number.wiki
Live analysis

490,040

490,040 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.).

490,040 (four hundred ninety thousand forty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 12,251. Its proper divisors sum to 612,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77A38.

Abundant Number Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
40,094
Square (n²)
240,139,201,600
Cube (n³)
117,677,814,352,064,000
Divisor count
16
σ(n) — sum of divisors
1,102,680
φ(n) — Euler's totient
196,000
Sum of prime factors
12,262

Primality

Prime factorization: 2 3 × 5 × 12251

Nearest primes: 490,033 (−7) · 490,057 (+17)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 12251 · 24502 · 49004 · 61255 · 98008 · 122510 · 245020 (half) · 490040
Aliquot sum (sum of proper divisors): 612,640
Factor pairs (a × b = 490,040)
1 × 490040
2 × 245020
4 × 122510
5 × 98008
8 × 61255
10 × 49004
20 × 24502
40 × 12251
First multiples
490,040 · 980,080 (double) · 1,470,120 · 1,960,160 · 2,450,200 · 2,940,240 · 3,430,280 · 3,920,320 · 4,410,360 · 4,900,400

Sums & aliquot sequence

As consecutive integers: 98,006 + 98,007 + 98,008 + 98,009 + 98,010 30,620 + 30,621 + … + 30,635 6,086 + 6,087 + … + 6,165
Aliquot sequence: 490,040 612,640 1,044,512 1,306,144 1,870,190 1,977,202 1,163,114 581,560 985,160 1,434,040 1,792,640 2,494,420 2,743,904 2,943,736 2,603,504 2,812,816 2,972,528 — unresolved within range

Continued fraction of √n

√490,040 = [700; (35, 1400)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety thousand forty
Ordinal
490040th
Binary
1110111101000111000
Octal
1675070
Hexadecimal
0x77A38
Base64
B3o4
One's complement
4,294,477,255 (32-bit)
Scientific notation
4.9004 × 10⁵
As a duration
490,040 s = 5 days, 16 hours, 7 minutes, 20 seconds
In other bases
ternary (3) 220220012122
quaternary (4) 1313220320
quinary (5) 111140130
senary (6) 14300412
septenary (7) 4110455
nonary (9) 826178
undecimal (11) 3051a1
duodecimal (12) 1b7708
tridecimal (13) 142085
tetradecimal (14) ca82c
pentadecimal (15) 9a2e5

As an angle

490,040° = 1,361 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υϟμʹ
Chinese
四十九萬零四十
Chinese (financial)
肆拾玖萬零肆拾
In other modern scripts
Eastern Arabic ٤٩٠٠٤٠ Devanagari ४९००४० Bengali ৪৯০০৪০ Tamil ௪௯௦௦௪௦ Thai ๔๙๐๐๔๐ Tibetan ༤༩༠༠༤༠ Khmer ៤៩០០៤០ Lao ໔໙໐໐໔໐ Burmese ၄၉၀၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 490040, here are decompositions:

  • 7 + 490033 = 490040
  • 37 + 490003 = 490040
  • 79 + 489961 = 490040
  • 97 + 489943 = 490040
  • 127 + 489913 = 490040
  • 139 + 489901 = 490040
  • 193 + 489847 = 490040
  • 223 + 489817 = 490040

Showing the first eight; more decompositions exist.

Hex color
#077A38
RGB(7, 122, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.122.56.

Address
0.7.122.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.122.56

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 490,040 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°.