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477,264

477,264 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.).

477,264 (four hundred seventy-seven thousand two hundred sixty-four) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 61 × 163. Its proper divisors sum to 783,568, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74850.

Abundant Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
9,408
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
462,774
Square (n²)
227,780,925,696
Cube (n³)
108,711,635,721,375,744
Divisor count
40
σ(n) — sum of divisors
1,260,832
φ(n) — Euler's totient
155,520
Sum of prime factors
235

Primality

Prime factorization: 2 4 × 3 × 61 × 163

Nearest primes: 477,259 (−5) · 477,277 (+13)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 61 · 122 · 163 · 183 · 244 · 326 · 366 · 488 · 489 · 652 · 732 · 976 · 978 · 1304 · 1464 · 1956 · 2608 · 2928 · 3912 · 7824 · 9943 · 19886 · 29829 · 39772 · 59658 · 79544 · 119316 · 159088 · 238632 (half) · 477264
Aliquot sum (sum of proper divisors): 783,568
Factor pairs (a × b = 477,264)
1 × 477264
2 × 238632
3 × 159088
4 × 119316
6 × 79544
8 × 59658
12 × 39772
16 × 29829
24 × 19886
48 × 9943
61 × 7824
122 × 3912
163 × 2928
183 × 2608
244 × 1956
326 × 1464
366 × 1304
488 × 978
489 × 976
652 × 732
First multiples
477,264 · 954,528 (double) · 1,431,792 · 1,909,056 · 2,386,320 · 2,863,584 · 3,340,848 · 3,818,112 · 4,295,376 · 4,772,640

Sums & aliquot sequence

As consecutive integers: 159,087 + 159,088 + 159,089 14,899 + 14,900 + … + 14,930 7,794 + 7,795 + … + 7,854 4,924 + 4,925 + … + 5,019
Aliquot sequence: 477,264 783,568 734,626 367,316 279,904 271,220 309,388 232,048 217,576 190,394 107,686 60,938 30,472 31,268 23,458 12,794 6,400 — unresolved within range

Continued fraction of √n

√477,264 = [690; (1, 5, 2, 1, 2, 1, 1, 5, 5, 1, 1, 1, 1, 20, 1, 54, 3, 5, 3, 54, 1, 20, 1, 1, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-seven thousand two hundred sixty-four
Ordinal
477264th
Binary
1110100100001010000
Octal
1644120
Hexadecimal
0x74850
Base64
B0hQ
One's complement
4,294,490,031 (32-bit)
Scientific notation
4.77264 × 10⁵
As a duration
477,264 s = 5 days, 12 hours, 34 minutes, 24 seconds
In other bases
ternary (3) 220020200110
quaternary (4) 1310201100
quinary (5) 110233024
senary (6) 14121320
septenary (7) 4025304
nonary (9) 806613
undecimal (11) 2a6637
duodecimal (12) 1b0240
tridecimal (13) 139308
tetradecimal (14) c5d04
pentadecimal (15) 96629

As an angle

477,264° = 1,325 × 360° + 264°
264° ≈ 4.608 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοζσξδʹ
Chinese
四十七萬七千二百六十四
Chinese (financial)
肆拾柒萬柒仟貳佰陸拾肆
In other modern scripts
Eastern Arabic ٤٧٧٢٦٤ Devanagari ४७७२६४ Bengali ৪৭৭২৬৪ Tamil ௪௭௭௨௬௪ Thai ๔๗๗๒๖๔ Tibetan ༤༧༧༢༦༤ Khmer ៤៧៧២៦៤ Lao ໔໗໗໒໖໔ Burmese ၄၇၇၂၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 477264, here are decompositions:

  • 5 + 477259 = 477264
  • 43 + 477221 = 477264
  • 101 + 477163 = 477264
  • 173 + 477091 = 477264
  • 191 + 477073 = 477264
  • 233 + 477031 = 477264
  • 251 + 477013 = 477264
  • 283 + 476981 = 477264

Showing the first eight; more decompositions exist.

Hex color
#074850
RGB(7, 72, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.72.80.

Address
0.7.72.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.72.80

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 477,264 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°.