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Number

4,049

4,049 is a prime, odd.

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

Properties

Parity
Odd
Digit count
4
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
12 bits
Reversed
9,404
Recamán's sequence
a(14,293) = 4,049
Square (n²)
16,394,401
Cube (n³)
66,380,929,649
Divisor count
2
σ(n) — sum of divisors
4,050
φ(n) — Euler's totient
4,048

Primality

4,049 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 4049
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 4,049)
1 × 4049
First multiples
4,049 · 8,098 (double) · 12,147 · 16,196 · 20,245 · 24,294 · 28,343 · 32,392 · 36,441 · 40,490

Sums & aliquot sequence

As a sum of two squares: 32² + 55²
As consecutive integers: 2,024 + 2,025

Representations

In words
four thousand forty-nine
Ordinal
4049th
Binary
111111010001
Octal
7721
Hexadecimal
0xFD1
Base64
D9E=
One's complement
61,486 (16-bit)
In other bases
ternary (3) 12112222
quaternary (4) 333101
quinary (5) 112144
senary (6) 30425
septenary (7) 14543
nonary (9) 5488
undecimal (11) 3051
duodecimal (12) 2415
tridecimal (13) 1ac6
tetradecimal (14) 1693
pentadecimal (15) 12ee

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δμθʹ
Mayan (base 20)
𝋪·𝋢·𝋩
Chinese
四千零四十九
Chinese (financial)
肆仟零肆拾玖
In other modern scripts
Eastern Arabic ٤٠٤٩ Devanagari ४०४९ Bengali ৪০৪৯ Tamil ௪௦௪௯ Thai ๔๐๔๙ Tibetan ༤༠༤༩ Khmer ៤០៤៩ Lao ໔໐໔໙ Burmese ၄၀၄၉

Digit at this position in famous constants

π — Pi (π)
Digit 4,049 = 0
e — Euler's number (e)
Digit 4,049 = 9
φ — Golden ratio (φ)
Digit 4,049 = 2
√2 — Pythagoras's (√2)
Digit 4,049 = 7
ln 2 — Natural log of 2
Digit 4,049 = 3
γ — Euler-Mascheroni (γ)
Digit 4,049 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 4,027 (gap of 22)
  • Next prime: 4,051 (gap of 2)

Pair status: twin with 4051.

Unicode codepoint
Tibetan Mark Mnyam Yig Gi Mgo Rgyan
U+0FD1
Other punctuation (Po)

UTF-8 encoding: E0 BF 91 (3 bytes).

Hex color
#000FD1
RGB(0, 15, 209)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.209.

Address
0.0.15.209
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.15.209

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

Position in π

The digit sequence 4049 first appears in π at position 14,941 of the decimal expansion (the 14,941ordinal-suffix:st 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.