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470,448

470,448 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.).

470,448 (four hundred seventy thousand four hundred forty-eight) is an even 6-digit number. It is a composite number with 90 divisors, and factors as 2⁴ × 3⁵ × 11². Its proper divisors sum to 1,030,324, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72DB0.

Abundant Number Achilles Number Evil Number Gapful Number Harshad / Niven Powerful Number Practical Number Smith 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
844,074
Square (n²)
221,321,320,704
Cube (n³)
104,120,172,682,555,392
Divisor count
90
σ(n) — sum of divisors
1,500,772
φ(n) — Euler's totient
142,560
Sum of prime factors
45

Primality

Prime factorization: 2 4 × 3 5 × 11 2

Nearest primes: 470,447 (−1) · 470,453 (+5)

Divisors & multiples

All divisors (90)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 11 · 12 · 16 · 18 · 22 · 24 · 27 · 33 · 36 · 44 · 48 · 54 · 66 · 72 · 81 · 88 · 99 · 108 · 121 · 132 · 144 · 162 · 176 · 198 · 216 · 242 · 243 · 264 · 297 · 324 · 363 · 396 · 432 · 484 · 486 · 528 · 594 · 648 · 726 · 792 · 891 · 968 · 972 · 1089 · 1188 · 1296 · 1452 · 1584 · 1782 · 1936 · 1944 · 2178 · 2376 · 2673 · 2904 · 3267 · 3564 · 3888 · 4356 · 4752 · 5346 · 5808 · 6534 · 7128 · 8712 · 9801 · 10692 · 13068 · 14256 · 17424 · 19602 · 21384 · 26136 · 29403 · 39204 · 42768 · 52272 · 58806 · 78408 · 117612 · 156816 · 235224 (half) · 470448
Aliquot sum (sum of proper divisors): 1,030,324
Factor pairs (a × b = 470,448)
1 × 470448
2 × 235224
3 × 156816
4 × 117612
6 × 78408
8 × 58806
9 × 52272
11 × 42768
12 × 39204
16 × 29403
18 × 26136
22 × 21384
24 × 19602
27 × 17424
33 × 14256
36 × 13068
44 × 10692
48 × 9801
54 × 8712
66 × 7128
72 × 6534
81 × 5808
88 × 5346
99 × 4752
108 × 4356
121 × 3888
132 × 3564
144 × 3267
162 × 2904
176 × 2673
198 × 2376
216 × 2178
242 × 1944
243 × 1936
264 × 1782
297 × 1584
324 × 1452
363 × 1296
396 × 1188
432 × 1089
484 × 972
486 × 968
528 × 891
594 × 792
648 × 726
First multiples
470,448 · 940,896 (double) · 1,411,344 · 1,881,792 · 2,352,240 · 2,822,688 · 3,293,136 · 3,763,584 · 4,234,032 · 4,704,480

Sums & aliquot sequence

As consecutive integers: 156,815 + 156,816 + 156,817 52,268 + 52,269 + … + 52,276 42,763 + 42,764 + … + 42,773 17,411 + 17,412 + … + 17,437
Aliquot sequence: 470,448 1,030,324 784,076 596,044 447,040 723,392 739,648 1,081,024 1,519,936 1,991,360 3,568,192 3,584,448 8,461,248 14,167,104 29,529,024 60,984,384 108,338,112 — unresolved within range

Continued fraction of √n

√470,448 = [685; (1, 8, 3, 1, 2, 2, 4, 2, 1, 16, 4, 13, 1, 8, 1, 1, 2, 10, 1, 16, 42, 1, 4, 4, …)]

Representations

In words
four hundred seventy thousand four hundred forty-eight
Ordinal
470448th
Binary
1110010110110110000
Octal
1626660
Hexadecimal
0x72DB0
Base64
By2w
One's complement
4,294,496,847 (32-bit)
Scientific notation
4.70448 × 10⁵
As a duration
470,448 s = 5 days, 10 hours, 40 minutes, 48 seconds
In other bases
ternary (3) 212220100000
quaternary (4) 1302312300
quinary (5) 110023243
senary (6) 14030000
septenary (7) 3666366
nonary (9) 786300
undecimal (11) 2a1500
duodecimal (12) 1a8300
tridecimal (13) 136194
tetradecimal (14) c3636
pentadecimal (15) 945d3

As an angle

470,448° = 1,306 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υουμηʹ
Chinese
四十七萬零四百四十八
Chinese (financial)
肆拾柒萬零肆佰肆拾捌
In other modern scripts
Eastern Arabic ٤٧٠٤٤٨ Devanagari ४७०४४८ Bengali ৪৭০৪৪৮ Tamil ௪௭௦௪௪௮ Thai ๔๗๐๔๔๘ Tibetan ༤༧༠༤༤༨ Khmer ៤៧០៤៤៨ Lao ໔໗໐໔໔໘ Burmese ၄၇၀၄၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470448, here are decompositions:

  • 5 + 470443 = 470448
  • 19 + 470429 = 470448
  • 31 + 470417 = 470448
  • 37 + 470411 = 470448
  • 59 + 470389 = 470448
  • 89 + 470359 = 470448
  • 101 + 470347 = 470448
  • 131 + 470317 = 470448

Showing the first eight; more decompositions exist.

Hex color
#072DB0
RGB(7, 45, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.45.176.

Address
0.7.45.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.45.176

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 470,448 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°.