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491,504

491,504 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.).

491,504 (four hundred ninety-one thousand five hundred four) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 13 × 17 × 139. Its proper divisors sum to 602,176, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77FF0.

Abundant Number Arithmetic Number Evil Number Happy Number Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
405,194
Square (n²)
241,576,182,016
Cube (n³)
118,735,659,765,592,064
Divisor count
40
σ(n) — sum of divisors
1,093,680
φ(n) — Euler's totient
211,968
Sum of prime factors
177

Primality

Prime factorization: 2 4 × 13 × 17 × 139

Nearest primes: 491,503 (−1) · 491,527 (+23)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 8 · 13 · 16 · 17 · 26 · 34 · 52 · 68 · 104 · 136 · 139 · 208 · 221 · 272 · 278 · 442 · 556 · 884 · 1112 · 1768 · 1807 · 2224 · 2363 · 3536 · 3614 · 4726 · 7228 · 9452 · 14456 · 18904 · 28912 · 30719 · 37808 · 61438 · 122876 · 245752 (half) · 491504
Aliquot sum (sum of proper divisors): 602,176
Factor pairs (a × b = 491,504)
1 × 491504
2 × 245752
4 × 122876
8 × 61438
13 × 37808
16 × 30719
17 × 28912
26 × 18904
34 × 14456
52 × 9452
68 × 7228
104 × 4726
136 × 3614
139 × 3536
208 × 2363
221 × 2224
272 × 1807
278 × 1768
442 × 1112
556 × 884
First multiples
491,504 · 983,008 (double) · 1,474,512 · 1,966,016 · 2,457,520 · 2,949,024 · 3,440,528 · 3,932,032 · 4,423,536 · 4,915,040

Sums & aliquot sequence

As consecutive integers: 37,802 + 37,803 + … + 37,814 28,904 + 28,905 + … + 28,920 15,344 + 15,345 + … + 15,375 3,467 + 3,468 + … + 3,605
Aliquot sequence: 491,504 602,176 605,213 109,027 3,549 2,307 773 1 0 — terminates at zero

Continued fraction of √n

√491,504 = [701; (13, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 6, 1, 5, 1, 6, 1, 2, 1, 1, 1, 2, 1, 1, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety-one thousand five hundred four
Ordinal
491504th
Binary
1110111111111110000
Octal
1677760
Hexadecimal
0x77FF0
Base64
B3/w
One's complement
4,294,475,791 (32-bit)
Scientific notation
4.91504 × 10⁵
As a duration
491,504 s = 5 days, 16 hours, 31 minutes, 44 seconds
In other bases
ternary (3) 220222012212
quaternary (4) 1313333300
quinary (5) 111212004
senary (6) 14311252
septenary (7) 4114646
nonary (9) 828185
undecimal (11) 306302
duodecimal (12) 1b8528
tridecimal (13) 142940
tetradecimal (14) cb196
pentadecimal (15) 9a96e

As an angle

491,504° = 1,365 × 360° + 104°
104° ≈ 1.815 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υϟαφδʹ
Chinese
四十九萬一千五百零四
Chinese (financial)
肆拾玖萬壹仟伍佰零肆
In other modern scripts
Eastern Arabic ٤٩١٥٠٤ Devanagari ४९१५०४ Bengali ৪৯১৫০৪ Tamil ௪௯௧௫௦௪ Thai ๔๙๑๕๐๔ Tibetan ༤༩༡༥༠༤ Khmer ៤៩១៥០៤ Lao ໔໙໑໕໐໔ Burmese ၄၉၁၅၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 491504, here are decompositions:

  • 3 + 491501 = 491504
  • 7 + 491497 = 491504
  • 43 + 491461 = 491504
  • 127 + 491377 = 491504
  • 151 + 491353 = 491504
  • 163 + 491341 = 491504
  • 337 + 491167 = 491504
  • 367 + 491137 = 491504

Showing the first eight; more decompositions exist.

Hex color
#077FF0
RGB(7, 127, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.127.240.

Address
0.7.127.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.127.240

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 491,504 and was likely granted around 1893.

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

Position in π

The digit sequence 491504 first appears in π at position 378,845 of the decimal expansion (the 378,845ordinal-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°.