1649
1649 is the year Charles I was executed.
- Odd
- Composite
Where 1649 fits
Why 1649 is special
He was tried by a court whose authority he refused to recognise, on a charge of making war on his own people. No European monarch had been publicly tried and executed by his subjects before, and the precedent alarmed every court on the continent.
Same number, different meanings
How 1649 is understood across different contexts — never implying one meaning because of another.
- Mathematics
He was tried by a court whose authority he refused to recognise, on a charge of making war on his own people. No European monarch had been publicly tried and executed by his subjects before, and the precedent alarmed every court on the continent.
- History
In 1649, Charles I was executed and England became a republic (England).
- Law & regulation
Charles I declined to plead, on the grounds that no court had jurisdiction over a king. The court proceeded anyway and executed him in 1649. The legal theory it invented — that a monarch is answerable to the people — outlived the regime that used it.
1649 is part of
Factors & digit properties
- Divisors (4)
- 1, 17, 97, 1649
- Prime factorisation
- 17 × 97
- Digit sum
- 20
- Digital root
- 2
Representations
- Decimal
- 1649
- Scientific notation
- 1.649 × 10^3
Roman numerals
M D C X L I X
MDCXLIX uses the subtractive pair IX: one before ten — ten minus one.
Binary
1 1 0 0 1 1 1 0 0 0 1
1 × 1,024 + 1 × 512 + 0 × 256 + 0 × 128 + 1 × 64 + 1 × 32 + 1 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 1 × 1 = 1,649
Octal
3 1 6 1
3 × 512 + 1 × 64 + 6 × 8 + 1 × 1 = 1,649
Hexadecimal
6 7 1
6 × 256 + 7 × 16 + 1 × 1 = 1,649
Read as powers of two: 1,024 + 512 + 64 + 32 + 16 + 1 = 1,649.
In historical numeral systems
Egyptian
1 lotus, 6 coils of rope, 4 hobbles, 9 strokes
1 × 1,000 + 6 × 100 + 4 × 10 + 9 × 1 = 1,649. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
2 corner wedges + 7 vertical wedges (sixties place), 2 corner wedges + 9 vertical wedges (units place)
27 × 60 + 29 = 1649. Places are separated by a space on the tablet, with the higher place written first.
Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.
Other mathematical patterns
- Deficient number
- Semiprime
Related numbers & connections
1649 is a year in the 17th century, in the 1640s.
Naseby in 1645 destroyed the royalist army and captured the king's correspondence; Charles I was executed four years later.
View 1645 →History
In 1649, Charles I was executed and England became a republic (England).
DocumentedHistoryGeography: EnglandPeriod: 1649
Law & regulation
Charles I declined to plead, on the grounds that no court had jurisdiction over a king. The court proceeded anyway and executed him in 1649. The legal theory it invented — that a monarch is answerable to the people — outlived the regime that used it.
DocumentedLaw & regulationGeography: EnglandPeriod: 1649
Common questions
Is 1649 a prime number?
No, 1649 is not prime.
What are the factors of 1649?
The factors of 1649 are 1, 17, 97, 1649.
What is 1649 in Roman numerals?
1649 in Roman numerals is MDCXLIX. IX is subtractive: one before ten — ten minus one. Written additively it would be MDCXXXXVIIII, which Roman inscriptions used freely — the strict subtractive form is a later convention.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 2 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026