Sunday, August 7, 2016

Number of the day: 62045

Properties of the number 62045:

62045 = 5 × 12409 is semiprime and squarefree.
62045 has 2 distinct prime factors, 4 divisors, 23 antidivisors and 49632 totatives.
62045 has an emirp digit sum 17 in base 10.
62045 = 310232 - 310222 = 62072 - 62022 is the difference of 2 nonnegative squares in 2 ways.
62045 is the difference of 2 positive pentagonal numbers in 2 ways.
62045 = 982 + 2292 = 592 + 2422 is the sum of 2 positive squares in 2 ways.
62045 = 102 + 212 + 2482 is the sum of 3 positive squares.
620452 = 285562 + 550832 = 102052 + 612002 = 428372 + 448842 = 372272 + 496362 is the sum of 2 positive squares in 4 ways.
620452 is the sum of 3 positive squares.
62045 is a divisor of 7738 - 1.
62045 = '6' + '2045' is the concatenation of 2 semiprime numbers.
62045 is an emirpimes in (at least) the following bases: 2, 5, 8, 11, 17, 22, 29, 30, 32, 33, 40, 42, 49, 59, 60, 65, 67, 73, 75, 82, and 93.
62045 is palindromic in (at least) base -69.

The number 62045 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A027154: a(n) = Sum{T(n-k,k)}, 0<=k<=[ n/2 ], T given by A027144.

No comments:

Post a Comment