number.wiki
Live analysis

490,002

490,002 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.).

490,002 (four hundred ninety thousand two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 81,667. Its proper divisors sum to 490,014, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77A12.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
200,094
Square (n²)
240,101,960,004
Cube (n³)
117,650,440,605,880,008
Divisor count
8
σ(n) — sum of divisors
980,016
φ(n) — Euler's totient
163,332
Sum of prime factors
81,672

Primality

Prime factorization: 2 × 3 × 81667

Nearest primes: 490,001 (−1) · 490,003 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 81667 · 163334 · 245001 (half) · 490002
Aliquot sum (sum of proper divisors): 490,014
Factor pairs (a × b = 490,002)
1 × 490002
2 × 245001
3 × 163334
6 × 81667
First multiples
490,002 · 980,004 (double) · 1,470,006 · 1,960,008 · 2,450,010 · 2,940,012 · 3,430,014 · 3,920,016 · 4,410,018 · 4,900,020

Sums & aliquot sequence

As consecutive integers: 163,333 + 163,334 + 163,335 122,499 + 122,500 + 122,501 + 122,502 40,828 + 40,829 + … + 40,839
Aliquot sequence: 490,002 490,014 723,666 773,934 995,154 1,028,526 1,154,802 1,364,910 1,910,946 1,927,518 2,161,314 2,556,126 2,982,186 3,743,676 5,719,596 7,626,156 10,942,548 — unresolved within range

Continued fraction of √n

√490,002 = [700; (700, 1400)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety thousand two
Ordinal
490002nd
Binary
1110111101000010010
Octal
1675022
Hexadecimal
0x77A12
Base64
B3oS
One's complement
4,294,477,293 (32-bit)
Scientific notation
4.90002 × 10⁵
As a duration
490,002 s = 5 days, 16 hours, 6 minutes, 42 seconds
In other bases
ternary (3) 220220011020
quaternary (4) 1313220102
quinary (5) 111140002
senary (6) 14300310
septenary (7) 4110402
nonary (9) 826136
undecimal (11) 305167
duodecimal (12) 1b7696
tridecimal (13) 142056
tetradecimal (14) ca802
pentadecimal (15) 9a2bc

As an angle

490,002° = 1,361 × 360° + 42°
42° ≈ 0.733 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓏺𓏺
Greek (Milesian)
͵υϟβʹ
Chinese
四十九萬零二
Chinese (financial)
肆拾玖萬零貳
In other modern scripts
Eastern Arabic ٤٩٠٠٠٢ Devanagari ४९०००२ Bengali ৪৯০০০২ Tamil ௪௯௦௦௦௨ Thai ๔๙๐๐๐๒ Tibetan ༤༩༠༠༠༢ Khmer ៤៩០០០២ Lao ໔໙໐໐໐໒ Burmese ၄၉၀၀၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 490002, here are decompositions:

  • 13 + 489989 = 490002
  • 41 + 489961 = 490002
  • 43 + 489959 = 490002
  • 59 + 489943 = 490002
  • 61 + 489941 = 490002
  • 89 + 489913 = 490002
  • 101 + 489901 = 490002
  • 131 + 489871 = 490002

Showing the first eight; more decompositions exist.

Hex color
#077A12
RGB(7, 122, 18)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.122.18.

Address
0.7.122.18
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.122.18

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 490,002 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 490002 first appears in π at position 234,167 of the decimal expansion (the 234,167ordinal-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°.