Number of the day: 47643

John von Neumann was born on this day 114 years ago.

Properties of the number 47643:

47643 is a cyclic number.
47643 = 3 × 15881 is semiprime and squarefree.
47643 has 2 distinct prime factors, 4 divisors, 17 antidivisors and 31760 totatives.
47643 has a triangular digit product 2016 in base 10.
Reversing the decimal digits of 47643 results in a sphenic number.
47643 = 23822² - 23821² = 7942² - 7939² is the difference of 2 nonnegative squares in 2 ways.
47643 is the sum of 2 positive triangular numbers.
47643 is the difference of 2 positive pentagonal numbers in 1 way.
47643 = 5² + 23² + 217² is the sum of 3 positive squares.
47643² = 12000² + 46107² is the sum of 2 positive squares in 1 way.
47643² is the sum of 3 positive squares.
47643 is a proper divisor of 1933⁴⁰ - 1.
47643 = '47' + '643' is the concatenation of 2 prime numbers.
47643 is an emirpimes in (at least) the following bases: 3, 6, 8, 9, 15, 16, 21, 33, 34, 37, 41, 47, 51, 53, 60, 69, 78, 80, 81, 89, 96, and 97.
47643 in base 45 = NNX and consists of only the digits 'N' and 'X'.

The number 47643 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A157443: 121n^2 - 38n + 3.
A188475: (2*n^3 + 3*n^2 + n + 3)/3.
A224257: Number of nX3 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing