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Number

1,049

1,049 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree Twin Prime Year

Historical context — 1049 AD

Calendar year

Year 1049 (MXLIX) was a common year starting on Sunday of the Julian calendar.

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Year facts

Year type
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year
365
ISO weeks
52
Started on
Monday
January 1, 1049
Ended on
Monday
December 31, 1049
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1040s
1040–1049
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
977
977 years before 2026.

In other calendars

Hebrew
4809 / 4810 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
440 / 441 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Ox
Sexagenary cycle position 26 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1592 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
427 / 428 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1041 / 1042 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
971 / 970 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
11 bits
Reversed
9,401
Recamán's sequence
a(4,321) = 1,049
Square (n²)
1,100,401
Cube (n³)
1,154,320,649
Divisor count
2
σ(n) — sum of divisors
1,050
φ(n) — Euler's totient
1,048

Primality

1,049 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1049
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,049)
1 × 1049
First multiples
1,049 · 2,098 (double) · 3,147 · 4,196 · 5,245 · 6,294 · 7,343 · 8,392 · 9,441 · 10,490

Sums & aliquot sequence

As a sum of two squares: 5² + 32²
As consecutive integers: 524 + 525

Representations

In words
one thousand forty-nine
Ordinal
1049th
Roman numeral
MXLIX
Binary
10000011001
Octal
2031
Hexadecimal
0x419
Base64
BBk=
One's complement
64,486 (16-bit)
In other bases
ternary (3) 1102212
quaternary (4) 100121
quinary (5) 13144
senary (6) 4505
septenary (7) 3026
nonary (9) 1385
undecimal (11) 874
duodecimal (12) 735
tridecimal (13) 629
tetradecimal (14) 54d
pentadecimal (15) 49e

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αμθʹ
Mayan (base 20)
𝋢·𝋬·𝋩
Chinese
一千零四十九
Chinese (financial)
壹仟零肆拾玖
In other modern scripts
Eastern Arabic ١٠٤٩ Devanagari १०४९ Bengali ১০৪৯ Tamil ௧௦௪௯ Thai ๑๐๔๙ Tibetan ༡༠༤༩ Khmer ១០៤៩ Lao ໑໐໔໙ Burmese ၁၀၄၉

Digit at this position in famous constants

π — Pi (π)
Digit 1,049 = 9
e — Euler's number (e)
Digit 1,049 = 2
φ — Golden ratio (φ)
Digit 1,049 = 0
√2 — Pythagoras's (√2)
Digit 1,049 = 4
ln 2 — Natural log of 2
Digit 1,049 = 5
γ — Euler-Mascheroni (γ)
Digit 1,049 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 1,039 (gap of 10)
  • Next prime: 1,051 (gap of 2)

Pair status: twin with 1051.

Unicode codepoint
Й
Cyrillic Capital Letter Short I
U+0419
Uppercase letter (Lu)

UTF-8 encoding: D0 99 (2 bytes).

Hex color
#000419
RGB(0, 4, 25)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.25.

Address
0.0.4.25
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.25

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

Position in π

The digit sequence 1049 first appears in π at position 2,238 of the decimal expansion (the 2,238ordinal-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.