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 2025
Advent calendar 2024
Advent calendar 2023
Advent calendar 2022
List of all puzzles
Tags
multiplaction squares
dice
functions
lines
geometry
perimeter
elections
cryptic clues
surds
multiples
geometric mean
sets
products
quadrilaterals
hexagons
division
determinants
sum to infinity
trigonometry
consecutive integers
cube numbers
triangles
axes
ellipses
coordinates
ave
balancing
matrices
advent
rectangles
averages
albgebra
algebra
even numbers
mean
percentages
area
proportion
addition
squares
chalkdust crossnumber
circles
powers
dominos
tangents
partitions
chess
multiplication
cards
doubling
number
differentiation
sport
regular shapes
parabolas
consecutive numbers
money
range
folding tube maps
unit fractions
square grids
angles
arrows
polynomials
prime numbers
combinatorics
books
time
neighbours
numbers
2d shapes
games
polygons
tournaments
crosswords
gerrymandering
geometric means
coins
star numbers
rugby
sums
triangle numbers
expansions
square roots
remainders
scales
wordplay
digits
pentagons
people maths
chocolate
shape
spheres
indices
clocks
volume
speed
taxicab geometry
routes
logic
symmetry
graphs
crossnumbers
factors
medians
calculus
perfect numbers
decahedra
factorials
irreducible numbers
quadratics
shapes
dodecagons
xor
probability
sequences
colouring
3d shapes
digital clocks
bases
the only crossnumber
floors
tiling
christmas
digital products
median
menace
integration
lists
means
prime factors
cryptic crossnumbers
cubics
probabilty
grids
pascal's triangle
complex numbers
planes
dates
binary
fractions
square numbers
palindromes
odd numbers
integers
Archive
Show me a random puzzle
▼ show ▼
▲ hide ▲
Most recent collections
Advent calendar 2025
Advent calendar 2024
Advent calendar 2023
Advent calendar 2022
List of all puzzles
Tags
even numbers
dominos
odd numbers
sets
ellipses
books
2d shapes
xor
consecutive integers
quadratics
partitions
polynomials
scales
dice
polygons
crosswords
time
coordinates
rugby
complex numbers
doubling
products
ave
chalkdust crossnumber
routes
lines
rectangles
cryptic crossnumbers
albgebra
proportion
tangents
algebra
christmas
fractions
unit fractions
pentagons
factorials
perimeter
cube numbers
symmetry
binary
money
determinants
gerrymandering
planes
balancing
shapes
crossnumbers
surds
chess
combinatorics
square roots
sums
neighbours
taxicab geometry
mean
range
medians
palindromes
grids
sum to infinity
multiples
tournaments
geometry
digits
indices
functions
percentages
people maths
colouring
cubics
quadrilaterals
tiling
3d shapes
bases
addition
games
dates
advent
speed
clocks
square numbers
circles
division
hexagons
angles
calculus
triangles
sport
area
menace
multiplaction squares
parabolas
median
consecutive numbers
prime factors
perfect numbers
wordplay
differentiation
geometric means
folding tube maps
square grids
dodecagons
expansions
triangle numbers
arrows
cards
logic
sequences
multiplication
squares
probability
digital clocks
irreducible numbers
integers
chocolate
coins
powers
factors
means
floors
number
spheres
elections
numbers
matrices
volume
regular shapes
decahedra
digital products
cryptic clues
remainders
integration
graphs
shape
geometric mean
lists
pascal's triangle
prime numbers
averages
the only crossnumber
axes
trigonometry
probabilty
star numbers
© Matthew Scroggs 2012–2026