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Number

1,448

1,448 is a composite number, even, a calendar year.

Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence Year

Historical context — 1448 AD

Calendar year

Year 1448 (MCDXLVIII) 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 →

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
Saturday
January 1, 1448
Ended on
Sunday
December 31, 1448
Friday the 13ths
1
One Friday the 13th this year.
Decade
1440s
1440–1449
Century
15th century
1401–1500
Millennium
2nd millennium
1001–2000
Years ago
578
578 years before 2026.

In other calendars

Hebrew
5208 / 5209 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
851 / 852 AH
Lunar calendar; year spans differ from Gregorian.
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
1991 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
826 / 827 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1440 / 1441 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1370 / 1369 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
17
Digit product
128
Digital root
8
Palindrome
No
Bit width
11 bits
Reversed
8,441
Recamán's sequence
a(1,664) = 1,448
Square (n²)
2,096,704
Cube (n³)
3,036,027,392
Divisor count
8
σ(n) — sum of divisors
2,730
φ(n) — Euler's totient
720
Sum of prime factors
187

Primality

Prime factorization: 2 3 × 181

Nearest primes: 1,447 (−1) · 1,451 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 181 · 362 · 724 (half) · 1448
Aliquot sum (sum of proper divisors): 1,282
Factor pairs (a × b = 1,448)
1 × 1448
2 × 724
4 × 362
8 × 181
First multiples
1,448 · 2,896 (double) · 4,344 · 5,792 · 7,240 · 8,688 · 10,136 · 11,584 · 13,032 · 14,480

Sums & aliquot sequence

As a sum of two squares: 2² + 38²
As consecutive integers: 83 + 84 + … + 98
Aliquot sequence: 1,448 1,282 644 700 1,036 1,092 2,044 2,100 4,844 4,900 7,469 1,939 285 195 141 51 21 — unresolved within range

Representations

In words
one thousand four hundred forty-eight
Ordinal
1448th
Roman numeral
MCDXLVIII
Binary
10110101000
Octal
2650
Hexadecimal
0x5A8
Base64
Bag=
One's complement
64,087 (16-bit)
In other bases
ternary (3) 1222122
quaternary (4) 112220
quinary (5) 21243
senary (6) 10412
septenary (7) 4136
nonary (9) 1878
undecimal (11) 10a7
duodecimal (12) a08
tridecimal (13) 875
tetradecimal (14) 756
pentadecimal (15) 668

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αυμηʹ
Mayan (base 20)
𝋣·𝋬·𝋨
Chinese
一千四百四十八
Chinese (financial)
壹仟肆佰肆拾捌
In other modern scripts
Eastern Arabic ١٤٤٨ Devanagari १४४८ Bengali ১৪৪৮ Tamil ௧௪௪௮ Thai ๑๔๔๘ Tibetan ༡༤༤༨ Khmer ១៤៤៨ Lao ໑໔໔໘ Burmese ၁၄၄၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,448 = 9
e — Euler's number (e)
Digit 1,448 = 6
φ — Golden ratio (φ)
Digit 1,448 = 0
√2 — Pythagoras's (√2)
Digit 1,448 = 7
ln 2 — Natural log of 2
Digit 1,448 = 4
γ — Euler-Mascheroni (γ)
Digit 1,448 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1448, here are decompositions:

  • 19 + 1429 = 1448
  • 67 + 1381 = 1448
  • 127 + 1321 = 1448
  • 151 + 1297 = 1448
  • 157 + 1291 = 1448
  • 199 + 1249 = 1448
  • 211 + 1237 = 1448
  • 277 + 1171 = 1448

Showing the first eight; more decompositions exist.

Unicode codepoint
֨
Hebrew Accent Qadma
U+05A8
Non-spacing mark (Mn)

UTF-8 encoding: D6 A8 (2 bytes).

Hex color
#0005A8
RGB(0, 5, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.168.

Address
0.0.5.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.168

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

Position in π

The digit sequence 1448 first appears in π at position 35,749 of the decimal expansion (the 35,749ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.