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479,520

479,520 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.).

479,520 (four hundred seventy-nine thousand five hundred twenty) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2⁵ × 3⁴ × 5 × 37. Its proper divisors sum to 1,258,524, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x75120.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable 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
25,974
Square (n²)
229,939,430,400
Cube (n³)
110,260,555,665,408,000
Divisor count
120
σ(n) — sum of divisors
1,738,044
φ(n) — Euler's totient
124,416
Sum of prime factors
64

Primality

Prime factorization: 2 5 × 3 4 × 5 × 37

Nearest primes: 479,513 (−7) · 479,533 (+13)

Divisors & multiples

All divisors (120)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 27 · 30 · 32 · 36 · 37 · 40 · 45 · 48 · 54 · 60 · 72 · 74 · 80 · 81 · 90 · 96 · 108 · 111 · 120 · 135 · 144 · 148 · 160 · 162 · 180 · 185 · 216 · 222 · 240 · 270 · 288 · 296 · 324 · 333 · 360 · 370 · 405 · 432 · 444 · 480 · 540 · 555 · 592 · 648 · 666 · 720 · 740 · 810 · 864 · 888 · 999 · 1080 · 1110 · 1184 · 1296 · 1332 · 1440 · 1480 · 1620 · 1665 · 1776 · 1998 · 2160 · 2220 · 2592 · 2664 · 2960 · 2997 · 3240 · 3330 · 3552 · 3996 · 4320 · 4440 · 4995 · 5328 · 5920 · 5994 · 6480 · 6660 · 7992 · 8880 · 9990 · 10656 · 11988 · 12960 · 13320 · 14985 · 15984 · 17760 · 19980 · 23976 · 26640 · 29970 · 31968 · 39960 · 47952 · 53280 · 59940 · 79920 · 95904 · 119880 · 159840 · 239760 (half) · 479520
Aliquot sum (sum of proper divisors): 1,258,524
Factor pairs (a × b = 479,520)
1 × 479520
2 × 239760
3 × 159840
4 × 119880
5 × 95904
6 × 79920
8 × 59940
9 × 53280
10 × 47952
12 × 39960
15 × 31968
16 × 29970
18 × 26640
20 × 23976
24 × 19980
27 × 17760
30 × 15984
32 × 14985
36 × 13320
37 × 12960
40 × 11988
45 × 10656
48 × 9990
54 × 8880
60 × 7992
72 × 6660
74 × 6480
80 × 5994
81 × 5920
90 × 5328
96 × 4995
108 × 4440
111 × 4320
120 × 3996
135 × 3552
144 × 3330
148 × 3240
160 × 2997
162 × 2960
180 × 2664
185 × 2592
216 × 2220
222 × 2160
240 × 1998
270 × 1776
288 × 1665
296 × 1620
324 × 1480
333 × 1440
360 × 1332
370 × 1296
405 × 1184
432 × 1110
444 × 1080
480 × 999
540 × 888
555 × 864
592 × 810
648 × 740
666 × 720
First multiples
479,520 · 959,040 (double) · 1,438,560 · 1,918,080 · 2,397,600 · 2,877,120 · 3,356,640 · 3,836,160 · 4,315,680 · 4,795,200

Sums & aliquot sequence

As a sum of two squares: 108² + 684² = 324² + 612²
As consecutive integers: 159,839 + 159,840 + 159,841 95,902 + 95,903 + 95,904 + 95,905 + 95,906 53,276 + 53,277 + … + 53,284 31,961 + 31,962 + … + 31,975
Aliquot sequence: 479,520 1,258,524 2,092,516 1,569,394 784,700 1,298,500 2,062,676 2,584,876 2,584,932 4,308,444 8,862,756 14,771,484 33,171,684 64,784,412 139,393,380 306,666,780 678,915,300 — unresolved within range

Continued fraction of √n

√479,520 = [692; (2, 9, 19, 2, 2, 38, 14, 1, 1, 4, 3, 1, 1, 1, 3, 153, 1, 1, 1, 1, 4, 3, 1, 1, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-nine thousand five hundred twenty
Ordinal
479520th
Binary
1110101000100100000
Octal
1650440
Hexadecimal
0x75120
Base64
B1Eg
One's complement
4,294,487,775 (32-bit)
Scientific notation
4.7952 × 10⁵
As a duration
479,520 s = 5 days, 13 hours, 12 minutes
In other bases
ternary (3) 220100210000
quaternary (4) 1311010200
quinary (5) 110321040
senary (6) 14140000
septenary (7) 4035006
nonary (9) 810700
undecimal (11) 2a82a8
duodecimal (12) 1b1600
tridecimal (13) 13a352
tetradecimal (14) c6a76
pentadecimal (15) 97130

As an angle

479,520° = 1,332 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵υοθφκʹ
Chinese
四十七萬九千五百二十
Chinese (financial)
肆拾柒萬玖仟伍佰貳拾
In other modern scripts
Eastern Arabic ٤٧٩٥٢٠ Devanagari ४७९५२० Bengali ৪৭৯৫২০ Tamil ௪௭௯௫௨௦ Thai ๔๗๙๕๒๐ Tibetan ༤༧༩༥༢༠ Khmer ៤៧៩៥២០ Lao ໔໗໙໕໒໐ Burmese ၄၇၉၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 479520, here are decompositions:

  • 7 + 479513 = 479520
  • 11 + 479509 = 479520
  • 23 + 479497 = 479520
  • 31 + 479489 = 479520
  • 47 + 479473 = 479520
  • 59 + 479461 = 479520
  • 79 + 479441 = 479520
  • 89 + 479431 = 479520

Showing the first eight; more decompositions exist.

Hex color
#075120
RGB(7, 81, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.81.32.

Address
0.7.81.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.81.32

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 479,520 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°.