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Number

488

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

Deficient Number Odious Number Pernicious Number Recamán's Sequence Year

Historical context — 488 AD

Calendar year

Year 488 (CDLXXXVIII) was a leap year starting on Friday of the Julian calendar.

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Historical context — 488 BC

Calendar year

Year 488 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: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 488
Ended on: Friday
December 31, 488
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 480s
480–489
Century: 5th century
401–500
Millennium: 1st millennium
1–1000
Years ago: 1,538
1538 years before 2026.

In other calendars

Hebrew: 4248 / 4249 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Earth zodiac:Dragon
Sexagenary cycle position 5 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1031 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 480 / 481 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 410 / 409 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 20
Digit product: 256
Digital root: 2
Palindrome: No
Bit width: 9 bits
Reversed: 884
Recamán's sequence: a(308) = 488
Square (n²): 238,144
Cube (n³): 116,214,272
Divisor count: 8
σ(n) — sum of divisors: 930
φ(n) — Euler's totient: 240
Sum of prime factors: 67

Primality

Prime factorization: 2 ³ × 61

Nearest primes: 487 (−1) · 491 (+3)

Divisors & multiples

All divisors (8)

1 · 2 · 4 · 8 · 61 · 122 · 244 (half) · 488

Aliquot sum (sum of proper divisors): 442

Factor pairs (a × b = 488)

1 × 488

2 × 244

4 × 122

8 × 61

First multiples

488 · 976 (double) · 1,464 · 1,952 · 2,440 · 2,928 · 3,416 · 3,904 · 4,392 · 4,880

Sums & aliquot sequence

As a sum of two squares: 2² + 22²

As consecutive integers: 23 + 24 + … + 38

Aliquot sequence: 488 → 442 → 314 → 160 → 218 → 112 → 136 → 134 → 70 → 74 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Representations

In words: four hundred eighty-eight
Ordinal: 488th
Roman numeral: CDLXXXVIII
Binary: 111101000
Octal: 750
Hexadecimal: 0x1E8
Base64: Aeg=
One's complement: 65,047 (16-bit)

In other bases

ternary (3) 200002

quaternary (4) 13220

quinary (5) 3423

senary (6) 2132

septenary (7) 1265

nonary (9) 602

undecimal (11) 404

duodecimal (12) 348

tridecimal (13) 2b7

tetradecimal (14) 26c

pentadecimal (15) 228

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): υπηʹ
Mayan (base 20): 𝋡·𝋤·𝋨
Chinese: 四百八十八
Chinese (financial): 肆佰捌拾捌

In other modern scripts

Eastern Arabic ٤٨٨ Devanagari ४८८ Bengali ৪৮৮ Tamil ௪௮௮ Thai ๔๘๘ Tibetan ༤༨༨ Khmer ៤៨៨ Lao ໔໘໘ Burmese ၄၈၈

Digit at this position in famous constants

π — Pi (π): Digit 488 = 9
e — Euler's number (e): Digit 488 = 8
φ — Golden ratio (φ): Digit 488 = 6
√2 — Pythagoras's (√2): Digit 488 = 6
ln 2 — Natural log of 2: Digit 488 = 7
γ — Euler-Mascheroni (γ): Digit 488 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 488, here are decompositions:

31 + 457 = 488
67 + 421 = 488
79 + 409 = 488
109 + 379 = 488
139 + 349 = 488
151 + 337 = 488
157 + 331 = 488
181 + 307 = 488

Showing the first eight; more decompositions exist.

Unicode codepoint

Ǩ

Latin Capital Letter K With Caron

U+01E8

Uppercase letter (Lu)

UTF-8 encoding: C7 A8 (2 bytes).

Lookup U+01E8 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0001E8

RGB(0, 1, 232)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.232.

Address: 0.0.1.232
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.232

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