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490,144

490,144 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.).

490,144 (four hundred ninety thousand one hundred forty-four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁵ × 17² × 53. Its proper divisors sum to 554,270, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77AA0.

Abundant Number Evil Number Happy Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
19 bits
Reversed
441,094
Square (n²)
240,241,140,736
Cube (n³)
117,752,753,684,905,984
Divisor count
36
σ(n) — sum of divisors
1,044,414
φ(n) — Euler's totient
226,304
Sum of prime factors
97

Primality

Prime factorization: 2 5 × 17 2 × 53

Nearest primes: 490,121 (−23) · 490,151 (+7)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 8 · 16 · 17 · 32 · 34 · 53 · 68 · 106 · 136 · 212 · 272 · 289 · 424 · 544 · 578 · 848 · 901 · 1156 · 1696 · 1802 · 2312 · 3604 · 4624 · 7208 · 9248 · 14416 · 15317 · 28832 · 30634 · 61268 · 122536 · 245072 (half) · 490144
Aliquot sum (sum of proper divisors): 554,270
Factor pairs (a × b = 490,144)
1 × 490144
2 × 245072
4 × 122536
8 × 61268
16 × 30634
17 × 28832
32 × 15317
34 × 14416
53 × 9248
68 × 7208
106 × 4624
136 × 3604
212 × 2312
272 × 1802
289 × 1696
424 × 1156
544 × 901
578 × 848
First multiples
490,144 · 980,288 (double) · 1,470,432 · 1,960,576 · 2,450,720 · 2,940,864 · 3,431,008 · 3,921,152 · 4,411,296 · 4,901,440

Sums & aliquot sequence

As a sum of two squares: 12² + 700² = 340² + 612² = 380² + 588²
As consecutive integers: 28,824 + 28,825 + … + 28,840 9,222 + 9,223 + … + 9,274 7,627 + 7,628 + … + 7,690 1,552 + 1,553 + … + 1,840
Aliquot sequence: 490,144 554,270 467,410 394,286 201,874 100,940 148,036 166,460 256,900 381,948 636,804 1,339,443 1,054,157 91,603 1,997 1 0 — terminates at zero

Continued fraction of √n

√490,144 = [700; (9, 1, 2, 1, 1, 1, 1, 3, 1, 2, 2, 4, 1, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 5, …)]

Representations

In words
four hundred ninety thousand one hundred forty-four
Ordinal
490144th
Binary
1110111101010100000
Octal
1675240
Hexadecimal
0x77AA0
Base64
B3qg
One's complement
4,294,477,151 (32-bit)
Scientific notation
4.90144 × 10⁵
As a duration
490,144 s = 5 days, 16 hours, 9 minutes, 4 seconds
In other bases
ternary (3) 220220100111
quaternary (4) 1313222200
quinary (5) 111141034
senary (6) 14301104
septenary (7) 4110664
nonary (9) 826314
undecimal (11) 305286
duodecimal (12) 1b7794
tridecimal (13) 142135
tetradecimal (14) ca8a4
pentadecimal (15) 9a364

As an angle

490,144° = 1,361 × 360° + 184°
184° ≈ 3.211 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υϟρμδʹ
Chinese
四十九萬零一百四十四
Chinese (financial)
肆拾玖萬零壹佰肆拾肆
In other modern scripts
Eastern Arabic ٤٩٠١٤٤ Devanagari ४९०१४४ Bengali ৪৯০১৪৪ Tamil ௪௯௦௧௪௪ Thai ๔๙๐๑๔๔ Tibetan ༤༩༠༡༤༤ Khmer ៤៩០១៤៤ Lao ໔໙໐໑໔໔ Burmese ၄၉၀၁၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 490144, here are decompositions:

  • 23 + 490121 = 490144
  • 41 + 490103 = 490144
  • 47 + 490097 = 490144
  • 113 + 490031 = 490144
  • 167 + 489977 = 490144
  • 233 + 489911 = 490144
  • 257 + 489887 = 490144
  • 293 + 489851 = 490144

Showing the first eight; more decompositions exist.

Hex color
#077AA0
RGB(7, 122, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.122.160.

Address
0.7.122.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.122.160

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 490,144 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 490144 first appears in π at position 784,035 of the decimal expansion (the 784,035ordinal-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°.