Christopher Zeeman was born on this day 96 years ago.
Properties of the number 405029:
405029 is a cyclic number.405029 is the 34225th prime.
405029 has 7 antidivisors and 405028 totatives.
405029 has an oblong digit sum 20 in base 10.
405029 = 2025152 - 2025142 is the difference of 2 nonnegative squares in 1 way.
405029 is the sum of 2 positive triangular numbers.
405029 is the difference of 2 positive pentagonal numbers in 1 way.
405029 = 1302 + 6232 is the sum of 2 positive squares in 1 way.
405029 = 822 + 1832 + 6042 is the sum of 3 positive squares.
4050292 = 1619802 + 3712292 is the sum of 2 positive squares in 1 way.
4050292 is the sum of 3 positive squares.
405029 is a proper divisor of 317789 - 1.
405029 is an emirp in (at least) the following bases: 2, 3, 4, 11, 15, 29, 31, 43, 49, 50, 53, 69, 70, 71, 80, 94, and 97.
405029 is palindromic in (at least) the following bases: 95, -86, and -88.