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470,442

470,442 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.).

470,442 (four hundred seventy thousand four hundred forty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 7 × 23 × 487. Its proper divisors sum to 653,910, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72DAA.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
244,074
Square (n²)
221,315,675,364
Cube (n³)
104,116,188,949,590,888
Divisor count
32
σ(n) — sum of divisors
1,124,352
φ(n) — Euler's totient
128,304
Sum of prime factors
522

Primality

Prime factorization: 2 × 3 × 7 × 23 × 487

Nearest primes: 470,429 (−13) · 470,443 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 7 · 14 · 21 · 23 · 42 · 46 · 69 · 138 · 161 · 322 · 483 · 487 · 966 · 974 · 1461 · 2922 · 3409 · 6818 · 10227 · 11201 · 20454 · 22402 · 33603 · 67206 · 78407 · 156814 · 235221 (half) · 470442
Aliquot sum (sum of proper divisors): 653,910
Factor pairs (a × b = 470,442)
1 × 470442
2 × 235221
3 × 156814
6 × 78407
7 × 67206
14 × 33603
21 × 22402
23 × 20454
42 × 11201
46 × 10227
69 × 6818
138 × 3409
161 × 2922
322 × 1461
483 × 974
487 × 966
First multiples
470,442 · 940,884 (double) · 1,411,326 · 1,881,768 · 2,352,210 · 2,822,652 · 3,293,094 · 3,763,536 · 4,233,978 · 4,704,420

Sums & aliquot sequence

As consecutive integers: 156,813 + 156,814 + 156,815 117,609 + 117,610 + 117,611 + 117,612 67,203 + 67,204 + … + 67,209 39,198 + 39,199 + … + 39,209
Aliquot sequence: 470,442 653,910 942,762 942,774 1,212,234 1,224,246 1,353,354 1,368,726 1,388,058 1,784,742 1,784,754 2,397,006 2,929,794 3,859,326 4,823,466 4,823,478 7,256,538 — unresolved within range

Continued fraction of √n

√470,442 = [685; (1, 7, 1, 9, 1, 10, 2, 3, 80, 2, 2, 7, 2, 1, 6, 6, 1, 22, 1, 3, 1, 3, 1, 2, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy thousand four hundred forty-two
Ordinal
470442nd
Binary
1110010110110101010
Octal
1626652
Hexadecimal
0x72DAA
Base64
By2q
One's complement
4,294,496,853 (32-bit)
Scientific notation
4.70442 × 10⁵
As a duration
470,442 s = 5 days, 10 hours, 40 minutes, 42 seconds
In other bases
ternary (3) 212220022210
quaternary (4) 1302312222
quinary (5) 110023232
senary (6) 14025550
septenary (7) 3666360
nonary (9) 786283
undecimal (11) 2a14a5
duodecimal (12) 1a82b6
tridecimal (13) 13618b
tetradecimal (14) c3630
pentadecimal (15) 945cc

As an angle

470,442° = 1,306 × 360° + 282°
282° ≈ 4.922 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υουμβʹ
Chinese
四十七萬零四百四十二
Chinese (financial)
肆拾柒萬零肆佰肆拾貳
In other modern scripts
Eastern Arabic ٤٧٠٤٤٢ Devanagari ४७०४४२ Bengali ৪৭০৪৪২ Tamil ௪௭௦௪௪௨ Thai ๔๗๐๔๔๒ Tibetan ༤༧༠༤༤༢ Khmer ៤៧០៤៤២ Lao ໔໗໐໔໔໒ Burmese ၄၇၀၄၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470442, here are decompositions:

  • 13 + 470429 = 470442
  • 29 + 470413 = 470442
  • 31 + 470411 = 470442
  • 43 + 470399 = 470442
  • 53 + 470389 = 470442
  • 83 + 470359 = 470442
  • 109 + 470333 = 470442
  • 139 + 470303 = 470442

Showing the first eight; more decompositions exist.

Hex color
#072DAA
RGB(7, 45, 170)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.45.170.

Address
0.7.45.170
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.45.170

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 470,442 and was likely granted around 1891.

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°.