Number of the day: 64844

Properties of the number 64844:

64844 = 2² × 13 × 29 × 43 is the 58364^th composite number and is not squarefree.
64844 has 4 distinct prime factors, 24 divisors, 19 antidivisors and 28224 totatives.
64844 has an emirpimes digit sum 26 in base 10.
Reversing the decimal digits of 64844 results in a sphenic number.
64844 = (32 × 33)/2 + … + (74 × 75)/2 is the sum of at least 2 consecutive triangular numbers in 1 way.
64844 = 16212² - 16210² = 1260² - 1234² = 588² - 530² = 420² - 334² is the difference of 2 nonnegative squares in 4 ways.
64844 is the difference of 2 positive pentagonal numbers in 3 ways.
64844 = 2² + 18² + 254² is the sum of 3 positive squares.
64844² = 26144² + 59340² = 24940² + 59856² = 23220² + 60544² = 44720² + 46956² is the sum of 2 positive squares in 4 ways.
64844² is the sum of 3 positive squares.
64844 is a proper divisor of 173⁶ - 1.
64844 is palindromic in (at least) the following bases: 46, 77, and -63.
64844 in base 41 = cNN and consists of only the digits 'N' and 'c'.
64844 in base 46 = UTU and consists of only the digits 'T' and 'U'.

The number 64844 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A209489: Number of partitions of 1 into rational parts a/b satisfying 0<a<b<=n.