Number

448

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

Abundant Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 448 AD

Calendar year

Year 448 (CDXLVIII) was a leap year starting on Thursday of the Julian calendar.

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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 · 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: 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

Parity: Even
Digit count: 3
Digit sum: 16
Digit product: 128
Digital root: 7
Palindrome: No
Bit width: 9 bits
Reversed: 844
Recamán's sequence: a(4,747) = 448
Square (n²): 200,704
Cube (n³): 89,915,392
Divisor count: 14
σ(n) — sum of divisors: 1,016
φ(n) — Euler's totient: 192
Sum of prime factors: 19

Primality

Prime factorization: 2 ⁶ × 7

Nearest primes: 443 (−5) · 449 (+1)

Divisors & multiples

All divisors (14)

1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 56 · 64 · 112 · 224 (half) · 448

Aliquot sum (sum of proper divisors): 568

Factor pairs (a × b = 448)

1 × 448

2 × 224

4 × 112

7 × 64

8 × 56

14 × 32

16 × 28

First multiples

448 · 896 (double) · 1,344 · 1,792 · 2,240 · 2,688 · 3,136 · 3,584 · 4,032 · 4,480

Sums & aliquot sequence

As consecutive integers: 61 + 62 + … + 67

Aliquot sequence: 448 → 568 → 512 → 511 → 81 → 40 → 50 → 43 → 1 → 0 — terminates at zero

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)

In other bases

ternary (3) 121121

quaternary (4) 13000

quinary (5) 3243

senary (6) 2024

septenary (7) 1210

nonary (9) 547

undecimal (11) 378

duodecimal (12) 314

tridecimal (13) 286

tetradecimal (14) 240

pentadecimal (15) 1ed

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

In other modern scripts

Eastern Arabic ٤٤٨ Devanagari ४४८ Bengali ৪৪৮ Tamil ௪௪௮ Thai ๔๔๘ Tibetan ༤༤༨ Khmer ៤៤៨ Lao ໔໔໘ Burmese ၄၄၈

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 decomposition

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.

Unicode codepoint

Latin Letter Dental Click

U+01C0

Other letter (Lo)

UTF-8 encoding: C7 80 (2 bytes).

Lookup U+01C0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0001C0

RGB(0, 1, 192)

IPv4 address

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.