1049
BWV 1049 is the fourth Brandenburg Concerto.
- Odd
- Prime
Where 1049 fits
Why 1049 is special
Bach later rewrote it as a harpsichord concerto, which is direct evidence of how freely composers of the period reused their own material.
Same number, different meanings
How 1049 is understood across different contexts — never implying one meaning because of another.
- Mathematics
Bach later rewrote it as a harpsichord concerto, which is direct evidence of how freely composers of the period reused their own material.
- History
In 1049, Leo IX became pope and began the reform movement that reshaped the medieval church (Europe).
- Media & popular culture
BWV 1049 was later adapted by Bach as the harpsichord concerto BWV 1057, transposed and rescored, illustrating routine self-borrowing in the period.
1049 is part of
Factors & digit properties
- Divisors (2)
- 1, 1049
- Prime factorisation
- 1049
- Digit sum
- 14
- Digital root
- 5
Representations
- Decimal
- 1049
- Scientific notation
- 1.049 × 10^3
Roman numerals
M X L I X
MXLIX uses the subtractive pair IX: one before ten — ten minus one.
Binary
1 0 0 0 0 0 1 1 0 0 1
1 × 1,024 + 0 × 512 + 0 × 256 + 0 × 128 + 0 × 64 + 0 × 32 + 1 × 16 + 1 × 8 + 0 × 4 + 0 × 2 + 1 × 1 = 1,049
Octal
2 0 3 1
2 × 512 + 0 × 64 + 3 × 8 + 1 × 1 = 1,049
Hexadecimal
4 1 9
4 × 256 + 1 × 16 + 9 × 1 = 1,049
Read as powers of two: 1,024 + 16 + 8 + 1 = 1,049.
In historical numeral systems
Egyptian
1 lotus, 4 hobbles, 9 strokes
1 × 1,000 + 4 × 10 + 9 × 1 = 1,049. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
1 corner wedge + 7 vertical wedges (sixties place), 2 corner wedges + 9 vertical wedges (units place)
17 × 60 + 29 = 1049. 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
- Sophie Germain prime
- Twin prime
Related numbers & connections
Two of the six Brandenburg Concertos, one with an almost unplayable trumpet part.
View 1047 →Bach reworked his own concertos for other instruments freely, which is how several survive at all.
View 1052 →History
In 1049, Leo IX became pope and began the reform movement that reshaped the medieval church (Europe).
DocumentedHistoryGeography: EuropePeriod: 1049
Media & popular culture
BWV 1049 was later adapted by Bach as the harpsichord concerto BWV 1057, transposed and rescored, illustrating routine self-borrowing in the period.
DocumentedMedia & popular cultureGeography: GermanyPeriod: 1721
Common questions
Is 1049 a prime number?
Yes, 1049 is prime — it has exactly two positive divisors: 1 and itself.
What are the factors of 1049?
The factors of 1049 are 1, 1049.
What is 1049 in Roman numerals?
1049 in Roman numerals is MXLIX. IX is subtractive: one before ten — ten minus one. Written additively it would be MXXXXVIIII, 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