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490,032

490,032 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.).

490,032 (four hundred ninety thousand thirty-two) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 41 × 83. Its proper divisors sum to 931,752, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77A30.

Abundant Number Evil Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
230,094
Square (n²)
240,131,361,024
Cube (n³)
117,672,051,105,312,768
Divisor count
60
σ(n) — sum of divisors
1,421,784
φ(n) — Euler's totient
157,440
Sum of prime factors
138

Primality

Prime factorization: 2 4 × 3 2 × 41 × 83

Nearest primes: 490,031 (−1) · 490,033 (+1)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 36 · 41 · 48 · 72 · 82 · 83 · 123 · 144 · 164 · 166 · 246 · 249 · 328 · 332 · 369 · 492 · 498 · 656 · 664 · 738 · 747 · 984 · 996 · 1328 · 1476 · 1494 · 1968 · 1992 · 2952 · 2988 · 3403 · 3984 · 5904 · 5976 · 6806 · 10209 · 11952 · 13612 · 20418 · 27224 · 30627 · 40836 · 54448 · 61254 · 81672 · 122508 · 163344 · 245016 (half) · 490032
Aliquot sum (sum of proper divisors): 931,752
Factor pairs (a × b = 490,032)
1 × 490032
2 × 245016
3 × 163344
4 × 122508
6 × 81672
8 × 61254
9 × 54448
12 × 40836
16 × 30627
18 × 27224
24 × 20418
36 × 13612
41 × 11952
48 × 10209
72 × 6806
82 × 5976
83 × 5904
123 × 3984
144 × 3403
164 × 2988
166 × 2952
246 × 1992
249 × 1968
328 × 1494
332 × 1476
369 × 1328
492 × 996
498 × 984
656 × 747
664 × 738
First multiples
490,032 · 980,064 (double) · 1,470,096 · 1,960,128 · 2,450,160 · 2,940,192 · 3,430,224 · 3,920,256 · 4,410,288 · 4,900,320

Sums & aliquot sequence

As consecutive integers: 163,343 + 163,344 + 163,345 54,444 + 54,445 + … + 54,452 15,298 + 15,299 + … + 15,329 11,932 + 11,933 + … + 11,972
Aliquot sequence: 490,032 931,752 1,591,938 1,918,062 2,563,506 3,602,862 4,203,378 4,946,490 9,155,286 13,515,258 13,554,438 13,729,002 17,651,670 24,712,410 34,597,446 41,335,194 46,198,374 — unresolved within range

Continued fraction of √n

√490,032 = [700; (43, 1, 3, 87, 3, 1, 43, 1400)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety thousand thirty-two
Ordinal
490032nd
Binary
1110111101000110000
Octal
1675060
Hexadecimal
0x77A30
Base64
B3ow
One's complement
4,294,477,263 (32-bit)
Scientific notation
4.90032 × 10⁵
As a duration
490,032 s = 5 days, 16 hours, 7 minutes, 12 seconds
In other bases
ternary (3) 220220012100
quaternary (4) 1313220300
quinary (5) 111140112
senary (6) 14300400
septenary (7) 4110444
nonary (9) 826170
undecimal (11) 305194
duodecimal (12) 1b7700
tridecimal (13) 14207a
tetradecimal (14) ca824
pentadecimal (15) 9a2dc

As an angle

490,032° = 1,361 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υϟλβʹ
Chinese
四十九萬零三十二
Chinese (financial)
肆拾玖萬零參拾貳
In other modern scripts
Eastern Arabic ٤٩٠٠٣٢ Devanagari ४९००३२ Bengali ৪৯০০৩২ Tamil ௪௯௦௦௩௨ Thai ๔๙๐๐๓๒ Tibetan ༤༩༠༠༣༢ Khmer ៤៩០០៣២ Lao ໔໙໐໐໓໒ Burmese ၄၉၀၀၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 490032, here are decompositions:

  • 13 + 490019 = 490032
  • 29 + 490003 = 490032
  • 31 + 490001 = 490032
  • 43 + 489989 = 490032
  • 71 + 489961 = 490032
  • 73 + 489959 = 490032
  • 89 + 489943 = 490032
  • 131 + 489901 = 490032

Showing the first eight; more decompositions exist.

Hex color
#077A30
RGB(7, 122, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.122.48.

Address
0.7.122.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.122.48

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 490,032 and was likely granted around 1892.

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

Position in π

The digit sequence 490032 first appears in π at position 160,542 of the decimal expansion (the 160,542ordinal-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°.