Number

492

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

492 (four hundred ninety-two) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 41. Its proper divisors sum to 684, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CDXCII and in binary, 111101100.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Refactorable Number Semiperfect Number Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504

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Historical context — 492 AD

Calendar year

Year 492 (CDXCII) was a leap year starting on Wednesday of the Julian calendar.

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

Historical context — 492 BC

Calendar year

Year 492 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: 52
Started on: Tuesday
January 1, 492
Ended on: Wednesday
December 31, 492
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 490s
490–499
Century: 5th century
401–500
Millennium: 1st millennium
1–1000
Years ago: 1,534
1534 years before 2026.

In other calendars

Hebrew: 4252 / 4253 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Water zodiac:Monkey
Sexagenary cycle position 9 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1035 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 484 / 485 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 414 / 413 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 15
Digit product: 72
Digital root: 6
Palindrome: No
Bit width: 9 bits
Reversed: 294
Recamán's sequence: a(228) = 492
Square (n²): 242,064
Cube (n³): 119,095,488
Divisor count: 12
σ(n) — sum of divisors: 1,176
φ(n) — Euler's totient: 160
Sum of prime factors: 48

Primality

Prime factorization: 2 ² × 3 × 41

Nearest primes: 491 (−1) · 499 (+7)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 41 · 82 · 123 · 164 · 246 (half) · 492

Aliquot sum (sum of proper divisors): 684

Factor pairs (a × b = 492)

1 × 492

2 × 246

3 × 164

4 × 123

6 × 82

12 × 41

First multiples

492 · 984 (double) · 1,476 · 1,968 · 2,460 · 2,952 · 3,444 · 3,936 · 4,428 · 4,920

Sums & aliquot sequence

As consecutive integers: 163 + 164 + 165 58 + 59 + … + 65 9 + 10 + … + 32

Aliquot sequence: 492 → 684 → 1,136 → 1,096 → 974 → 490 → 536 → 484 → 447 → 153 → 81 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Continued fraction of √n

√492 = [22; (5, 1, 1, 10, 1, 1, 5, 44)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: four hundred ninety-two
Ordinal: 492nd
Roman numeral: CDXCII
Binary: 111101100
Octal: 754
Hexadecimal: 0x1EC
Base64: Aew=
One's complement: 65,043 (16-bit)
Scientific notation: 4.92 × 10²
As a duration: 492 s = 8 minutes, 12 seconds

In other bases

ternary (3) 200020

quaternary (4) 13230

quinary (5) 3432

senary (6) 2140

septenary (7) 1302

nonary (9) 606

undecimal (11) 408

duodecimal (12) 350

tridecimal (13) 2bb

tetradecimal (14) 272

pentadecimal (15) 22c

Palindromic in base 9, base 14

As an angle

492° = 1 × 360° + 132°

132° ≈ 2.304 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): υϟβʹ
Mayan (base 20): 𝋡·𝋤·𝋬
Chinese: 四百九十二
Chinese (financial): 肆佰玖拾貳

In other modern scripts

Eastern Arabic ٤٩٢ Devanagari ४९२ Bengali ৪৯২ Tamil ௪௯௨ Thai ๔๙๒ Tibetan ༤༩༢ Khmer ៤៩២ Lao ໔໙໒ Burmese ၄၉၂

Digit at this position in famous constants

π — Pi (π): Digit 492 = 8
e — Euler's number (e): Digit 492 = 3
φ — Golden ratio (φ): Digit 492 = 7
√2 — Pythagoras's (√2): Digit 492 = 6
ln 2 — Natural log of 2: Digit 492 = 5
γ — Euler-Mascheroni (γ): Digit 492 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 492, here are decompositions:

5 + 487 = 492
13 + 479 = 492
29 + 463 = 492
31 + 461 = 492
43 + 449 = 492
53 + 439 = 492
59 + 433 = 492
61 + 431 = 492

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Capital Letter O With Ogonek And Macron

U+01EC

Uppercase letter (Lu)

UTF-8 encoding: C7 AC (2 bytes).

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

Hex color

#0001EC

RGB(0, 1, 236)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.236.

Address: 0.0.1.236
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.236

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

Musical pitch

Heard as a frequency, 492 Hz is closest to:

Concert pitch (A4 = 440 Hz): B4 (493.9 Hz, -7¢)
Scientific pitch (C4 = 256 Hz): B4 (483.3 Hz, +31¢)
Baroque pitch (A4 = 415 Hz): C5 (493.5 Hz, -5¢)