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492,320

492,320 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.).

492,320 (four hundred ninety-two thousand three hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5 × 17 × 181. Its proper divisors sum to 746,008, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x78320.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
23,294
Square (n²)
242,378,982,400
Cube (n³)
119,328,020,615,168,000
Divisor count
48
σ(n) — sum of divisors
1,238,328
φ(n) — Euler's totient
184,320
Sum of prime factors
213

Primality

Prime factorization: 2 5 × 5 × 17 × 181

Nearest primes: 492,319 (−1) · 492,377 (+57)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 17 · 20 · 32 · 34 · 40 · 68 · 80 · 85 · 136 · 160 · 170 · 181 · 272 · 340 · 362 · 544 · 680 · 724 · 905 · 1360 · 1448 · 1810 · 2720 · 2896 · 3077 · 3620 · 5792 · 6154 · 7240 · 12308 · 14480 · 15385 · 24616 · 28960 · 30770 · 49232 · 61540 · 98464 · 123080 · 246160 (half) · 492320
Aliquot sum (sum of proper divisors): 746,008
Factor pairs (a × b = 492,320)
1 × 492320
2 × 246160
4 × 123080
5 × 98464
8 × 61540
10 × 49232
16 × 30770
17 × 28960
20 × 24616
32 × 15385
34 × 14480
40 × 12308
68 × 7240
80 × 6154
85 × 5792
136 × 3620
160 × 3077
170 × 2896
181 × 2720
272 × 1810
340 × 1448
362 × 1360
544 × 905
680 × 724
First multiples
492,320 · 984,640 (double) · 1,476,960 · 1,969,280 · 2,461,600 · 2,953,920 · 3,446,240 · 3,938,560 · 4,430,880 · 4,923,200

Sums & aliquot sequence

As a sum of two squares: 116² + 692² = 188² + 676² = 428² + 556² = 484² + 508²
As consecutive integers: 98,462 + 98,463 + 98,464 + 98,465 + 98,466 28,952 + 28,953 + … + 28,968 7,661 + 7,662 + … + 7,724 5,750 + 5,751 + … + 5,834
Aliquot sequence: 492,320 746,008 652,772 489,586 257,018 128,512 129,284 96,970 77,594 49,414 27,194 13,600 21,554 13,306 6,656 7,666 3,836 — unresolved within range

Continued fraction of √n

√492,320 = [701; (1, 1, 1, 9, 87, 1, 1, 1, 1, 10, 1, 349, 1, 10, 1, 1, 1, 1, 87, 9, 1, 1, 1, 1402)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety-two thousand three hundred twenty
Ordinal
492320th
Binary
1111000001100100000
Octal
1701440
Hexadecimal
0x78320
Base64
B4Mg
One's complement
4,294,474,975 (32-bit)
Scientific notation
4.9232 × 10⁵
As a duration
492,320 s = 5 days, 16 hours, 45 minutes, 20 seconds
In other bases
ternary (3) 221000100002
quaternary (4) 1320030200
quinary (5) 111223240
senary (6) 14315132
septenary (7) 4120223
nonary (9) 830302
undecimal (11) 306984
duodecimal (12) 1b8aa8
tridecimal (13) 14311a
tetradecimal (14) cb5ba
pentadecimal (15) 9ad15

As an angle

492,320° = 1,367 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵υϟβτκʹ
Chinese
四十九萬二千三百二十
Chinese (financial)
肆拾玖萬貳仟參佰貳拾
In other modern scripts
Eastern Arabic ٤٩٢٣٢٠ Devanagari ४९२३२० Bengali ৪৯২৩২০ Tamil ௪௯௨௩௨௦ Thai ๔๙๒๓๒๐ Tibetan ༤༩༢༣༢༠ Khmer ៤៩២៣២០ Lao ໔໙໒໓໒໐ Burmese ၄၉၂၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 492320, here are decompositions:

  • 67 + 492253 = 492320
  • 307 + 492013 = 492320
  • 313 + 492007 = 492320
  • 337 + 491983 = 492320
  • 397 + 491923 = 492320
  • 421 + 491899 = 492320
  • 463 + 491857 = 492320
  • 487 + 491833 = 492320

Showing the first eight; more decompositions exist.

Hex color
#078320
RGB(7, 131, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.131.32.

Address
0.7.131.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.131.32

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 492,320 and was likely granted around 1893.

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

Position in π

The digit sequence 492320 first appears in π at position 447,732 of the decimal expansion (the 447,732ordinal-suffix:nd 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°.