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475,080

475,080 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.).

475,080 (four hundred seventy-five thousand eighty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 37 × 107. Its proper divisors sum to 1,002,360, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73FC8.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
80,574
Square (n²)
225,701,006,400
Cube (n³)
107,226,034,120,512,000
Divisor count
64
σ(n) — sum of divisors
1,477,440
φ(n) — Euler's totient
122,112
Sum of prime factors
158

Primality

Prime factorization: 2 3 × 3 × 5 × 37 × 107

Nearest primes: 475,073 (−7) · 475,081 (+1)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 37 · 40 · 60 · 74 · 107 · 111 · 120 · 148 · 185 · 214 · 222 · 296 · 321 · 370 · 428 · 444 · 535 · 555 · 642 · 740 · 856 · 888 · 1070 · 1110 · 1284 · 1480 · 1605 · 2140 · 2220 · 2568 · 3210 · 3959 · 4280 · 4440 · 6420 · 7918 · 11877 · 12840 · 15836 · 19795 · 23754 · 31672 · 39590 · 47508 · 59385 · 79180 · 95016 · 118770 · 158360 · 237540 (half) · 475080
Aliquot sum (sum of proper divisors): 1,002,360
Factor pairs (a × b = 475,080)
1 × 475080
2 × 237540
3 × 158360
4 × 118770
5 × 95016
6 × 79180
8 × 59385
10 × 47508
12 × 39590
15 × 31672
20 × 23754
24 × 19795
30 × 15836
37 × 12840
40 × 11877
60 × 7918
74 × 6420
107 × 4440
111 × 4280
120 × 3959
148 × 3210
185 × 2568
214 × 2220
222 × 2140
296 × 1605
321 × 1480
370 × 1284
428 × 1110
444 × 1070
535 × 888
555 × 856
642 × 740
First multiples
475,080 · 950,160 (double) · 1,425,240 · 1,900,320 · 2,375,400 · 2,850,480 · 3,325,560 · 3,800,640 · 4,275,720 · 4,750,800

Sums & aliquot sequence

As consecutive integers: 158,359 + 158,360 + 158,361 95,014 + 95,015 + 95,016 + 95,017 + 95,018 31,665 + 31,666 + … + 31,679 29,685 + 29,686 + … + 29,700
Aliquot sequence: 475,080 1,002,360 2,005,080 5,874,600 12,338,520 24,921,480 49,843,320 111,819,720 224,388,600 471,217,920 1,092,466,608 1,790,265,552 2,834,587,248 4,491,010,848 8,034,880,992 13,056,681,864 — keeps growing

Continued fraction of √n

√475,080 = [689; (3, 1, 5, 4, 1, 1, 2, 9, 1, 2, 1, 10, 1, 2, 1, 9, 2, 1, 1, 4, 5, 1, 3, 1378)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-five thousand eighty
Ordinal
475080th
Binary
1110011111111001000
Octal
1637710
Hexadecimal
0x73FC8
Base64
Bz/I
One's complement
4,294,492,215 (32-bit)
Scientific notation
4.7508 × 10⁵
As a duration
475,080 s = 5 days, 11 hours, 58 minutes
In other bases
ternary (3) 220010200120
quaternary (4) 1303333020
quinary (5) 110200310
senary (6) 14103240
septenary (7) 4016034
nonary (9) 803616
undecimal (11) 2a4a31
duodecimal (12) 1aab20
tridecimal (13) 138318
tetradecimal (14) c51c4
pentadecimal (15) 95b70

As an angle

475,080° = 1,319 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υοεπʹ
Chinese
四十七萬五千零八十
Chinese (financial)
肆拾柒萬伍仟零捌拾
In other modern scripts
Eastern Arabic ٤٧٥٠٨٠ Devanagari ४७५०८० Bengali ৪৭৫০৮০ Tamil ௪௭௫௦௮௦ Thai ๔๗๕๐๘๐ Tibetan ༤༧༥༠༨༠ Khmer ៤៧៥០៨០ Lao ໔໗໕໐໘໐ Burmese ၄၇၅၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 475080, here are decompositions:

  • 7 + 475073 = 475080
  • 29 + 475051 = 475080
  • 43 + 475037 = 475080
  • 97 + 474983 = 475080
  • 103 + 474977 = 475080
  • 131 + 474949 = 475080
  • 139 + 474941 = 475080
  • 149 + 474931 = 475080

Showing the first eight; more decompositions exist.

Hex color
#073FC8
RGB(7, 63, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.63.200.

Address
0.7.63.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.63.200

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 475,080 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°.