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492,072

492,072 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.).

492,072 (four hundred ninety-two thousand seventy-two) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 7 × 29 × 101. Its proper divisors sum to 976,728, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x78228.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
270,294
Square (n²)
242,134,853,184
Cube (n³)
119,147,781,475,957,248
Divisor count
64
σ(n) — sum of divisors
1,468,800
φ(n) — Euler's totient
134,400
Sum of prime factors
146

Primality

Prime factorization: 2 3 × 3 × 7 × 29 × 101

Nearest primes: 492,067 (−5) · 492,077 (+5)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 21 · 24 · 28 · 29 · 42 · 56 · 58 · 84 · 87 · 101 · 116 · 168 · 174 · 202 · 203 · 232 · 303 · 348 · 404 · 406 · 606 · 609 · 696 · 707 · 808 · 812 · 1212 · 1218 · 1414 · 1624 · 2121 · 2424 · 2436 · 2828 · 2929 · 4242 · 4872 · 5656 · 5858 · 8484 · 8787 · 11716 · 16968 · 17574 · 20503 · 23432 · 35148 · 41006 · 61509 · 70296 · 82012 · 123018 · 164024 · 246036 (half) · 492072
Aliquot sum (sum of proper divisors): 976,728
Factor pairs (a × b = 492,072)
1 × 492072
2 × 246036
3 × 164024
4 × 123018
6 × 82012
7 × 70296
8 × 61509
12 × 41006
14 × 35148
21 × 23432
24 × 20503
28 × 17574
29 × 16968
42 × 11716
56 × 8787
58 × 8484
84 × 5858
87 × 5656
101 × 4872
116 × 4242
168 × 2929
174 × 2828
202 × 2436
203 × 2424
232 × 2121
303 × 1624
348 × 1414
404 × 1218
406 × 1212
606 × 812
609 × 808
696 × 707
First multiples
492,072 · 984,144 (double) · 1,476,216 · 1,968,288 · 2,460,360 · 2,952,432 · 3,444,504 · 3,936,576 · 4,428,648 · 4,920,720

Sums & aliquot sequence

As consecutive integers: 164,023 + 164,024 + 164,025 70,293 + 70,294 + … + 70,299 30,747 + 30,748 + … + 30,762 23,422 + 23,423 + … + 23,442
Aliquot sequence: 492,072 976,728 1,465,152 2,716,704 5,009,742 6,235,218 9,010,782 13,548,690 22,438,638 26,178,450 39,144,750 67,783,890 95,169,966 95,169,978 131,267,142 163,679,874 165,233,886 — unresolved within range

Continued fraction of √n

√492,072 = [701; (2, 11, 10, 1, 1, 5, 1, 1, 10, 11, 2, 1402)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety-two thousand seventy-two
Ordinal
492072nd
Binary
1111000001000101000
Octal
1701050
Hexadecimal
0x78228
Base64
B4Io
One's complement
4,294,475,223 (32-bit)
Scientific notation
4.92072 × 10⁵
As a duration
492,072 s = 5 days, 16 hours, 41 minutes, 12 seconds
In other bases
ternary (3) 220222222220
quaternary (4) 1320020220
quinary (5) 111221242
senary (6) 14314040
septenary (7) 4116420
nonary (9) 828886
undecimal (11) 306779
duodecimal (12) 1b8920
tridecimal (13) 142c89
tetradecimal (14) cb480
pentadecimal (15) 9abec

As an angle

492,072° = 1,366 × 360° + 312°
312° ≈ 5.445 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υϟβοβʹ
Chinese
四十九萬二千零七十二
Chinese (financial)
肆拾玖萬貳仟零柒拾貳
In other modern scripts
Eastern Arabic ٤٩٢٠٧٢ Devanagari ४९२०७२ Bengali ৪৯২০৭২ Tamil ௪௯௨௦௭௨ Thai ๔๙๒๐๗๒ Tibetan ༤༩༢༠༧༢ Khmer ៤៩២០៧២ Lao ໔໙໒໐໗໒ Burmese ၄၉၂၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 492072, here are decompositions:

  • 5 + 492067 = 492072
  • 11 + 492061 = 492072
  • 13 + 492059 = 492072
  • 19 + 492053 = 492072
  • 43 + 492029 = 492072
  • 59 + 492013 = 492072
  • 89 + 491983 = 492072
  • 103 + 491969 = 492072

Showing the first eight; more decompositions exist.

Hex color
#078228
RGB(7, 130, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.130.40.

Address
0.7.130.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.130.40

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 492,072 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 492072 first appears in π at position 525,534 of the decimal expansion (the 525,534ordinal-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°.