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528,080

528,080 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.).

528,080 (five hundred twenty-eight thousand eighty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 5 × 7 × 23 × 41. Its proper divisors sum to 971,824, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x80ED0.

Abundant Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
80,825
Square (n²)
278,868,486,400
Cube (n³)
147,264,870,298,112,000
Divisor count
80
σ(n) — sum of divisors
1,499,904
φ(n) — Euler's totient
168,960
Sum of prime factors
84

Primality

Prime factorization: 2 4 × 5 × 7 × 23 × 41

Nearest primes: 528,053 (−27) · 528,091 (+11)

Divisors & multiples

All divisors (80)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 23 · 28 · 35 · 40 · 41 · 46 · 56 · 70 · 80 · 82 · 92 · 112 · 115 · 140 · 161 · 164 · 184 · 205 · 230 · 280 · 287 · 322 · 328 · 368 · 410 · 460 · 560 · 574 · 644 · 656 · 805 · 820 · 920 · 943 · 1148 · 1288 · 1435 · 1610 · 1640 · 1840 · 1886 · 2296 · 2576 · 2870 · 3220 · 3280 · 3772 · 4592 · 4715 · 5740 · 6440 · 6601 · 7544 · 9430 · 11480 · 12880 · 13202 · 15088 · 18860 · 22960 · 26404 · 33005 · 37720 · 52808 · 66010 · 75440 · 105616 · 132020 · 264040 (half) · 528080
Aliquot sum (sum of proper divisors): 971,824
Factor pairs (a × b = 528,080)
1 × 528080
2 × 264040
4 × 132020
5 × 105616
7 × 75440
8 × 66010
10 × 52808
14 × 37720
16 × 33005
20 × 26404
23 × 22960
28 × 18860
35 × 15088
40 × 13202
41 × 12880
46 × 11480
56 × 9430
70 × 7544
80 × 6601
82 × 6440
92 × 5740
112 × 4715
115 × 4592
140 × 3772
161 × 3280
164 × 3220
184 × 2870
205 × 2576
230 × 2296
280 × 1886
287 × 1840
322 × 1640
328 × 1610
368 × 1435
410 × 1288
460 × 1148
560 × 943
574 × 920
644 × 820
656 × 805
First multiples
528,080 · 1,056,160 (double) · 1,584,240 · 2,112,320 · 2,640,400 · 3,168,480 · 3,696,560 · 4,224,640 · 4,752,720 · 5,280,800

Sums & aliquot sequence

As consecutive integers: 105,614 + 105,615 + 105,616 + 105,617 + 105,618 75,437 + 75,438 + … + 75,443 22,949 + 22,950 + … + 22,971 16,487 + 16,488 + … + 16,518
Aliquot sequence: 528,080 971,824 1,180,320 2,539,200 6,169,444 4,627,090 4,342,598 2,672,410 2,608,502 1,709,770 1,451,678 805,618 523,052 413,884 310,420 451,628 373,252 — unresolved within range

Continued fraction of √n

√528,080 = [726; (1, 2, 4, 4, 1, 3, 1, 21, 1, 11, 18, 11, 1, 21, 1, 3, 1, 4, 4, 2, 1, 1452)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
five hundred twenty-eight thousand eighty
Ordinal
528080th
Binary
10000000111011010000
Octal
2007320
Hexadecimal
0x80ED0
Base64
CA7Q
One's complement
4,294,439,215 (32-bit)
Scientific notation
5.2808 × 10⁵
As a duration
528,080 s = 6 days, 2 hours, 41 minutes, 20 seconds
In other bases
ternary (3) 222211101112
quaternary (4) 2000323100
quinary (5) 113344310
senary (6) 15152452
septenary (7) 4326410
nonary (9) 884345
undecimal (11) 330833
duodecimal (12) 215728
tridecimal (13) 156497
tetradecimal (14) da640
pentadecimal (15) a6705

As an angle

528,080° = 1,466 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵φκηπʹ
Chinese
五十二萬八千零八十
Chinese (financial)
伍拾貳萬捌仟零捌拾
In other modern scripts
Eastern Arabic ٥٢٨٠٨٠ Devanagari ५२८०८० Bengali ৫২৮০৮০ Tamil ௫௨௮௦௮௦ Thai ๕๒๘๐๘๐ Tibetan ༥༢༨༠༨༠ Khmer ៥២៨០៨០ Lao ໕໒໘໐໘໐ Burmese ၅၂၈၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 528080, here are decompositions:

  • 37 + 528043 = 528080
  • 67 + 528013 = 528080
  • 79 + 528001 = 528080
  • 97 + 527983 = 528080
  • 139 + 527941 = 528080
  • 151 + 527929 = 528080
  • 199 + 527881 = 528080
  • 211 + 527869 = 528080

Showing the first eight; more decompositions exist.

Hex color
#080ED0
RGB(8, 14, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.14.208.

Address
0.8.14.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.14.208

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 528,080 and was likely granted around 1894.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 528080 first appears in π at position 534,415 of the decimal expansion (the 534,415ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.