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490,116

490,116 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.).

490,116 (four hundred ninety thousand one hundred sixteen) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 11 × 47 × 79. Its proper divisors sum to 800,124, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77A84.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
611,094
Square (n²)
240,213,693,456
Cube (n³)
117,732,574,581,880,896
Divisor count
48
σ(n) — sum of divisors
1,290,240
φ(n) — Euler's totient
143,520
Sum of prime factors
144

Primality

Prime factorization: 2 2 × 3 × 11 × 47 × 79

Nearest primes: 490,111 (−5) · 490,117 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 11 · 12 · 22 · 33 · 44 · 47 · 66 · 79 · 94 · 132 · 141 · 158 · 188 · 237 · 282 · 316 · 474 · 517 · 564 · 869 · 948 · 1034 · 1551 · 1738 · 2068 · 2607 · 3102 · 3476 · 3713 · 5214 · 6204 · 7426 · 10428 · 11139 · 14852 · 22278 · 40843 · 44556 · 81686 · 122529 · 163372 · 245058 (half) · 490116
Aliquot sum (sum of proper divisors): 800,124
Factor pairs (a × b = 490,116)
1 × 490116
2 × 245058
3 × 163372
4 × 122529
6 × 81686
11 × 44556
12 × 40843
22 × 22278
33 × 14852
44 × 11139
47 × 10428
66 × 7426
79 × 6204
94 × 5214
132 × 3713
141 × 3476
158 × 3102
188 × 2607
237 × 2068
282 × 1738
316 × 1551
474 × 1034
517 × 948
564 × 869
First multiples
490,116 · 980,232 (double) · 1,470,348 · 1,960,464 · 2,450,580 · 2,940,696 · 3,430,812 · 3,920,928 · 4,411,044 · 4,901,160

Sums & aliquot sequence

As consecutive integers: 163,371 + 163,372 + 163,373 61,261 + 61,262 + … + 61,268 44,551 + 44,552 + … + 44,561 20,410 + 20,411 + … + 20,433
Aliquot sequence: 490,116 800,124 1,307,268 1,997,306 998,656 1,061,696 1,091,716 859,772 644,836 514,392 771,648 1,270,512 2,613,168 5,243,472 10,565,412 19,239,132 31,870,500 — unresolved within range

Continued fraction of √n

√490,116 = [700; (12, 14, 2, 1, 5, 2, 39, 1, 1, 5, 35, 1, 2, 1, 1, 2, 1, 21, 6, 2, 1, 7, 4, 2, …)]

Representations

In words
four hundred ninety thousand one hundred sixteen
Ordinal
490116th
Binary
1110111101010000100
Octal
1675204
Hexadecimal
0x77A84
Base64
B3qE
One's complement
4,294,477,179 (32-bit)
Scientific notation
4.90116 × 10⁵
As a duration
490,116 s = 5 days, 16 hours, 8 minutes, 36 seconds
In other bases
ternary (3) 220220022110
quaternary (4) 1313222010
quinary (5) 111140431
senary (6) 14301020
septenary (7) 4110624
nonary (9) 826273
undecimal (11) 305260
duodecimal (12) 1b7770
tridecimal (13) 142113
tetradecimal (14) ca884
pentadecimal (15) 9a346

As an angle

490,116° = 1,361 × 360° + 156°
156° ≈ 2.723 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υϟριϛʹ
Chinese
四十九萬零一百一十六
Chinese (financial)
肆拾玖萬零壹佰壹拾陸
In other modern scripts
Eastern Arabic ٤٩٠١١٦ Devanagari ४९०११६ Bengali ৪৯০১১৬ Tamil ௪௯௦௧௧௬ Thai ๔๙๐๑๑๖ Tibetan ༤༩༠༡༡༦ Khmer ៤៩០១១៦ Lao ໔໙໐໑໑໖ Burmese ၄၉၀၁၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 490116, here are decompositions:

  • 5 + 490111 = 490116
  • 13 + 490103 = 490116
  • 19 + 490097 = 490116
  • 59 + 490057 = 490116
  • 83 + 490033 = 490116
  • 97 + 490019 = 490116
  • 113 + 490003 = 490116
  • 127 + 489989 = 490116

Showing the first eight; more decompositions exist.

Hex color
#077A84
RGB(7, 122, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.122.132.

Address
0.7.122.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.122.132

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 490,116 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 490116 first appears in π at position 663,688 of the decimal expansion (the 663,688ordinal-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°.