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502,164

502,164 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.).

502,164 (five hundred two thousand one hundred sixty-four) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 13 × 29 × 37. Its proper divisors sum to 950,196, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7A994.

Abundant Number Cube-Free Evil Number Happy Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
461,205
Square (n²)
252,168,682,896
Cube (n³)
126,630,034,477,786,944
Divisor count
72
σ(n) — sum of divisors
1,452,360
φ(n) — Euler's totient
145,152
Sum of prime factors
89

Primality

Prime factorization: 2 2 × 3 2 × 13 × 29 × 37

Nearest primes: 502,141 (−23) · 502,171 (+7)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 13 · 18 · 26 · 29 · 36 · 37 · 39 · 52 · 58 · 74 · 78 · 87 · 111 · 116 · 117 · 148 · 156 · 174 · 222 · 234 · 261 · 333 · 348 · 377 · 444 · 468 · 481 · 522 · 666 · 754 · 962 · 1044 · 1073 · 1131 · 1332 · 1443 · 1508 · 1924 · 2146 · 2262 · 2886 · 3219 · 3393 · 4292 · 4329 · 4524 · 5772 · 6438 · 6786 · 8658 · 9657 · 12876 · 13572 · 13949 · 17316 · 19314 · 27898 · 38628 · 41847 · 55796 · 83694 · 125541 · 167388 · 251082 (half) · 502164
Aliquot sum (sum of proper divisors): 950,196
Factor pairs (a × b = 502,164)
1 × 502164
2 × 251082
3 × 167388
4 × 125541
6 × 83694
9 × 55796
12 × 41847
13 × 38628
18 × 27898
26 × 19314
29 × 17316
36 × 13949
37 × 13572
39 × 12876
52 × 9657
58 × 8658
74 × 6786
78 × 6438
87 × 5772
111 × 4524
116 × 4329
117 × 4292
148 × 3393
156 × 3219
174 × 2886
222 × 2262
234 × 2146
261 × 1924
333 × 1508
348 × 1443
377 × 1332
444 × 1131
468 × 1073
481 × 1044
522 × 962
666 × 754
First multiples
502,164 · 1,004,328 (double) · 1,506,492 · 2,008,656 · 2,510,820 · 3,012,984 · 3,515,148 · 4,017,312 · 4,519,476 · 5,021,640

Sums & aliquot sequence

As a sum of two squares: 30² + 708² = 258² + 660² = 300² + 642² = 492² + 510²
As consecutive integers: 167,387 + 167,388 + 167,389 62,767 + 62,768 + … + 62,774 55,792 + 55,793 + … + 55,800 38,622 + 38,623 + … + 38,634
Aliquot sequence: 502,164 950,196 1,437,868 1,187,972 989,308 753,524 572,080 758,192 710,836 740,684 767,536 1,140,824 1,035,376 988,056 1,688,124 2,250,860 2,475,988 — unresolved within range

Continued fraction of √n

√502,164 = [708; (1, 1, 1, 2, 1, 7, 9, 1, 2, 2, 12, 1, 4, 1, 1, 9, 3, 2, 1, 1, 1, 5, 1, 2, …)]

Representations

In words
five hundred two thousand one hundred sixty-four
Ordinal
502164th
Binary
1111010100110010100
Octal
1724624
Hexadecimal
0x7A994
Base64
B6mU
One's complement
4,294,465,131 (32-bit)
Scientific notation
5.02164 × 10⁵
As a duration
502,164 s = 5 days, 19 hours, 29 minutes, 24 seconds
In other bases
ternary (3) 221111211200
quaternary (4) 1322212110
quinary (5) 112032124
senary (6) 14432500
septenary (7) 4161015
nonary (9) 844750
undecimal (11) 313313
duodecimal (12) 202730
tridecimal (13) 147750
tetradecimal (14) d100c
pentadecimal (15) 9dbc9
Palindromic in base 11

As an angle

502,164° = 1,394 × 360° + 324°
324° ≈ 5.655 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φβρξδʹ
Chinese
五十萬二千一百六十四
Chinese (financial)
伍拾萬貳仟壹佰陸拾肆
In other modern scripts
Eastern Arabic ٥٠٢١٦٤ Devanagari ५०२१६४ Bengali ৫০২১৬৪ Tamil ௫௦௨௧௬௪ Thai ๕๐๒๑๖๔ Tibetan ༥༠༢༡༦༤ Khmer ៥០២១៦៤ Lao ໕໐໒໑໖໔ Burmese ၅၀၂၁၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 502164, here are decompositions:

  • 23 + 502141 = 502164
  • 31 + 502133 = 502164
  • 43 + 502121 = 502164
  • 71 + 502093 = 502164
  • 83 + 502081 = 502164
  • 101 + 502063 = 502164
  • 107 + 502057 = 502164
  • 151 + 502013 = 502164

Showing the first eight; more decompositions exist.

Hex color
#07A994
RGB(7, 169, 148)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.169.148.

Address
0.7.169.148
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.169.148

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 502,164 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 502164 first appears in π at position 959,348 of the decimal expansion (the 959,348ordinal-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°.