Number

512

512 is a composite number, even, a calendar year.

Deficient Number Harshad / Niven Odious Number Perfect Cube Power of Two Powerful Number Practical Number Recamán's Sequence Self Number Year

Historical context — 512 AD

Calendar year

Year 512 (DXII) was a leap year starting on Sunday of the Julian calendar.

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Historical context — 512 BC

Calendar year

The year 512 BC was a year of the pre-Julian Roman calendar.

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

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, 512
Ended on: Saturday
December 31, 512
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 510s
510–519
Century: 6th century
501–600
Millennium: 1st millennium
1–1000
Years ago: 1,514
1514 years before 2026.

In other calendars

Hebrew: 4272 / 4273 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Water zodiac:Dragon
Sexagenary cycle position 29 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1055 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 504 / 505 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 434 / 433 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 8
Digit product: 10
Digital root: 8
Palindrome: No
Bit width: 10 bits
Reversed: 215
Recamán's sequence: a(280) = 512
Square (n²): 262,144
Cube (n³): 134,217,728
Cube root (∛n): 8
Divisor count: 10
σ(n) — sum of divisors: 1,023
φ(n) — Euler's totient: 256
Sum of prime factors: 18

Primality

Prime factorization: 2 ⁹

Nearest primes: 509 (−3) · 521 (+9)

Divisors & multiples

All divisors (10)

1 · 2 · 4 · 8 · 16 · 32 · 64 · 128 · 256 (half) · 512

Aliquot sum (sum of proper divisors): 511

Factor pairs (a × b = 512)

1 × 512

2 × 256

4 × 128

8 × 64

16 × 32

First multiples

512 · 1,024 (double) · 1,536 · 2,048 · 2,560 · 3,072 · 3,584 · 4,096 · 4,608 · 5,120

Sums & aliquot sequence

As a sum of two squares: 16² + 16²

Aliquot sequence: 512 → 511 → 81 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Representations

In words: five hundred twelve
Ordinal: 512th
Roman numeral: DXII
Binary: 1000000000
Octal: 1000
Hexadecimal: 0x200
Base64: AgA=
One's complement: 65,023 (16-bit)

In other bases

ternary (3) 200222

quaternary (4) 20000

quinary (5) 4022

senary (6) 2212

septenary (7) 1331

nonary (9) 628

undecimal (11) 426

duodecimal (12) 368

tridecimal (13) 305

tetradecimal (14) 288

pentadecimal (15) 242

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian): φιβʹ
Mayan (base 20): 𝋡·𝋥·𝋬
Chinese: 五百一十二
Chinese (financial): 伍佰壹拾貳

In other modern scripts

Eastern Arabic ٥١٢ Devanagari ५१२ Bengali ৫১২ Tamil ௫௧௨ Thai ๕๑๒ Tibetan ༥༡༢ Khmer ៥១២ Lao ໕໑໒ Burmese ၅၁၂

Digit at this position in famous constants

π — Pi (π): Digit 512 = 4
e — Euler's number (e): Digit 512 = 4
φ — Golden ratio (φ): Digit 512 = 9
√2 — Pythagoras's (√2): Digit 512 = 8
ln 2 — Natural log of 2: Digit 512 = 6
γ — Euler-Mascheroni (γ): Digit 512 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 512, here are decompositions:

3 + 509 = 512
13 + 499 = 512
73 + 439 = 512
79 + 433 = 512
103 + 409 = 512
139 + 373 = 512
163 + 349 = 512
181 + 331 = 512

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Capital Letter A With Double Grave

U+0200

Uppercase letter (Lu)

UTF-8 encoding: C8 80 (2 bytes).

Lookup U+0200 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000200

RGB(0, 2, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.0.

Address: 0.0.2.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.0

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

NANP area code 512

The number 512 is an active NANP area code (North American Numbering Plan).

Primary area: Austin
Region: Texas
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.

Look up area code 512 ↗