Number

498

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

498 (four hundred ninety-eight) is an even 3-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 83. Its proper divisors sum to 510, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CDXCVIII and in binary, 111110010.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510

less more

Historical context — 498 AD

Calendar year

Year 498 (CDXCVIII) was a common year starting on Thursday of the Julian calendar.

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

Historical context — 498 BC

Calendar year

Year 498 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: 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: Wednesday
January 1, 498
Ended on: Wednesday
December 31, 498
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: 1,528
1528 years before 2026.

In other calendars

Hebrew: 4258 / 4259 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Earth zodiac:Tiger
Sexagenary cycle position 15 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1041 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 490 / 491 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 420 / 419 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 21
Digit product: 288
Digital root: 3
Palindrome: No
Bit width: 9 bits
Reversed: 894
Recamán's sequence: a(252) = 498
Square (n²): 248,004
Cube (n³): 123,505,992
Divisor count: 8
σ(n) — sum of divisors: 1,008
φ(n) — Euler's totient: 164
Sum of prime factors: 88

Primality

Prime factorization: 2 × 3 × 83

Nearest primes: 491 (−7) · 499 (+1)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 83 · 166 · 249 (half) · 498

Aliquot sum (sum of proper divisors): 510

Factor pairs (a × b = 498)

1 × 498

2 × 249

3 × 166

6 × 83

First multiples

498 · 996 (double) · 1,494 · 1,992 · 2,490 · 2,988 · 3,486 · 3,984 · 4,482 · 4,980

Sums & aliquot sequence

As consecutive integers: 165 + 166 + 167 123 + 124 + 125 + 126 36 + 37 + … + 47

Aliquot sequence: 498 → 510 → 786 → 798 → 1,122 → 1,470 → 2,634 → 2,646 → 4,194 → 4,932 → 7,626 → 8,502 → 9,978 → 9,990 → 17,370 → 28,026 → 35,136 — unresolved within range

Continued fraction of √n

√498 = [22; (3, 6, 22, 6, 3, 44)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: four hundred ninety-eight
Ordinal: 498th
Roman numeral: CDXCVIII
Binary: 111110010
Octal: 762
Hexadecimal: 0x1F2
Base64: AfI=
One's complement: 65,037 (16-bit)
Scientific notation: 4.98 × 10²
As a duration: 498 s = 8 minutes, 18 seconds

In other bases

ternary (3) 200110

quaternary (4) 13302

quinary (5) 3443

senary (6) 2150

septenary (7) 1311

nonary (9) 613

undecimal (11) 413

duodecimal (12) 356

tridecimal (13) 2c4

tetradecimal (14) 278

pentadecimal (15) 233

Palindromic in base 5

As an angle

498° = 1 × 360° + 138°

138° ≈ 2.409 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): υϟηʹ
Mayan (base 20): 𝋡·𝋤·𝋲
Chinese: 四百九十八
Chinese (financial): 肆佰玖拾捌

In other modern scripts

Eastern Arabic ٤٩٨ Devanagari ४९८ Bengali ৪৯৮ Tamil ௪௯௮ Thai ๔๙๘ Tibetan ༤༩༨ Khmer ៤៩៨ Lao ໔໙໘ Burmese ၄၉၈

Digit at this position in famous constants

π — Pi (π): Digit 498 = 4
e — Euler's number (e): Digit 498 = 9
φ — Golden ratio (φ): Digit 498 = 0
√2 — Pythagoras's (√2): Digit 498 = 3
ln 2 — Natural log of 2: Digit 498 = 0
γ — Euler-Mascheroni (γ): Digit 498 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 498, here are decompositions:

7 + 491 = 498
11 + 487 = 498
19 + 479 = 498
31 + 467 = 498
37 + 461 = 498
41 + 457 = 498
59 + 439 = 498
67 + 431 = 498

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Capital Letter D With Small Letter Z

U+01F2

Titlecase letter (Lt)

UTF-8 encoding: C7 B2 (2 bytes).

Lookup U+01F2 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0001F2

RGB(0, 1, 242)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.242.

Address: 0.0.1.242
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.242

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

Musical pitch

Heard as a frequency, 498 Hz is closest to:

Concert pitch (A4 = 440 Hz): B4 (493.9 Hz, +14¢)
Scientific pitch (C4 = 256 Hz): C5 (512 Hz, -48¢ — about midway to B4)
Baroque pitch (A4 = 415 Hz): C5 (493.5 Hz, +16¢)