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48,384

48,384 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).
Abundant Number Evil Number Harshad / Niven Palindrome Practical Number Recamán's Sequence Weird Number

Properties

Parity
Even
Digit count
5
Digit sum
27
Digit product
3,072
Digital root
9
Palindrome
Yes
Bit width
16 bits
Recamán's sequence
a(65,124) = 48,384
Square (n²)
2,341,011,456
Cube (n³)
113,267,498,287,104
Divisor count
72
σ(n) — sum of divisors
163,520
φ(n) — Euler's totient
13,824
Sum of prime factors
32

Primality

Prime factorization: 2 8 × 3 3 × 7

Nearest primes: 48,383 (−1) · 48,397 (+13)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 16 · 18 · 21 · 24 · 27 · 28 · 32 · 36 · 42 · 48 · 54 · 56 · 63 · 64 · 72 · 84 · 96 · 108 · 112 · 126 · 128 · 144 · 168 · 189 · 192 · 216 · 224 · 252 · 256 · 288 · 336 · 378 · 384 · 432 · 448 · 504 · 576 · 672 · 756 · 768 · 864 · 896 · 1008 · 1152 · 1344 · 1512 · 1728 · 1792 · 2016 · 2304 · 2688 · 3024 · 3456 · 4032 · 5376 · 6048 · 6912 · 8064 · 12096 · 16128 · 24192 (half) · 48384
Aliquot sum (sum of proper divisors): 115,136
Factor pairs (a × b = 48,384)
1 × 48384
2 × 24192
3 × 16128
4 × 12096
6 × 8064
7 × 6912
8 × 6048
9 × 5376
12 × 4032
14 × 3456
16 × 3024
18 × 2688
21 × 2304
24 × 2016
27 × 1792
28 × 1728
32 × 1512
36 × 1344
42 × 1152
48 × 1008
54 × 896
56 × 864
63 × 768
64 × 756
72 × 672
84 × 576
96 × 504
108 × 448
112 × 432
126 × 384
128 × 378
144 × 336
168 × 288
189 × 256
192 × 252
216 × 224
First multiples
48,384 · 96,768 (double) · 145,152 · 193,536 · 241,920 · 290,304 · 338,688 · 387,072 · 435,456 · 483,840

Sums & aliquot sequence

As consecutive integers: 16,127 + 16,128 + 16,129 6,909 + 6,910 + … + 6,915 5,372 + 5,373 + … + 5,380 2,294 + 2,295 + … + 2,314
Aliquot sequence: 48,384 115,136 146,992 137,836 117,692 88,276 71,744 80,656 77,847 51,945 31,191 11,673 5,201 751 1 0 — terminates at zero

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)
In other bases
ternary (3) 2110101000
quaternary (4) 23310000
quinary (5) 3022014
senary (6) 1012000
septenary (7) 261030
nonary (9) 73330
undecimal (11) 33396
duodecimal (12) 24000
tridecimal (13) 1903b
tetradecimal (14) 138c0
pentadecimal (15) e509

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
In other modern scripts
Eastern Arabic ٤٨٣٨٤ Devanagari ४८३८४ Bengali ৪৮৩৮৪ Tamil ௪௮௩௮௪ Thai ๔๘๓๘๔ Tibetan ༤༨༣༨༤ Khmer ៤៨៣៨៤ Lao ໔໘໓໘໔ Burmese ၄၈၃၈၄

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 decomposition

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.

Unicode codepoint
Hangul Syllable Bols
U+BD00
Other letter (Lo)

UTF-8 encoding: EB B4 80 (3 bytes).

Hex color
#00BD00
RGB(0, 189, 0)
IPv4 address

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.

Position in π

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.