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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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Most recent collections
Advent calendar 2020
Advent calendar 2019
Sunday Afternoon Maths LXVII
Coloured weights
Not Roman numerals
Advent calendar 2018
List of all puzzles
Tags
square roots
games
cryptic crossnumbers
range
ellipses
floors
quadrilaterals
advent
rugby
multiples
doubling
time
colouring
scales
combinatorics
rectangles
shape
cryptic clues
logic
number
tiling
the only crossnumber
dominos
circles
spheres
products
menace
squares
factorials
partitions
elections
regular shapes
lines
christmas
numbers
star numbers
polygons
palindromes
grids
shapes
sport
dice
calculus
hexagons
angles
geometry
3d shapes
gerrymandering
cards
functions
odd numbers
sum to infinity
probability
quadratics
bases
addition
cube numbers
multiplication
sums
graphs
routes
division
volume
remainders
arrows
wordplay
perfect numbers
integration
fractions
crosswords
mean
parabolas
books
square numbers
crossnumber
area
money
speed
factors
surds
folding tube maps
sequences
proportion
digital clocks
coordinates
unit fractions
chess
median
prime numbers
ave
dodecagons
indices
triangles
irreducible numbers
means
people maths
perimeter
pascal's triangle
coins
symmetry
chocolate
clocks
averages
balancing
algebra
taxicab geometry
planes
probabilty
triangle numbers
percentages
dates
differentiation
crossnumbers
trigonometry
chalkdust crossnumber
complex numbers
2d shapes
integers
digits
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