Number

749

749 is a composite number, odd, a calendar year.

749 (seven hundred forty-nine) is an odd 3-digit number. It is a composite number with 4 divisors, and factors as 7 × 107. Written other ways, in Roman numerals it is DCCXLIX and in binary, 1011101101.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Self Number Semiprime Squarefree Year

Interestingness

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6 notable facts · grade B

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Historical context — 749 AD

Calendar year

Year 749 (DCCXLIX) was a common year starting on Wednesday of the Julian calendar, the 749th year of the Common Era (CE) and Anno Domini (AD) designations, the 749th year of the 1st millennium, the 49th year of the 8th century, and the 10th and last year of the 740s decade.The…

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 749 BC

Decade

This article concerns the period 749 BC – 740 BC.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

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: Saturday
January 1, 749
Ended on: Saturday
December 31, 749
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 740s
740–749
Century: 8th century
701–800
Millennium: 1st millennium
1–1000
Years ago: 1,277
1277 years before 2026.

In other calendars

Hebrew: 4509 / 4510 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 131 / 132 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: 1292 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 127 / 128 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 741 / 742 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 671 / 670 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 20
Digit product: 252
Digital root: 2
Palindrome: No
Bit width: 10 bits
Reversed: 947
Recamán's sequence: a(933) = 749
Square (n²): 561,001
Cube (n³): 420,189,749
Divisor count: 4
σ(n) — sum of divisors: 864
φ(n) — Euler's totient: 636
Sum of prime factors: 114

Primality

Prime factorization: 7 × 107

Nearest primes: 743 (−6) · 751 (+2)

Divisors & multiples

All divisors (4)

1 · 7 · 107 · 749

Aliquot sum (sum of proper divisors): 115

Factor pairs (a × b = 749)

1 × 749

7 × 107

First multiples

749 · 1,498 (double) · 2,247 · 2,996 · 3,745 · 4,494 · 5,243 · 5,992 · 6,741 · 7,490

Sums & aliquot sequence

As consecutive integers: 374 + 375 104 + 105 + … + 110 47 + 48 + … + 60

Aliquot sequence: 749 → 115 → 29 → 1 → 0 — terminates at zero

Continued fraction of √n

√749 = [27; (2, 1, 2, 1, 1, 4, 2, 1, 1, 13, 10, 1, 6, 1, 10, 13, 1, 1, 2, 4, 1, 1, 2, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: seven hundred forty-nine
Ordinal: 749th
Roman numeral: DCCXLIX
Binary: 1011101101
Octal: 1355
Hexadecimal: 0x2ED
Base64: Au0=
One's complement: 64,786 (16-bit)
Scientific notation: 7.49 × 10²
As a duration: 749 s = 12 minutes, 29 seconds

In other bases

ternary (3) 1000202

quaternary (4) 23231

quinary (5) 10444

senary (6) 3245

septenary (7) 2120

nonary (9) 1022

undecimal (11) 621

duodecimal (12) 525

tridecimal (13) 458

tetradecimal (14) 3b7

pentadecimal (15) 34e

Palindromic in base 12

As an angle

749° = 2 × 360° + 29°

29° ≈ 0.506 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ψμθʹ
Mayan (base 20): 𝋡·𝋱·𝋩
Chinese: 七百四十九
Chinese (financial): 柒佰肆拾玖

In other modern scripts

Eastern Arabic ٧٤٩ Devanagari ७४९ Bengali ৭৪৯ Tamil ௭௪௯ Thai ๗๔๙ Tibetan ༧༤༩ Khmer ៧៤៩ Lao ໗໔໙ Burmese ၇၄၉

Digit at this position in famous constants

π — Pi (π): Digit 749 = 9
e — Euler's number (e): Digit 749 = 4
φ — Golden ratio (φ): Digit 749 = 5
√2 — Pythagoras's (√2): Digit 749 = 0
ln 2 — Natural log of 2: Digit 749 = 2
γ — Euler-Mascheroni (γ): Digit 749 = 4

Also seen as

Unicode codepoint

Modifier Letter Unaspirated

U+02ED

Modifier symbol (Sk)

UTF-8 encoding: CB AD (2 bytes).

Lookup U+02ED on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0002ED

RGB(0, 2, 237)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.237.

Address: 0.0.2.237
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.237

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

Musical pitch

Heard as a frequency, 749 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯5 (740 Hz, +21¢)
Scientific pitch (C4 = 256 Hz): G5 (767.1 Hz, -41¢)
Baroque pitch (A4 = 415 Hz): G5 (739.4 Hz, +22¢)