4,049
4,049 is a prime, odd.
4,049 (four thousand forty-nine) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in binary, 111111010001.
Interestingness
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
Sums & aliquot sequence
Continued fraction of √n
√4,049 = [63; (1, 1, 1, 2, 1, 1, 15, 3, 25, 7, 1, 10, 1, 2, 3, 1, 3, 4, 1, 4, 1, 2, 1, 1, …)]
Period length 49 — the block in parentheses repeats forever.
Representations
- In words
- four thousand forty-nine
- Ordinal
- 4049th
- Binary
- 111111010001
- Octal
- 7721
- Hexadecimal
- 0xFD1
- Base64
- D9E=
- One's complement
- 61,486 (16-bit)
- Scientific notation
- 4.049 × 10³
- As a duration
- 4,049 s = 1 hour, 7 minutes, 29 seconds
As an angle
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
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
UTF-8 encoding: E0 BF 91 (3 bytes).
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.
Heard as a frequency, 4,049 Hz is closest to:
- Concert pitch (A4 = 440 Hz): B7 (3951.1 Hz, +42¢)
- Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, -20¢)
- Baroque pitch (A4 = 415 Hz): C8 (3948.2 Hz, +44¢)
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.
Related reading
- Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.