48,384
48,384 is a composite number, even.
48,384 (forty-eight thousand three hundred eighty-four) is an even 5-digit number. It is a composite number with 72 divisors, and factors as 2⁸ × 3³ × 7. Its proper divisors sum to 115,136, more than the number itself, making it an abundant number. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in hexadecimal, 0xBD00.
Interestingness
Properties
Primality
Prime factorization: 2 8 × 3 3 × 7
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√48,384 = [219; (1, 26, 2, 109, 2, 26, 1, 438)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- forty-eight thousand three hundred eighty-four
- Ordinal
- 48384th
- Binary
- 1011110100000000
- Octal
- 136400
- Hexadecimal
- 0xBD00
- Base64
- vQA=
- One's complement
- 17,151 (16-bit)
- Scientific notation
- 4.8384 × 10⁴
- As a duration
- 48,384 s = 13 hours, 26 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵μητπδʹ
- Mayan (base 20)
- 𝋦·𝋠·𝋳·𝋤
- Chinese
- 四萬八千三百八十四
- Chinese (financial)
- 肆萬捌仟參佰捌拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 48,384 = 2
- e — Euler's number (e)
- Digit 48,384 = 9
- φ — Golden ratio (φ)
- Digit 48,384 = 3
- √2 — Pythagoras's (√2)
- Digit 48,384 = 6
- ln 2 — Natural log of 2
- Digit 48,384 = 6
- γ — Euler-Mascheroni (γ)
- Digit 48,384 = 9
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 48384, here are decompositions:
- 13 + 48371 = 48384
- 31 + 48353 = 48384
- 43 + 48341 = 48384
- 47 + 48337 = 48384
- 71 + 48313 = 48384
- 73 + 48311 = 48384
- 103 + 48281 = 48384
- 113 + 48271 = 48384
Showing the first eight; more decompositions exist.
UTF-8 encoding: EB B4 80 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.189.0.
- Address
- 0.0.189.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.189.0
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 48384 first appears in π at position 123,746 of the decimal expansion (the 123,746ordinal-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.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.