Tuesday, May 16, 2017

Number of the day: 261497

Pafnuty Lvovich Chebyshev was born on this day 196 years ago.

Properties of the number 261497:

261497 is a cyclic number.
261497 = 19 × 13763 is semiprime and squarefree.
261497 has 2 distinct prime factors, 4 divisors, 19 antidivisors and 247716 totatives.
261497 has a prime digit sum 29 in base 10.
Reversing the decimal digits of 261497 results in a sphenic number.
261497 = 1307492 - 1307482 = 68912 - 68722 is the difference of 2 nonnegative squares in 2 ways.
261497 is the difference of 2 positive pentagonal numbers in 2 ways.
261497 = 272 + 522 + 5082 is the sum of 3 positive squares.
2614972 is the sum of 3 positive squares.
261497 is a proper divisor of 157126 - 1.
261497 = '26' + '1497' is the concatenation of 2 emirpimes.
261497 is an emirpimes in (at least) the following bases: 2, 3, 4, 6, 7, 11, 17, 21, 22, 29, 30, 31, 32, 39, 41, 43, 49, 51, 57, 58, 60, 63, 71, 76, 79, 83, 84, 87, 90, 92, 93, 94, 95, 97, and 98.
261497 is palindromic in (at least) the following bases: -75, and -85.
261497 in base 44 = 3335 and consists of only the digits '3' and '5'.

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