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502,440

502,440 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.).

502,440 (five hundred two thousand four hundred forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 53 × 79. Its proper divisors sum to 1,052,760, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7AAA8.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
44,205
Square (n²)
252,445,953,600
Cube (n³)
126,838,944,926,784,000
Divisor count
64
σ(n) — sum of divisors
1,555,200
φ(n) — Euler's totient
129,792
Sum of prime factors
146

Primality

Prime factorization: 2 3 × 3 × 5 × 53 × 79

Nearest primes: 502,429 (−11) · 502,441 (+1)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 53 · 60 · 79 · 106 · 120 · 158 · 159 · 212 · 237 · 265 · 316 · 318 · 395 · 424 · 474 · 530 · 632 · 636 · 790 · 795 · 948 · 1060 · 1185 · 1272 · 1580 · 1590 · 1896 · 2120 · 2370 · 3160 · 3180 · 4187 · 4740 · 6360 · 8374 · 9480 · 12561 · 16748 · 20935 · 25122 · 33496 · 41870 · 50244 · 62805 · 83740 · 100488 · 125610 · 167480 · 251220 (half) · 502440
Aliquot sum (sum of proper divisors): 1,052,760
Factor pairs (a × b = 502,440)
1 × 502440
2 × 251220
3 × 167480
4 × 125610
5 × 100488
6 × 83740
8 × 62805
10 × 50244
12 × 41870
15 × 33496
20 × 25122
24 × 20935
30 × 16748
40 × 12561
53 × 9480
60 × 8374
79 × 6360
106 × 4740
120 × 4187
158 × 3180
159 × 3160
212 × 2370
237 × 2120
265 × 1896
316 × 1590
318 × 1580
395 × 1272
424 × 1185
474 × 1060
530 × 948
632 × 795
636 × 790
First multiples
502,440 · 1,004,880 (double) · 1,507,320 · 2,009,760 · 2,512,200 · 3,014,640 · 3,517,080 · 4,019,520 · 4,521,960 · 5,024,400

Sums & aliquot sequence

As consecutive integers: 167,479 + 167,480 + 167,481 100,486 + 100,487 + 100,488 + 100,489 + 100,490 33,489 + 33,490 + … + 33,503 31,395 + 31,396 + … + 31,410
Aliquot sequence: 502,440 1,052,760 2,218,920 5,224,440 12,738,120 25,891,320 69,747,720 175,075,320 445,967,880 901,751,160 1,805,502,120 3,611,004,600 10,209,539,400 — keeps growing

Continued fraction of √n

√502,440 = [708; (1, 4, 1, 7, 1, 1, 4, 35, 4, 1, 1, 7, 1, 4, 1, 1416)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
five hundred two thousand four hundred forty
Ordinal
502440th
Binary
1111010101010101000
Octal
1725250
Hexadecimal
0x7AAA8
Base64
B6qo
One's complement
4,294,464,855 (32-bit)
Scientific notation
5.0244 × 10⁵
As a duration
502,440 s = 5 days, 19 hours, 34 minutes
In other bases
ternary (3) 221112012220
quaternary (4) 1322222220
quinary (5) 112034230
senary (6) 14434040
septenary (7) 4161561
nonary (9) 845186
undecimal (11) 313544
duodecimal (12) 202920
tridecimal (13) 147903
tetradecimal (14) d1168
pentadecimal (15) 9dd10

As an angle

502,440° = 1,395 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵φβυμʹ
Chinese
五十萬二千四百四十
Chinese (financial)
伍拾萬貳仟肆佰肆拾
In other modern scripts
Eastern Arabic ٥٠٢٤٤٠ Devanagari ५०२४४० Bengali ৫০২৪৪০ Tamil ௫௦௨௪௪௦ Thai ๕๐๒๔๔๐ Tibetan ༥༠༢༤༤༠ Khmer ៥០២៤៤០ Lao ໕໐໒໔໔໐ Burmese ၅၀၂၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 502440, here are decompositions:

  • 11 + 502429 = 502440
  • 19 + 502421 = 502440
  • 31 + 502409 = 502440
  • 47 + 502393 = 502440
  • 101 + 502339 = 502440
  • 139 + 502301 = 502440
  • 163 + 502277 = 502440
  • 179 + 502261 = 502440

Showing the first eight; more decompositions exist.

Hex color
#07AAA8
RGB(7, 170, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.170.168.

Address
0.7.170.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.170.168

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 502,440 and was likely granted around 1893.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.