Number of the day: 475

Sir Isaac Newton was born on this day 376 years ago.

Properties of the number 475:

475 = 5² × 19 is the 383^th composite number and is not squarefree.
475 has 2 distinct prime factors, 6 divisors, 9 antidivisors and 360 totatives.
Reversing the decimal digits of 475 results in a sphenic number.
475 = 238² - 237² = 50² - 45² = 22² - 3² is the difference of 2 nonnegative squares in 3 ways.
475 is the sum of 2 positive triangular numbers.
475 is the difference of 2 positive pentagonal numbers in 2 ways.
475 is the difference of 2 positive pentagonal pyramidal numbers in 1 way.
475 = 3² + 5² + 21² is the sum of 3 positive squares.
475² = 285² + 380² = 133² + 456² is the sum of 2 positive squares in 2 ways.
475² is the sum of 3 positive squares.
475 is a proper divisor of 151² - 1.
475 = '47' + '5' is the concatenation of 2 prime numbers.
475 is palindromic in (at least) the following bases: 24, 94, -10, and -79.
475 in base 3 = 122121 and consists of only the digits '1' and '2'.
475 in base 6 = 2111 and consists of only the digits '1' and '2'.
475 in base 8 = 733 and consists of only the digits '3' and '7'.
475 in base 9 = 577 and consists of only the digits '5' and '7'.
475 in base 12 = 337 and consists of only the digits '3' and '7'.
475 in base 21 = 11d and consists of only the digits '1' and 'd'.

The number 475 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A005282: Mian-Chowla sequence (a B_2 sequence): a(1) = 1; for n>1, a(n) = smallest number > a(n-1) such that the pairwise sums of elements are all distinct.
A005728: Number of fractions in Farey series of order n.
A028560: a(n) = n*(n + 6), also numbers a(n) such that 9*(9 + a(n)) is a perfect square.
A061039: Numerator of 1/9 - 1/n^2.
A299267: Partial sums of A299266.
A301697: Coordination sequence for node of type V2 in "krj" 2-D tiling (or net).
A301712: Coordination sequence for node of type V1 in "usm" 2-D tiling (or net).
A301722: Coordination sequence for node of type V2 in "krb" 2-D tiling (or net).
A301726: Coordination sequence for node of type V2 in "kra" 2-D tiling (or net).
A304716: Number of integer partitions of n whose distinct parts are connected.