Number

476

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

476 (four hundred seventy-six) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 17. Its proper divisors sum to 532, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CDLXXVI and in binary, 111011100.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488

less more

Notable events — 476 AD

Sep 4 Odoacer deposes Romulus Augustulus, traditionally ending the Western Roman Empire.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

Historical context — 476 BC

Calendar year

Year 476 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 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: 53
Long year: contains 53 ISO weeks.
Started on: Wednesday
January 1, 476
Ended on: Thursday
December 31, 476
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 470s
470–479
Century: 5th century
401–500
Millennium: 1st millennium
1–1000
Years ago: 1,550
1550 years before 2026.

In other calendars

Hebrew: 4236 / 4237 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Fire zodiac:Dragon
Sexagenary cycle position 53 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1019 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 468 / 469 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 398 / 397 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 17
Digit product: 168
Digital root: 8
Palindrome: No
Bit width: 9 bits
Reversed: 674
Recamán's sequence: a(2,416) = 476
Square (n²): 226,576
Cube (n³): 107,850,176
Divisor count: 12
σ(n) — sum of divisors: 1,008
φ(n) — Euler's totient: 192
Sum of prime factors: 28

Primality

Prime factorization: 2 ² × 7 × 17

Nearest primes: 467 (−9) · 479 (+3)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 7 · 14 · 17 · 28 · 34 · 68 · 119 · 238 (half) · 476

Aliquot sum (sum of proper divisors): 532

Factor pairs (a × b = 476)

1 × 476

2 × 238

4 × 119

7 × 68

14 × 34

17 × 28

First multiples

476 · 952 (double) · 1,428 · 1,904 · 2,380 · 2,856 · 3,332 · 3,808 · 4,284 · 4,760

Sums & aliquot sequence

As consecutive integers: 65 + 66 + … + 71 56 + 57 + … + 63 20 + 21 + … + 36

Aliquot sequence: 476 → 532 → 588 → 1,008 → 2,216 → 1,954 → 980 → 1,414 → 1,034 → 694 → 350 → 394 → 200 → 265 → 59 → 1 → 0 — terminates at zero

Continued fraction of √n

√476 = [21; (1, 4, 2, 10, 2, 4, 1, 42)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-six
Ordinal: 476th
Roman numeral: CDLXXVI
Binary: 111011100
Octal: 734
Hexadecimal: 0x1DC
Base64: Adw=
One's complement: 65,059 (16-bit)
Scientific notation: 4.76 × 10²
As a duration: 476 s = 7 minutes, 56 seconds

In other bases

ternary (3) 122122

quaternary (4) 13130

quinary (5) 3401

senary (6) 2112

septenary (7) 1250

nonary (9) 578

undecimal (11) 3a3

duodecimal (12) 338

tridecimal (13) 2a8

tetradecimal (14) 260

pentadecimal (15) 21b

Palindromic in base 6, base 11

As an angle

476° = 1 × 360° + 116°

116° ≈ 2.025 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): υοϛʹ
Mayan (base 20): 𝋡·𝋣·𝋰
Chinese: 四百七十六
Chinese (financial): 肆佰柒拾陸

In other modern scripts

Eastern Arabic ٤٧٦ Devanagari ४७६ Bengali ৪৭৬ Tamil ௪௭௬ Thai ๔๗๖ Tibetan ༤༧༦ Khmer ៤៧៦ Lao ໔໗໖ Burmese ၄၇၆

Digit at this position in famous constants

π — Pi (π): Digit 476 = 7
e — Euler's number (e): Digit 476 = 9
φ — Golden ratio (φ): Digit 476 = 9
√2 — Pythagoras's (√2): Digit 476 = 6
ln 2 — Natural log of 2: Digit 476 = 6
γ — Euler-Mascheroni (γ): Digit 476 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 476, here are decompositions:

13 + 463 = 476
19 + 457 = 476
37 + 439 = 476
43 + 433 = 476
67 + 409 = 476
79 + 397 = 476
97 + 379 = 476
103 + 373 = 476

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Small Letter U With Diaeresis And Grave

U+01DC

Lowercase letter (Ll)

UTF-8 encoding: C7 9C (2 bytes).

Lookup U+01DC on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0001DC

RGB(0, 1, 220)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.220.

Address: 0.0.1.220
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.220

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

Musical pitch

Heard as a frequency, 476 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯4 (466.2 Hz, +36¢)
Scientific pitch (C4 = 256 Hz): B4 (483.3 Hz, -26¢)
Baroque pitch (A4 = 415 Hz): B4 (465.8 Hz, +37¢)