Live analysis

491,010

491,010 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.).

491,010 (four hundred ninety-one thousand ten) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 13 × 1,259. Its proper divisors sum to 779,070, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77E02.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Semiperfect Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

490,998 490,999 491,000 491,001 491,002 491,003 491,004 491,005 491,006 491,007 491,008 491,009 491,010 491,011 491,012 491,013 491,014 491,015 491,016 491,017 491,018 491,019 491,020 491,021 491,022

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 19 bits
Reversed: 10,194
Square (n²): 241,090,820,100
Cube (n³): 118,378,003,577,301,000
Divisor count: 32
σ(n) — sum of divisors: 1,270,080
φ(n) — Euler's totient: 120,768
Sum of prime factors: 1,282

Primality

Prime factorization: 2 × 3 × 5 × 13 × 1259

Nearest primes: 491,003 (−7) · 491,039 (+29)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 5 · 6 · 10 · 13 · 15 · 26 · 30 · 39 · 65 · 78 · 130 · 195 · 390 · 1259 · 2518 · 3777 · 6295 · 7554 · 12590 · 16367 · 18885 · 32734 · 37770 · 49101 · 81835 · 98202 · 163670 · 245505 (half) · 491010

Aliquot sum (sum of proper divisors): 779,070

Factor pairs (a × b = 491,010)

1 × 491010

2 × 245505

3 × 163670

5 × 98202

6 × 81835

10 × 49101

13 × 37770

15 × 32734

26 × 18885

30 × 16367

39 × 12590

65 × 7554

78 × 6295

130 × 3777

195 × 2518

390 × 1259

First multiples

491,010 · 982,020 (double) · 1,473,030 · 1,964,040 · 2,455,050 · 2,946,060 · 3,437,070 · 3,928,080 · 4,419,090 · 4,910,100

Sums & aliquot sequence

As consecutive integers: 163,669 + 163,670 + 163,671 122,751 + 122,752 + 122,753 + 122,754 98,200 + 98,201 + 98,202 + 98,203 + 98,204 40,912 + 40,913 + … + 40,923

Aliquot sequence: 491,010 → 779,070 → 1,090,770 → 1,559,982 → 1,661,010 → 2,633,070 → 4,417,170 → 6,286,062 → 6,554,130 → 10,606,638 → 14,674,002 → 18,866,670 → 29,724,690 → 44,913,390 → 63,228,306 → 63,533,742 → 63,729,570 — unresolved within range

Continued fraction of √n

√491,010 = [700; (1, 2, 1, 1, 2, 2, 3, 1, 5, 3, 2, 2, 3, 4, 1, 1, 3, 1, 20, 1, 3, 1, 1, 4, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words: four hundred ninety-one thousand ten
Ordinal: 491010th
Binary: 1110111111000000010
Octal: 1677002
Hexadecimal: 0x77E02
Base64: B34C
One's complement: 4,294,476,285 (32-bit)
Scientific notation: 4.9101 × 10⁵
As a duration: 491,010 s = 5 days, 16 hours, 23 minutes, 30 seconds

In other bases

ternary (3) 220221112120

quaternary (4) 1313320002

quinary (5) 111203020

senary (6) 14305110

septenary (7) 4113342

nonary (9) 827476

undecimal (11) 3059a3

duodecimal (12) 1b8196

tridecimal (13) 142650

tetradecimal (14) cad22

pentadecimal (15) 9a740

As an angle

491,010° = 1,363 × 360° + 330°

330° ≈ 5.76 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓎆
Greek (Milesian): ͵υϟαιʹ
Chinese: 四十九萬一千零一十
Chinese (financial): 肆拾玖萬壹仟零壹拾

In other modern scripts

Eastern Arabic ٤٩١٠١٠ Devanagari ४९१०१० Bengali ৪৯১০১০ Tamil ௪௯௧௦௧௦ Thai ๔๙๑๐๑๐ Tibetan ༤༩༡༠༡༠ Khmer ៤៩១០១០ Lao ໔໙໑໐໑໐ Burmese ၄၉၁၀၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 491010, here are decompositions:

7 + 491003 = 491010
17 + 490993 = 491010
19 + 490991 = 491010
41 + 490969 = 491010
43 + 490967 = 491010
53 + 490957 = 491010
59 + 490951 = 491010
61 + 490949 = 491010

Showing the first eight; more decompositions exist.

Hex color

#077E02

RGB(7, 126, 2)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.126.2.

Address: 0.7.126.2
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.126.2

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 491,010 and was likely granted around 1892.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US491,010 on Google Patents ↗ Look up on USPTO ↗