Number

849

849 is a composite number, odd, a calendar year.

849 (eight hundred forty-nine) is an odd 3-digit number. It is a composite number with 4 divisors, and factors as 3 × 283. Written other ways, in Roman numerals it is DCCCXLIX and in binary, 1101010001.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Interestingness

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5 notable facts · grade C

837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861

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Historical context — 849 AD

Calendar year

Year 849 (DCCCXLIX) was a common year starting on Tuesday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 849 BC

Decade

This article concerns the period 849 BC – 840 BC.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 52
Started on: Friday
January 1, 849
Ended on: Friday
December 31, 849
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 840s
840–849
Century: 9th century
801–900
Millennium: 1st millennium
1–1000
Years ago: 1,177
1177 years before 2026.

In other calendars

Hebrew: 4609 / 4610 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 234 / 235 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Earth zodiac:Snake
Sexagenary cycle position 6 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1392 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 227 / 228 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 841 / 842 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 771 / 770 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 21
Digit product: 288
Digital root: 3
Palindrome: No
Bit width: 10 bits
Reversed: 948
Recamán's sequence: a(833) = 849
Square (n²): 720,801
Cube (n³): 611,960,049
Divisor count: 4
σ(n) — sum of divisors: 1,136
φ(n) — Euler's totient: 564
Sum of prime factors: 286

Primality

Prime factorization: 3 × 283

Nearest primes: 839 (−10) · 853 (+4)

Divisors & multiples

All divisors (4)

1 · 3 · 283 · 849

Aliquot sum (sum of proper divisors): 287

Factor pairs (a × b = 849)

1 × 849

3 × 283

First multiples

849 · 1,698 (double) · 2,547 · 3,396 · 4,245 · 5,094 · 5,943 · 6,792 · 7,641 · 8,490

Sums & aliquot sequence

As consecutive integers: 424 + 425 282 + 283 + 284 139 + 140 + 141 + 142 + 143 + 144

Aliquot sequence: 849 → 287 → 49 → 8 → 7 → 1 → 0 — terminates at zero

Continued fraction of √n

√849 = [29; (7, 3, 1, 2, 1, 7, 1, 1, 2, 4, 11, 2, 2, 1, 18, 1, 2, 2, 11, 4, 2, 1, 1, 7, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words: eight hundred forty-nine
Ordinal: 849th
Roman numeral: DCCCXLIX
Binary: 1101010001
Octal: 1521
Hexadecimal: 0x351
Base64: A1E=
One's complement: 64,686 (16-bit)
Scientific notation: 8.49 × 10²
As a duration: 849 s = 14 minutes, 9 seconds

In other bases

ternary (3) 1011110

quaternary (4) 31101

quinary (5) 11344

senary (6) 3533

septenary (7) 2322

nonary (9) 1143

undecimal (11) 702

duodecimal (12) 5a9

tridecimal (13) 504

tetradecimal (14) 449

pentadecimal (15) 3b9

As an angle

849° = 2 × 360° + 129°

129° ≈ 2.251 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ωμθʹ
Mayan (base 20): 𝋢·𝋢·𝋩
Chinese: 八百四十九
Chinese (financial): 捌佰肆拾玖

In other modern scripts

Eastern Arabic ٨٤٩ Devanagari ८४९ Bengali ৮৪৯ Tamil ௮௪௯ Thai ๘๔๙ Tibetan ༨༤༩ Khmer ៨៤៩ Lao ໘໔໙ Burmese ၈၄၉

Digit at this position in famous constants

π — Pi (π): Digit 849 = 8
e — Euler's number (e): Digit 849 = 4
φ — Golden ratio (φ): Digit 849 = 0
√2 — Pythagoras's (√2): Digit 849 = 9
ln 2 — Natural log of 2: Digit 849 = 1
γ — Euler-Mascheroni (γ): Digit 849 = 5

Also seen as

Unicode codepoint

Combining Left Half Ring Above

U+0351

Non-spacing mark (Mn)

UTF-8 encoding: CD 91 (2 bytes).

Lookup U+0351 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000351

RGB(0, 3, 81)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.81.

Address: 0.0.3.81
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.81

Unspecified address (0.0.0.0/8) — "this network" placeholder.

NANP area code 849

The number 849 is an active NANP area code (North American Numbering Plan).

Primary area: Statewide
Region: Dominican Republic
Country: Dominican Republic

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Look up area code 849 ↗

Musical pitch

Heard as a frequency, 849 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯5 (830.6 Hz, +38¢)
Scientific pitch (C4 = 256 Hz): A5 (861.1 Hz, -24¢)
Baroque pitch (A4 = 415 Hz): A5 (830 Hz, +39¢)