mscroggs
.co.uk
mscroggs
.co.uk
blog
puzzles
academic
talks
contact
subscribe
subscribe
Loading image...
Advent calendar 2020
23 December
All 2020 advent puzzles
~
More information
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.
Show answer
Hide answer
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
.
Tags:
numbers
,
digits
Archive
Show me a random puzzle
Most recent collections
Advent calendar 2023
Advent calendar 2022
Advent calendar 2021
Advent calendar 2020
List of all puzzles
Tags
surds
factors
christmas
speed
tangents
calculus
tiling
dice
factorials
dominos
pentagons
scales
numbers
partitions
arrows
3d shapes
multiples
ellipses
even numbers
palindromes
money
consecutive integers
the only crossnumber
shapes
chess
digital products
graphs
squares
ave
coordinates
decahedra
crosswords
digital clocks
doubling
trigonometry
range
expansions
percentages
quadratics
integers
chalkdust crossnumber
parabolas
complex numbers
star numbers
folding tube maps
circles
polynomials
triangles
unit fractions
number
geometry
proportion
2d shapes
perfect numbers
averages
symmetry
tournaments
volume
fractions
sums
routes
combinatorics
products
clocks
square numbers
grids
irreducible numbers
gerrymandering
sequences
geometric mean
multiplication
area
functions
crossnumbers
cubics
probability
coins
differentiation
rugby
bases
logic
regular shapes
chocolate
means
odd numbers
angles
spheres
prime numbers
consecutive numbers
dodecagons
shape
remainders
hexagons
sport
elections
advent
pascal's triangle
rectangles
matrices
median
taxicab geometry
cards
games
floors
lines
binary
dates
division
indices
cube numbers
quadrilaterals
triangle numbers
balancing
menace
cryptic clues
people maths
perimeter
addition
geometric means
planes
albgebra
cryptic crossnumbers
digits
probabilty
axes
sets
colouring
mean
wordplay
sum to infinity
books
time
polygons
algebra
crossnumber
square roots
integration
determinants
Archive
Show me a random puzzle
▼ show ▼
▲ hide ▲
Most recent collections
Advent calendar 2023
Advent calendar 2022
Advent calendar 2021
Advent calendar 2020
List of all puzzles
Tags
chocolate
tiling
calculus
wordplay
advent
averages
products
quadrilaterals
geometry
fractions
spheres
geometric means
money
decahedra
area
colouring
crossnumbers
digital products
cryptic crossnumbers
floors
graphs
consecutive numbers
differentiation
combinatorics
triangle numbers
factors
regular shapes
functions
rugby
scales
means
cubics
triangles
crosswords
star numbers
division
odd numbers
factorials
probability
rectangles
coins
range
menace
matrices
quadratics
sums
dice
dates
gerrymandering
digits
3d shapes
symmetry
circles
routes
multiples
volume
books
irreducible numbers
coordinates
doubling
people maths
trigonometry
shapes
surds
shape
algebra
integers
squares
sport
geometric mean
pentagons
determinants
time
ellipses
tournaments
balancing
expansions
perfect numbers
sum to infinity
folding tube maps
chalkdust crossnumber
bases
perimeter
grids
planes
the only crossnumber
probabilty
addition
number
clocks
multiplication
unit fractions
partitions
elections
cryptic clues
square roots
axes
ave
dominos
speed
square numbers
albgebra
lines
remainders
dodecagons
crossnumber
2d shapes
consecutive integers
chess
parabolas
prime numbers
tangents
cube numbers
sets
digital clocks
palindromes
polygons
indices
christmas
sequences
numbers
arrows
proportion
integration
angles
complex numbers
games
median
binary
cards
pascal's triangle
taxicab geometry
hexagons
even numbers
mean
polynomials
logic
percentages
© Matthew Scroggs 2012–2024