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492,048

492,048 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.).

492,048 (four hundred ninety-two thousand forty-eight) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3³ × 17 × 67. Its proper divisors sum to 1,025,712, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x78210.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
840,294
Square (n²)
242,111,234,304
Cube (n³)
119,130,348,616,814,592
Divisor count
80
σ(n) — sum of divisors
1,517,760
φ(n) — Euler's totient
152,064
Sum of prime factors
101

Primality

Prime factorization: 2 4 × 3 3 × 17 × 67

Nearest primes: 492,047 (−1) · 492,053 (+5)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 17 · 18 · 24 · 27 · 34 · 36 · 48 · 51 · 54 · 67 · 68 · 72 · 102 · 108 · 134 · 136 · 144 · 153 · 201 · 204 · 216 · 268 · 272 · 306 · 402 · 408 · 432 · 459 · 536 · 603 · 612 · 804 · 816 · 918 · 1072 · 1139 · 1206 · 1224 · 1608 · 1809 · 1836 · 2278 · 2412 · 2448 · 3216 · 3417 · 3618 · 3672 · 4556 · 4824 · 6834 · 7236 · 7344 · 9112 · 9648 · 10251 · 13668 · 14472 · 18224 · 20502 · 27336 · 28944 · 30753 · 41004 · 54672 · 61506 · 82008 · 123012 · 164016 · 246024 (half) · 492048
Aliquot sum (sum of proper divisors): 1,025,712
Factor pairs (a × b = 492,048)
1 × 492048
2 × 246024
3 × 164016
4 × 123012
6 × 82008
8 × 61506
9 × 54672
12 × 41004
16 × 30753
17 × 28944
18 × 27336
24 × 20502
27 × 18224
34 × 14472
36 × 13668
48 × 10251
51 × 9648
54 × 9112
67 × 7344
68 × 7236
72 × 6834
102 × 4824
108 × 4556
134 × 3672
136 × 3618
144 × 3417
153 × 3216
201 × 2448
204 × 2412
216 × 2278
268 × 1836
272 × 1809
306 × 1608
402 × 1224
408 × 1206
432 × 1139
459 × 1072
536 × 918
603 × 816
612 × 804
First multiples
492,048 · 984,096 (double) · 1,476,144 · 1,968,192 · 2,460,240 · 2,952,288 · 3,444,336 · 3,936,384 · 4,428,432 · 4,920,480

Sums & aliquot sequence

As consecutive integers: 164,015 + 164,016 + 164,017 54,668 + 54,669 + … + 54,676 28,936 + 28,937 + … + 28,952 18,211 + 18,212 + … + 18,237
Aliquot sequence: 492,048 1,025,712 2,020,968 3,452,682 3,691,158 3,817,002 5,064,054 5,096,586 6,847,350 10,294,410 19,254,390 26,956,218 27,315,078 35,119,482 38,173,638 38,379,642 56,487,558 — unresolved within range

Continued fraction of √n

√492,048 = [701; (2, 5, 1, 27, 1, 3, 1, 1, 1, 5, 1, 4, 1, 1, 1, 2, 2, 2, 1, 3, 5, 1, 1, 1, …)]

Representations

In words
four hundred ninety-two thousand forty-eight
Ordinal
492048th
Binary
1111000001000010000
Octal
1701020
Hexadecimal
0x78210
Base64
B4IQ
One's complement
4,294,475,247 (32-bit)
Scientific notation
4.92048 × 10⁵
As a duration
492,048 s = 5 days, 16 hours, 40 minutes, 48 seconds
In other bases
ternary (3) 220222222000
quaternary (4) 1320020100
quinary (5) 111221143
senary (6) 14314000
septenary (7) 4116354
nonary (9) 828860
undecimal (11) 306757
duodecimal (12) 1b8900
tridecimal (13) 142c6b
tetradecimal (14) cb464
pentadecimal (15) 9abd3

As an angle

492,048° = 1,366 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υϟβμηʹ
Chinese
四十九萬二千零四十八
Chinese (financial)
肆拾玖萬貳仟零肆拾捌
In other modern scripts
Eastern Arabic ٤٩٢٠٤٨ Devanagari ४९२०४८ Bengali ৪৯২০৪৮ Tamil ௪௯௨௦௪௮ Thai ๔๙๒๐๔๘ Tibetan ༤༩༢༠༤༨ Khmer ៤៩២០៤៨ Lao ໔໙໒໐໔໘ Burmese ၄၉၂၀၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 492048, here are decompositions:

  • 19 + 492029 = 492048
  • 31 + 492017 = 492048
  • 41 + 492007 = 492048
  • 71 + 491977 = 492048
  • 79 + 491969 = 492048
  • 97 + 491951 = 492048
  • 149 + 491899 = 492048
  • 181 + 491867 = 492048

Showing the first eight; more decompositions exist.

Hex color
#078210
RGB(7, 130, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.130.16.

Address
0.7.130.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.130.16

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 492,048 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 492048 first appears in π at position 641,913 of the decimal expansion (the 641,913ordinal-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°.