Number of the day: 4566

Properties of the number 4566:

4566 is the 1156^th totient number.
4566 = 2 × 3 × 761 is a sphenic number and squarefree.
4566 has 3 distinct prime factors, 8 divisors, 5 antidivisors and 1520 totatives.
4566 has a semiprime digit sum 21 in base 10.
4566 has a Fibonacci digit sum 21 in base 10.
4566 has a triangular digit sum 21 in base 10.
Reversing the decimal digits of 4566 results in a sphenic number.
4566 is the sum of 2 positive triangular numbers.
4566 is the difference of 2 positive pentagonal numbers in 2 ways.
4566 = 26² + 41² + 47² is the sum of 3 positive squares.
4566² = 234² + 4560² is the sum of 2 positive squares in 1 way.
4566² is the sum of 3 positive squares.
4566 is a proper divisor of 1523² - 1.
4566 = '4' + '566' is the concatenation of 2 semiprime numbers.
4566 = '45' + '66' is the concatenation of 2 triangular numbers.
4566 is palindromic in (at least) the following bases: 39, 55, -30, -39, and -83.
4566 in base 19 = cc6 and consists of only the digits '6' and 'c'.
4566 in base 22 = 99c and consists of only the digits '9' and 'c'.
4566 in base 25 = 77g and consists of only the digits '7' and 'g'.
4566 in base 38 = 366 and consists of only the digits '3' and '6'.
4566 in base 39 = 303 and consists of only the digits '0' and '3'.
4566 in base 54 = 1UU and consists of only the digits '1' and 'U'.
4566 in base 55 = 1S1 and consists of only the digits '1' and 'S'.

The number 4566 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A018783: Number of partitions of n into parts having a common factor.
A047968: a(n) = Sum_{d|n} p(d), where p(d) = A000041 = number of partitions of d.
A161704: a(n) = (3*n^5 - 35*n^4 + 145*n^3 - 235*n^2 + 152*n + 30)/30.
A182819: G.f.: exp( Sum_{n>=1} sigma(3n)*x^n/n ).
A222986: T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order
A279787: Twice-partitioned numbers where the first partition is constant.
A299257: Coordination sequence for 3D uniform tiling formed by stacking parallel layers of the 3.12.12 2D tiling (cf. A250122).
A305551: Number of partitions of partitions of n where all partitions have the same sum.
A317715: Number of ways to split an integer partition of n into consecutive subsequences with equal sums.
A330570: Partial sums of A097988 (d_3(n)^2).