448
448 is a composite number, even, a calendar year.
448 (four hundred forty-eight) is an even 3-digit number. It is a composite number with 14 divisors, and factors as 2⁶ × 7. Its proper divisors sum to 568, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CDXLVIII and in binary, 111000000.
Interestingness
Historical context — 448 AD
Calendar year
Year 448 (CDXLVIII) was a leap 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 — 448 BC
Calendar year
Year 448 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, 448
- Ended on
-
Thursday
December 31, 448
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Decade
-
440s
440–449
- Century
-
5th century
401–500
- Millennium
-
1st millennium
1–1000
- Years ago
-
1,578
1578 years before 2026.
In other calendars
- Hebrew
-
4208 / 4209 AM
Rosh Hashanah falls in September/October.
- Chinese
-
Year of the zodiac:Earth zodiac:Rat
Sexagenary cycle position 25 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
991 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Ethiopian
-
440 / 441 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
370 / 369 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 2 6 × 7
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√448 = [21; (6, 42)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- four hundred forty-eight
- Ordinal
- 448th
- Roman numeral
- CDXLVIII
- Binary
- 111000000
- Octal
- 700
- Hexadecimal
- 0x1C0
- Base64
- AcA=
- One's complement
- 65,087 (16-bit)
- Scientific notation
- 4.48 × 10²
- As a duration
- 448 s = 7 minutes, 28 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- υμηʹ
- Mayan (base 20)
- 𝋡·𝋢·𝋨
- Chinese
- 四百四十八
- Chinese (financial)
- 肆佰肆拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 448 = 8
- e — Euler's number (e)
- Digit 448 = 3
- φ — Golden ratio (φ)
- Digit 448 = 8
- √2 — Pythagoras's (√2)
- Digit 448 = 8
- ln 2 — Natural log of 2
- Digit 448 = 9
- γ — Euler-Mascheroni (γ)
- Digit 448 = 7
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 448, here are decompositions:
- 5 + 443 = 448
- 17 + 431 = 448
- 29 + 419 = 448
- 47 + 401 = 448
- 59 + 389 = 448
- 89 + 359 = 448
- 101 + 347 = 448
- 131 + 317 = 448
Showing the first eight; more decompositions exist.
UTF-8 encoding: C7 80 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.192.
- Address
- 0.0.1.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.1.192
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 448 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A4 (440 Hz, +31¢)
- Scientific pitch (C4 = 256 Hz): A♯4 (456.1 Hz, -31¢)
- Baroque pitch (A4 = 415 Hz): A♯4 (439.7 Hz, +32¢)
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.