Live analysis

492,240

492,240 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.).

492,240 (four hundred ninety-two thousand two hundred forty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 7 × 293. Its proper divisors sum to 1,257,648, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x782D0.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

492,228 492,229 492,230 492,231 492,232 492,233 492,234 492,235 492,236 492,237 492,238 492,239 492,240 492,241 492,242 492,243 492,244 492,245 492,246 492,247 492,248 492,249 492,250 492,251 492,252

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Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 19 bits
Reversed: 42,294
Square (n²): 242,300,217,600
Cube (n³): 119,269,859,111,424,000
Divisor count: 80
σ(n) — sum of divisors: 1,749,888
φ(n) — Euler's totient: 112,128
Sum of prime factors: 316

Primality

Prime factorization: 2 ⁴ × 3 × 5 × 7 × 293

Nearest primes: 492,227 (−13) · 492,251 (+11)

Divisors & multiples

All divisors (80)

1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 28 · 30 · 35 · 40 · 42 · 48 · 56 · 60 · 70 · 80 · 84 · 105 · 112 · 120 · 140 · 168 · 210 · 240 · 280 · 293 · 336 · 420 · 560 · 586 · 840 · 879 · 1172 · 1465 · 1680 · 1758 · 2051 · 2344 · 2930 · 3516 · 4102 · 4395 · 4688 · 5860 · 6153 · 7032 · 8204 · 8790 · 10255 · 11720 · 12306 · 14064 · 16408 · 17580 · 20510 · 23440 · 24612 · 30765 · 32816 · 35160 · 41020 · 49224 · 61530 · 70320 · 82040 · 98448 · 123060 · 164080 · 246120 (half) · 492240

Aliquot sum (sum of proper divisors): 1,257,648

Factor pairs (a × b = 492,240)

1 × 492240

2 × 246120

3 × 164080

4 × 123060

5 × 98448

6 × 82040

7 × 70320

8 × 61530

10 × 49224

12 × 41020

14 × 35160

15 × 32816

16 × 30765

20 × 24612

21 × 23440

24 × 20510

28 × 17580

30 × 16408

35 × 14064

40 × 12306

42 × 11720

48 × 10255

56 × 8790

60 × 8204

70 × 7032

80 × 6153

84 × 5860

105 × 4688

112 × 4395

120 × 4102

140 × 3516

168 × 2930

210 × 2344

240 × 2051

280 × 1758

293 × 1680

336 × 1465

420 × 1172

560 × 879

586 × 840

First multiples

492,240 · 984,480 (double) · 1,476,720 · 1,968,960 · 2,461,200 · 2,953,440 · 3,445,680 · 3,937,920 · 4,430,160 · 4,922,400

Sums & aliquot sequence

As consecutive integers: 164,079 + 164,080 + 164,081 98,446 + 98,447 + 98,448 + 98,449 + 98,450 70,317 + 70,318 + … + 70,323 32,809 + 32,810 + … + 32,823

Aliquot sequence: 492,240 → 1,257,648 → 2,670,672 → 4,228,688 → 4,321,360 → 6,258,320 → 8,292,460 → 10,705,316 → 8,028,994 → 4,014,500 → 6,608,476 → 6,608,532 → 11,330,508 → 18,884,404 → 25,356,716 → 34,014,484 → 41,827,436 — unresolved within range

Continued fraction of √n

√492,240 = [701; (1, 1, 2, 21, 1, 1, 9, 1, 1, 21, 2, 1, 1, 1402)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: four hundred ninety-two thousand two hundred forty
Ordinal: 492240th
Binary: 1111000001011010000
Octal: 1701320
Hexadecimal: 0x782D0
Base64: B4LQ
One's complement: 4,294,475,055 (32-bit)
Scientific notation: 4.9224 × 10⁵
As a duration: 492,240 s = 5 days, 16 hours, 44 minutes

In other bases

ternary (3) 221000020010

quaternary (4) 1320023100

quinary (5) 111222430

senary (6) 14314520

septenary (7) 4120050

nonary (9) 830203

undecimal (11) 306911

duodecimal (12) 1b8a40

tridecimal (13) 143088

tetradecimal (14) cb560

pentadecimal (15) 9acb0

As an angle

492,240° = 1,367 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵υϟβσμʹ
Chinese: 四十九萬二千二百四十
Chinese (financial): 肆拾玖萬貳仟貳佰肆拾

In other modern scripts

Eastern Arabic ٤٩٢٢٤٠ Devanagari ४९२२४० Bengali ৪৯২২৪০ Tamil ௪௯௨௨௪௦ Thai ๔๙๒๒๔๐ Tibetan ༤༩༢༢༤༠ Khmer ៤៩២២៤០ Lao ໔໙໒໒໔໐ Burmese ၄၉၂၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 492240, here are decompositions:

13 + 492227 = 492240
127 + 492113 = 492240
137 + 492103 = 492240
157 + 492083 = 492240
163 + 492077 = 492240
173 + 492067 = 492240
179 + 492061 = 492240
181 + 492059 = 492240

Showing the first eight; more decompositions exist.

Hex color

#0782D0

RGB(7, 130, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.130.208.

Address: 0.7.130.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.130.208

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 492,240 and was likely granted around 1893.

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

Look up US492,240 on Google Patents ↗ Look up on USPTO ↗