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490,920

490,920 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.).

490,920 (four hundred ninety thousand nine hundred twenty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 4,091. Its proper divisors sum to 982,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77DA8.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
29,094
Square (n²)
241,002,446,400
Cube (n³)
118,312,920,986,688,000
Divisor count
32
σ(n) — sum of divisors
1,473,120
φ(n) — Euler's totient
130,880
Sum of prime factors
4,105

Primality

Prime factorization: 2 3 × 3 × 5 × 4091

Nearest primes: 490,913 (−7) · 490,921 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · 4091 · 8182 · 12273 · 16364 · 20455 · 24546 · 32728 · 40910 · 49092 · 61365 · 81820 · 98184 · 122730 · 163640 · 245460 (half) · 490920
Aliquot sum (sum of proper divisors): 982,200
Factor pairs (a × b = 490,920)
1 × 490920
2 × 245460
3 × 163640
4 × 122730
5 × 98184
6 × 81820
8 × 61365
10 × 49092
12 × 40910
15 × 32728
20 × 24546
24 × 20455
30 × 16364
40 × 12273
60 × 8182
120 × 4091
First multiples
490,920 · 981,840 (double) · 1,472,760 · 1,963,680 · 2,454,600 · 2,945,520 · 3,436,440 · 3,927,360 · 4,418,280 · 4,909,200

Sums & aliquot sequence

As consecutive integers: 163,639 + 163,640 + 163,641 98,182 + 98,183 + 98,184 + 98,185 + 98,186 32,721 + 32,722 + … + 32,735 30,675 + 30,676 + … + 30,690
Aliquot sequence: 490,920 982,200 2,064,480 5,773,728 9,527,712 15,908,160 35,517,696 60,141,504 105,913,536 199,166,880 496,691,808 863,817,888 1,451,961,312 2,378,640,288 4,010,509,248 6,865,730,112 11,786,201,088 — keeps growing

Continued fraction of √n

√490,920 = [700; (1, 1, 1, 10, 1, 1, 1, 2, 1, 3, 2, 1, 57, 1, 2, 3, 1, 2, 1, 1, 1, 10, 1, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety thousand nine hundred twenty
Ordinal
490920th
Binary
1110111110110101000
Octal
1676650
Hexadecimal
0x77DA8
Base64
B32o
One's complement
4,294,476,375 (32-bit)
Scientific notation
4.9092 × 10⁵
As a duration
490,920 s = 5 days, 16 hours, 22 minutes
In other bases
ternary (3) 220221102020
quaternary (4) 1313312220
quinary (5) 111202140
senary (6) 14304440
septenary (7) 4113153
nonary (9) 827366
undecimal (11) 305921
duodecimal (12) 1b8120
tridecimal (13) 1425b1
tetradecimal (14) cac9a
pentadecimal (15) 9a6d0

As an angle

490,920° = 1,363 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵υϟϡκʹ
Chinese
四十九萬零九百二十
Chinese (financial)
肆拾玖萬零玖佰貳拾
In other modern scripts
Eastern Arabic ٤٩٠٩٢٠ Devanagari ४९०९२० Bengali ৪৯০৯২০ Tamil ௪௯௦௯௨௦ Thai ๔๙๐๙๒๐ Tibetan ༤༩༠༩༢༠ Khmer ៤៩០៩២០ Lao ໔໙໐໙໒໐ Burmese ၄၉၀၉၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 490920, here are decompositions:

  • 7 + 490913 = 490920
  • 29 + 490891 = 490920
  • 43 + 490877 = 490920
  • 61 + 490859 = 490920
  • 71 + 490849 = 490920
  • 83 + 490837 = 490920
  • 137 + 490783 = 490920
  • 149 + 490771 = 490920

Showing the first eight; more decompositions exist.

Hex color
#077DA8
RGB(7, 125, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.125.168.

Address
0.7.125.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.125.168

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 490,920 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 490920 first appears in π at position 274,059 of the decimal expansion (the 274,059ordinal-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°.