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Advent calendar 2020
23 December
All 2020 advent puzzles
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198 is the smallest number that is equal to 11 times the sum of its digits.
Today's number is the smallest number that is equal to 48 times the sum of its digits.
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We're looking for a number \(n\) such that the digits of \(n\times48\) add up to \(n\). If we try numbers in order, we find that 9 works, so today's number is
432
.
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odd numbers
polynomials
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square numbers
determinants
digital clocks
dodecagons
parabolas
tangents
probability
probabilty
numbers
cryptic clues
doubling
mean
volume
squares
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taxicab geometry
integers
scales
gerrymandering
arrows
algebra
integration
trigonometry
sequences
graphs
prime numbers
shape
chocolate
perfect numbers
sums
decahedra
fractions
routes
grids
coins
factorials
averages
regular shapes
circles
means
colouring
symmetry
digits
crossnumber
addition
3d shapes
time
hexagons
menace
functions
rectangles
planes
square roots
chess
books
advent
indices
folding tube maps
factors
proportion
division
christmas
triangles
logic
combinatorics
quadrilaterals
triangle numbers
surds
coordinates
shapes
area
ave
games
dominos
spheres
speed
geometry
multiplication
quadratics
cubics
albgebra
bases
remainders
percentages
tournaments
palindromes
geometric means
floors
lines
2d shapes
cube numbers
people maths
wordplay
ellipses
irreducible numbers
calculus
binary
sets
range
clocks
expansions
differentiation
matrices
dates
unit fractions
products
crosswords
star numbers
consecutive numbers
median
rugby
pentagons
crossnumbers
tiling
even numbers
angles
sport
sum to infinity
polygons
money
consecutive integers
partitions
chalkdust crossnumber
perimeter
cryptic crossnumbers
pascal's triangle
elections
balancing
cards
axes
geometric mean
digital products
complex numbers
dice
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