Sunday, September 17, 2017

Number of the day: 85501

Bernhard Riemann was born on this day 191 years ago.

Properties of the number 85501:

85501 is a cyclic number.
85501 = 13 × 6577 is semiprime and squarefree.
85501 has 2 distinct prime factors, 4 divisors, 19 antidivisors and 78912 totatives.
85501 has a prime digit sum 19 in base 10.
Reversing the decimal digits of 85501 results in an emirpimes.
85501 = 427512 - 427502 = 32952 - 32822 is the difference of 2 nonnegative squares in 2 ways.
85501 is the sum of 2 positive triangular numbers.
85501 is the difference of 2 positive pentagonal numbers in 2 ways.
85501 = 1742 + 2352 = 1502 + 2512 is the sum of 2 positive squares in 2 ways.
85501 = 212 + 462 + 2882 is the sum of 3 positive squares.
855012 = 249492 + 817802 = 84242 + 850852 = 405012 + 753002 = 328852 + 789242 is the sum of 2 positive squares in 4 ways.
855012 is the sum of 3 positive squares.
85501 is a proper divisor of 35312 - 1.
85501 = '85' + '501' is the concatenation of 2 semiprime numbers.
85501 is an emirpimes in (at least) the following bases: 2, 8, 9, 10, 13, 21, 27, 28, 31, 35, 36, 37, 38, 39, 40, 42, 44, 45, 49, 53, 54, 58, 66, 71, 78, 80, 81, 83, 85, 86, 87, 88, 89, and 97.
85501 is palindromic in (at least) the following bases: -14, and -71.
85501 in base 14 = 23233 and consists of only the digits '2' and '3'.

No comments:

Post a Comment