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Number

1,249

1,249 is a prime, odd, a calendar year.

Arithmetic Number Ascending Digits Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Year

Historical context — 1249 AD

Calendar year

Year 1249 (MCCXLIX) was a common year starting on Friday 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
Friday
January 1, 1249
Ended on
Friday
December 31, 1249
Friday the 13ths
1
One Friday the 13th this year.
Decade
1240s
1240–1249
Century
13th century
1201–1300
Millennium
2nd millennium
1001–2000
Years ago
777
777 years before 2026.

In other calendars

Hebrew
5009 / 5010 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
646 / 647 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Rooster
Sexagenary cycle position 46 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1792 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
627 / 628 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1241 / 1242 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1171 / 1170 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
16
Digit product
72
Digital root
7
Palindrome
No
Bit width
11 bits
Reversed
9,421
Recamán's sequence
a(8,490) = 1,249
Square (n²)
1,560,001
Cube (n³)
1,948,441,249
Divisor count
2
σ(n) — sum of divisors
1,250
φ(n) — Euler's totient
1,248

Primality

1,249 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1249
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,249)
1 × 1249
First multiples
1,249 · 2,498 (double) · 3,747 · 4,996 · 6,245 · 7,494 · 8,743 · 9,992 · 11,241 · 12,490

Sums & aliquot sequence

As a sum of two squares: 15² + 32²
As consecutive integers: 624 + 625

Representations

In words
one thousand two hundred forty-nine
Ordinal
1249th
Roman numeral
MCCXLIX
Binary
10011100001
Octal
2341
Hexadecimal
0x4E1
Base64
BOE=
One's complement
64,286 (16-bit)
In other bases
ternary (3) 1201021
quaternary (4) 103201
quinary (5) 14444
senary (6) 5441
septenary (7) 3433
nonary (9) 1637
undecimal (11) a36
duodecimal (12) 881
tridecimal (13) 751
tetradecimal (14) 653
pentadecimal (15) 584

Historical numeral systems

Babylonian (base 60)
𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ασμθʹ
Mayan (base 20)
𝋣·𝋢·𝋩
Chinese
一千二百四十九
Chinese (financial)
壹仟貳佰肆拾玖
In other modern scripts
Eastern Arabic ١٢٤٩ Devanagari १२४९ Bengali ১২৪৯ Tamil ௧௨௪௯ Thai ๑๒๔๙ Tibetan ༡༢༤༩ Khmer ១២៤៩ Lao ໑໒໔໙ Burmese ၁၂၄၉

Digit at this position in famous constants

π — Pi (π)
Digit 1,249 = 7
e — Euler's number (e)
Digit 1,249 = 2
φ — Golden ratio (φ)
Digit 1,249 = 7
√2 — Pythagoras's (√2)
Digit 1,249 = 8
ln 2 — Natural log of 2
Digit 1,249 = 7
γ — Euler-Mascheroni (γ)
Digit 1,249 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 1,237 (gap of 12)
  • Next prime: 1,259 (gap of 10)
Unicode codepoint
ӡ
Cyrillic Small Letter Abkhasian Dze
U+04E1
Lowercase letter (Ll)

UTF-8 encoding: D3 A1 (2 bytes).

Hex color
#0004E1
RGB(0, 4, 225)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.225.

Address
0.0.4.225
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.225

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

Position in π

The digit sequence 1249 first appears in π at position 1,080 of the decimal expansion (the 1,080ordinal-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.