What does DCCXLIX mean?

DCCXLIX is the Roman numeral for 749 — 500 + 100 + 100 + 40 + 9.

How do you write 749 in Roman numerals?

Take the largest value that fits and repeat until nothing is left: D (500), then C (100), then C (100), then XL (40), then IX (9). That gives DCCXLIX.

749 in Roman numerals

DCCXLIX

Number (1–3,999 for numerals)

Roman numeral

749 is written DCCXLIX in Roman numerals. That is 5 symbol groups added together, reading left to right from the largest value down.

How it breaks down

DCCXLIX = 500 + 100 + 100 + 40 + 9 = 749
Group	Value	Subtraction	Running total
D	500	—	500
C	100	—	600
C	100	—	700
XL	40	L − X	740
IX	9	X − I	749

Why the smaller symbol comes first

DCCXLIX uses subtractive notation in 2 places: XL means L minus X, or 40; IX means X minus I, or 9. A smaller symbol placed before a larger one is subtracted from it rather than added, which is why IX is nine and not eleven.

Only six such pairs are valid — IV, IX, XL, XC, CD and CM. That restriction is what makes the notation unambiguous: IIII and IC both look like they should work, but neither is standard, and only one spelling of any number is correct.

The symbols

Symbol	Value	Used here
I	1	yes — 1×
V	5	no
X	10	yes — 2×
L	50	yes — 1×
C	100	yes — 2×
D	500	yes — 1×
M	1,000	no

The same number, other ways

In words: Seven hundred forty-nine
Roman numeral: DCCXLIX
Symbol count: 7 characters
Binary: 1011101101
Hexadecimal: 2ED

The numbers either side

Number	Roman numeral
747	DCCXLVII
748	DCCXLVIII
749	DCCXLIX ←
750	DCCL
751	DCCLI

Common questions

What is 749 in Roman numerals?: 749 is DCCXLIX.
What does DCCXLIX mean?: DCCXLIX is the Roman numeral for 749 — 500 + 100 + 100 + 40 + 9.
How do you write 749 in Roman numerals?: Take the largest value that fits and repeat until nothing is left: D (500), then C (100), then C (100), then XL (40), then IX (9). That gives DCCXLIX.

Sources

Calculated on this page — At One Place

How these figures are compiled and checked