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483,840

483,840 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.).

483,840 (four hundred eighty-three thousand eight hundred forty) is an even 6-digit number. It is a composite number with 160 divisors, and factors as 2⁹ × 3³ × 5 × 7. Its proper divisors sum to 1,480,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x76200.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
48,384
Square (n²)
234,101,145,600
Cube (n³)
113,267,498,287,104,000
Divisor count
160
σ(n) — sum of divisors
1,964,160
φ(n) — Euler's totient
110,592
Sum of prime factors
39

Primality

Prime factorization: 2 9 × 3 3 × 5 × 7

Nearest primes: 483,839 (−1) · 483,853 (+13)

Divisors & multiples

All divisors (160)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 12 · 14 · 15 · 16 · 18 · 20 · 21 · 24 · 27 · 28 · 30 · 32 · 35 · 36 · 40 · 42 · 45 · 48 · 54 · 56 · 60 · 63 · 64 · 70 · 72 · 80 · 84 · 90 · 96 · 105 · 108 · 112 · 120 · 126 · 128 · 135 · 140 · 144 · 160 · 168 · 180 · 189 · 192 · 210 · 216 · 224 · 240 · 252 · 256 · 270 · 280 · 288 · 315 · 320 · 336 · 360 · 378 · 384 · 420 · 432 · 448 · 480 · 504 · 512 · 540 · 560 · 576 · 630 · 640 · 672 · 720 · 756 · 768 · 840 · 864 · 896 · 945 · 960 · 1008 · 1080 · 1120 · 1152 · 1260 · 1280 · 1344 · 1440 · 1512 · 1536 · 1680 · 1728 · 1792 · 1890 · 1920 · 2016 · 2160 · 2240 · 2304 · 2520 · 2560 · 2688 · 2880 · 3024 · 3360 · 3456 · 3584 · 3780 · 3840 · 4032 · 4320 · 4480 · 4608 · 5040 · 5376 · 5760 · 6048 · 6720 · 6912 · 7560 · 7680 · 8064 · 8640 · 8960 · 10080 · 10752 · 11520 · 12096 · 13440 · 13824 · 15120 · 16128 · 17280 · 17920 · 20160 · 23040 · 24192 · 26880 · 30240 · 32256 · 34560 · 40320 · 48384 · 53760 · 60480 · 69120 · 80640 · 96768 · 120960 · 161280 · 241920 (half) · 483840
Aliquot sum (sum of proper divisors): 1,480,320
Factor pairs (a × b = 483,840)
1 × 483840
2 × 241920
3 × 161280
4 × 120960
5 × 96768
6 × 80640
7 × 69120
8 × 60480
9 × 53760
10 × 48384
12 × 40320
14 × 34560
15 × 32256
16 × 30240
18 × 26880
20 × 24192
21 × 23040
24 × 20160
27 × 17920
28 × 17280
30 × 16128
32 × 15120
35 × 13824
36 × 13440
40 × 12096
42 × 11520
45 × 10752
48 × 10080
54 × 8960
56 × 8640
60 × 8064
63 × 7680
64 × 7560
70 × 6912
72 × 6720
80 × 6048
84 × 5760
90 × 5376
96 × 5040
105 × 4608
108 × 4480
112 × 4320
120 × 4032
126 × 3840
128 × 3780
135 × 3584
140 × 3456
144 × 3360
160 × 3024
168 × 2880
180 × 2688
189 × 2560
192 × 2520
210 × 2304
216 × 2240
224 × 2160
240 × 2016
252 × 1920
256 × 1890
270 × 1792
280 × 1728
288 × 1680
315 × 1536
320 × 1512
336 × 1440
360 × 1344
378 × 1280
384 × 1260
420 × 1152
432 × 1120
448 × 1080
480 × 1008
504 × 960
512 × 945
540 × 896
560 × 864
576 × 840
630 × 768
640 × 756
672 × 720
First multiples
483,840 · 967,680 (double) · 1,451,520 · 1,935,360 · 2,419,200 · 2,903,040 · 3,386,880 · 3,870,720 · 4,354,560 · 4,838,400

Sums & aliquot sequence

As a sum of two cubes: 48³ + 72³
As consecutive integers: 161,279 + 161,280 + 161,281 96,766 + 96,767 + 96,768 + 96,769 + 96,770 69,117 + 69,118 + … + 69,123 53,756 + 53,757 + … + 53,764
Aliquot sequence: 483,840 1,480,320 3,651,300 7,796,318 3,912,442 2,315,558 1,653,994 827,000 1,110,520 1,388,240 2,456,752 2,330,888 2,723,512 2,847,488 3,793,468 3,921,316 4,263,644 — unresolved within range

Continued fraction of √n

√483,840 = [695; (1, 1, 2, 2, 2, 9, 4, 21, 2, 38, 6, 2, 4, 86, 1, 2, 1, 1, 1, 1, 1, 153, 1, 20, …)]

Representations

In words
four hundred eighty-three thousand eight hundred forty
Ordinal
483840th
Binary
1110110001000000000
Octal
1661000
Hexadecimal
0x76200
Base64
B2IA
One's complement
4,294,483,455 (32-bit)
Scientific notation
4.8384 × 10⁵
As a duration
483,840 s = 5 days, 14 hours, 24 minutes
In other bases
ternary (3) 220120201000
quaternary (4) 1312020000
quinary (5) 110440330
senary (6) 14212000
septenary (7) 4053420
nonary (9) 816630
undecimal (11) 300575
duodecimal (12) 1b4000
tridecimal (13) 13c2c6
tetradecimal (14) c8480
pentadecimal (15) 98560

As an angle

483,840° = 1,344 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υπγωμʹ
Chinese
四十八萬三千八百四十
Chinese (financial)
肆拾捌萬參仟捌佰肆拾
In other modern scripts
Eastern Arabic ٤٨٣٨٤٠ Devanagari ४८३८४० Bengali ৪৮৩৮৪০ Tamil ௪௮௩௮௪௦ Thai ๔๘๓๘๔๐ Tibetan ༤༨༣༨༤༠ Khmer ៤៨៣៨៤០ Lao ໔໘໓໘໔໐ Burmese ၄၈၃၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 483840, here are decompositions:

  • 11 + 483829 = 483840
  • 13 + 483827 = 483840
  • 29 + 483811 = 483840
  • 31 + 483809 = 483840
  • 53 + 483787 = 483840
  • 67 + 483773 = 483840
  • 73 + 483767 = 483840
  • 79 + 483761 = 483840

Showing the first eight; more decompositions exist.

Hex color
#076200
RGB(7, 98, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.98.0.

Address
0.7.98.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.98.0

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 483,840 and was likely granted around 1892.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.