
412485 has 4 distinct prime factors, 16 divisors, 23 antidivisors and 217088 totatives.
Reversing the decimal digits of 412485 results in a sphenic number.
412485 = 2062432 - 2062422 = 687492 - 687462 = 412512 - 412462 = 137572 - 137422 = 19812 - 18742 = 9312 - 6742 = 8032 - 4822 = 6532 - 1182 is the difference of 2 nonnegative squares in 8 ways.
412485 is the difference of 2 positive pentagonal numbers in 3 ways.
412485 = 202 + 712 + 6382 is the sum of 3 positive squares.
4124852 = 2044772 + 3582362 = 513602 + 4092752 = 2866532 + 2966042 = 2474912 + 3299882 is the sum of 2 positive squares in 4 ways.
4124852 is the sum of 3 positive squares.
412485 is a proper divisor of 64316 - 1.
412485 is palindromic in (at least) base -92.

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