816
816 is a composite number, even, a calendar year.
Historical context — 816 AD
Calendar year
Year 816 (DCCCXVI) was a leap year starting on Tuesday of the Julian calendar, the 816th year of the Common Era (CE) and Anno Domini (AD) designations, the 816th year of the 1st millennium, the 16th year of the 9th century, and the 7th year of the 810s decade.
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Historical context — 816 BC
Decade
This article concerns the period 819 BC – 810 BC.
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Year facts
- Year type
-
Leap year
Divisible by 4 and not by 100; February has 29 days.
- Days in year
- 366
- ISO weeks
- 52
- Started on
-
Friday
January 1, 816
- Ended on
-
Saturday
December 31, 816
- Friday the 13ths
-
1
One Friday the 13th this year.
- Decade
-
810s
810–819
- Century
-
9th century
801–900
- Millennium
-
1st millennium
1–1000
- Years ago
-
1,210
1210 years before 2026.
In other calendars
- Hebrew
-
4576 / 4577 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
200 / 201 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Fire zodiac:Monkey
Sexagenary cycle position 33 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1359 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
194 / 195 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
808 / 809 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
738 / 737 Saka
Indian national calendar; year starts in March.
Properties
- Parity
- Even
- Digit count
- 3
- Digit sum
- 15
- Digit product
- 48
- Digital root
- 6
- Palindrome
- No
- Bit width
- 10 bits
- Reversed
- 618
- Flips to (rotate 180°)
- 918
- Recamán's sequence
- a(2,116) = 816
- Square (n²)
- 665,856
- Cube (n³)
- 543,338,496
- Divisor count
- 20
- σ(n) — sum of divisors
- 2,232
- φ(n) — Euler's totient
- 256
- Sum of prime factors
- 28
Primality
Prime factorization: 2 4 × 3 × 17
Divisors & multiples
Sums & aliquot sequence
Representations
- In words
- eight hundred sixteen
- Ordinal
- 816th
- Roman numeral
- DCCCXVI
- Binary
- 1100110000
- Octal
- 1460
- Hexadecimal
- 0x330
- Base64
- AzA=
- One's complement
- 64,719 (16-bit)
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ωιϛʹ
- Mayan (base 20)
- 𝋢·𝋠·𝋰
- Chinese
- 八百一十六
- Chinese (financial)
- 捌佰壹拾陸
Digit at this position in famous constants
- π — Pi (π)
- Digit 816 = 0
- e — Euler's number (e)
- Digit 816 = 2
- φ — Golden ratio (φ)
- Digit 816 = 5
- √2 — Pythagoras's (√2)
- Digit 816 = 3
- ln 2 — Natural log of 2
- Digit 816 = 9
- γ — Euler-Mascheroni (γ)
- Digit 816 = 9
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 816, here are decompositions:
- 5 + 811 = 816
- 7 + 809 = 816
- 19 + 797 = 816
- 29 + 787 = 816
- 43 + 773 = 816
- 47 + 769 = 816
- 59 + 757 = 816
- 73 + 743 = 816
Showing the first eight; more decompositions exist.
UTF-8 encoding: CC B0 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.48.
- Address
- 0.0.3.48
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.3.48
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The number 816 is an active NANP area code (North American Numbering Plan).
- Primary area
- Kansas City
- Region
- Missouri
- Country
- United States
Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.