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489,840

489,840 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.).

489,840 (four hundred eighty-nine thousand eight hundred forty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 13 × 157. Its proper divisors sum to 1,155,888, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77970.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Refactorable Number Smith Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
33
Digit product
0
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
48,984
Square (n²)
239,943,225,600
Cube (n³)
117,533,789,627,904,000
Divisor count
80
σ(n) — sum of divisors
1,645,728
φ(n) — Euler's totient
119,808
Sum of prime factors
186

Primality

Prime factorization: 2 4 × 3 × 5 × 13 × 157

Nearest primes: 489,833 (−7) · 489,847 (+7)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 13 · 15 · 16 · 20 · 24 · 26 · 30 · 39 · 40 · 48 · 52 · 60 · 65 · 78 · 80 · 104 · 120 · 130 · 156 · 157 · 195 · 208 · 240 · 260 · 312 · 314 · 390 · 471 · 520 · 624 · 628 · 780 · 785 · 942 · 1040 · 1256 · 1560 · 1570 · 1884 · 2041 · 2355 · 2512 · 3120 · 3140 · 3768 · 4082 · 4710 · 6123 · 6280 · 7536 · 8164 · 9420 · 10205 · 12246 · 12560 · 16328 · 18840 · 20410 · 24492 · 30615 · 32656 · 37680 · 40820 · 48984 · 61230 · 81640 · 97968 · 122460 · 163280 · 244920 (half) · 489840
Aliquot sum (sum of proper divisors): 1,155,888
Factor pairs (a × b = 489,840)
1 × 489840
2 × 244920
3 × 163280
4 × 122460
5 × 97968
6 × 81640
8 × 61230
10 × 48984
12 × 40820
13 × 37680
15 × 32656
16 × 30615
20 × 24492
24 × 20410
26 × 18840
30 × 16328
39 × 12560
40 × 12246
48 × 10205
52 × 9420
60 × 8164
65 × 7536
78 × 6280
80 × 6123
104 × 4710
120 × 4082
130 × 3768
156 × 3140
157 × 3120
195 × 2512
208 × 2355
240 × 2041
260 × 1884
312 × 1570
314 × 1560
390 × 1256
471 × 1040
520 × 942
624 × 785
628 × 780
First multiples
489,840 · 979,680 (double) · 1,469,520 · 1,959,360 · 2,449,200 · 2,939,040 · 3,428,880 · 3,918,720 · 4,408,560 · 4,898,400

Sums & aliquot sequence

As consecutive integers: 163,279 + 163,280 + 163,281 97,966 + 97,967 + 97,968 + 97,969 + 97,970 37,674 + 37,675 + … + 37,686 32,649 + 32,650 + … + 32,663
Aliquot sequence: 489,840 1,155,888 2,229,312 4,025,184 7,006,368 11,712,192 19,276,824 35,800,296 66,486,744 128,500,776 228,446,424 438,874,776 801,428,184 1,378,235,016 2,585,818,584 4,417,440,276 6,627,768,108 — unresolved within range

Continued fraction of √n

√489,840 = [699; (1, 7, 1, 2, 1, 86, 1, 2, 1, 7, 1, 1398)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
four hundred eighty-nine thousand eight hundred forty
Ordinal
489840th
Binary
1110111100101110000
Octal
1674560
Hexadecimal
0x77970
Base64
B3lw
One's complement
4,294,477,455 (32-bit)
Scientific notation
4.8984 × 10⁵
As a duration
489,840 s = 5 days, 16 hours, 4 minutes
In other bases
ternary (3) 220212221020
quaternary (4) 1313211300
quinary (5) 111133330
senary (6) 14255440
septenary (7) 4110051
nonary (9) 825836
undecimal (11) 30502a
duodecimal (12) 1b7580
tridecimal (13) 141c60
tetradecimal (14) ca728
pentadecimal (15) 9a210

As an angle

489,840° = 1,360 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υπθωμʹ
Chinese
四十八萬九千八百四十
Chinese (financial)
肆拾捌萬玖仟捌佰肆拾
In other modern scripts
Eastern Arabic ٤٨٩٨٤٠ Devanagari ४८९८४० Bengali ৪৮৯৮৪০ Tamil ௪௮௯௮௪௦ Thai ๔๘๙๘๔๐ Tibetan ༤༨༩༨༤༠ Khmer ៤៨៩៨៤០ Lao ໔໘໙໘໔໐ Burmese ၄၈၉၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 489840, here are decompositions:

  • 7 + 489833 = 489840
  • 17 + 489823 = 489840
  • 23 + 489817 = 489840
  • 37 + 489803 = 489840
  • 41 + 489799 = 489840
  • 47 + 489793 = 489840
  • 79 + 489761 = 489840
  • 97 + 489743 = 489840

Showing the first eight; more decompositions exist.

Hex color
#077970
RGB(7, 121, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.121.112.

Address
0.7.121.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.121.112

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 489,840 and was likely granted around 1892.

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

Position in π

The digit sequence 489840 first appears in π at position 110,283 of the decimal expansion (the 110,283ordinal-suffix:rd 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°.