Number

496

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

Happy Number Hexagonal Odious Number Perfect Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Triangular Year

Historical context — 496 AD

Calendar year

Year 496 (CDXCVI) was a leap year starting on Monday of the Julian calendar.

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

Historical context — 496 BC

Calendar year

Year 496 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: Sunday
January 1, 496
Ended on: Monday
December 31, 496
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 490s
490–499
Century: 5th century
401–500
Millennium: 1st millennium
1–1000
Years ago: 1,530
1530 years before 2026.

In other calendars

Hebrew: 4256 / 4257 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Fire zodiac:Rat
Sexagenary cycle position 13 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1039 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 488 / 489 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 418 / 417 Saka
Indian national calendar; year starts in March.

Cultural significance

Greek/Pythagorean sacred

Third perfect number (1+2+4+8+16+31+62+124+248 = 496).

Pythagoreans considered perfect numbers spiritually significant.

Sourced from Wikipedia (Numerology, Chinese numerology, Gematria, and per-culture articles).

Properties

Parity: Even
Digit count: 3
Digit sum: 19
Digit product: 216
Digital root: 1
Palindrome: No
Bit width: 9 bits
Reversed: 694
Recamán's sequence: a(248) = 496
Square (n²): 246,016
Cube (n³): 122,023,936
Divisor count: 10
σ(n) — sum of divisors: 992
φ(n) — Euler's totient: 240
Sum of prime factors: 39

Primality

Prime factorization: 2 ⁴ × 31

Nearest primes: 491 (−5) · 499 (+3)

Divisors & multiples

All divisors (10)

1 · 2 · 4 · 8 · 16 · 31 · 62 · 124 · 248 (half) · 496

Aliquot sum (sum of proper divisors): 496

Factor pairs (a × b = 496)

1 × 496

2 × 248

4 × 124

8 × 62

16 × 31

First multiples

496 · 992 (double) · 1,488 · 1,984 · 2,480 · 2,976 · 3,472 · 3,968 · 4,464 · 4,960

Sums & aliquot sequence

As consecutive integers: 1 + 2 + … + 31

Aliquot sequence: 496 → 496 — reaches a perfect number

Representations

In words: four hundred ninety-six
Ordinal: 496th
Roman numeral: CDXCVI
Binary: 111110000
Octal: 760
Hexadecimal: 0x1F0
Base64: AfA=
One's complement: 65,039 (16-bit)

In other bases

ternary (3) 200101

quaternary (4) 13300

quinary (5) 3441

senary (6) 2144

septenary (7) 1306

nonary (9) 611

undecimal (11) 411

duodecimal (12) 354

tridecimal (13) 2c2

tetradecimal (14) 276

pentadecimal (15) 231

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): υϟϛʹ
Mayan (base 20): 𝋡·𝋤·𝋰
Chinese: 四百九十六
Chinese (financial): 肆佰玖拾陸

In other modern scripts

Eastern Arabic ٤٩٦ Devanagari ४९६ Bengali ৪৯৬ Tamil ௪௯௬ Thai ๔๙๖ Tibetan ༤༩༦ Khmer ៤៩៦ Lao ໔໙໖ Burmese ၄၉၆

Digit at this position in famous constants

π — Pi (π): Digit 496 = 1
e — Euler's number (e): Digit 496 = 8
φ — Golden ratio (φ): Digit 496 = 4
√2 — Pythagoras's (√2): Digit 496 = 7
ln 2 — Natural log of 2: Digit 496 = 0
γ — Euler-Mascheroni (γ): Digit 496 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 496, here are decompositions:

5 + 491 = 496
17 + 479 = 496
29 + 467 = 496
47 + 449 = 496
53 + 443 = 496
107 + 389 = 496
113 + 383 = 496
137 + 359 = 496

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Small Letter J With Caron

U+01F0

Lowercase letter (Ll)

UTF-8 encoding: C7 B0 (2 bytes).

Lookup U+01F0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0001F0

RGB(0, 1, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.240.

Address: 0.0.1.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.240

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