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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 Harshad / Niven Palindrome

Properties

Parity
Even
Digit count
5
Digit sum
27
Digital root
9
Palindrome
Yes
Divisor count
72
σ(n) — sum of divisors
163,520

Primality

Prime factorization: 2 8 × 3 3 × 7

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 · 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 · 145,152 · 193,536 · 241,920 · 290,304 · 338,688 · 387,072 · 435,456 · 483,840

Representations

In words
forty-eight thousand three hundred eighty-four
Ordinal
48384th
Binary
1011110100000000
Octal
136400
Hexadecimal
BD00

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
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.