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497,448

497,448 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.).

497,448 (four hundred ninety-seven thousand four hundred forty-eight) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3³ × 7² × 47. Its proper divisors sum to 1,144,152, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x79728.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
32,256
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
844,794
Square (n²)
247,454,512,704
Cube (n³)
123,095,752,435,579,392
Divisor count
96
σ(n) — sum of divisors
1,641,600
φ(n) — Euler's totient
139,104
Sum of prime factors
76

Primality

Prime factorization: 2 3 × 3 3 × 7 2 × 47

Nearest primes: 497,423 (−25) · 497,449 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 18 · 21 · 24 · 27 · 28 · 36 · 42 · 47 · 49 · 54 · 56 · 63 · 72 · 84 · 94 · 98 · 108 · 126 · 141 · 147 · 168 · 188 · 189 · 196 · 216 · 252 · 282 · 294 · 329 · 376 · 378 · 392 · 423 · 441 · 504 · 564 · 588 · 658 · 756 · 846 · 882 · 987 · 1128 · 1176 · 1269 · 1316 · 1323 · 1512 · 1692 · 1764 · 1974 · 2303 · 2538 · 2632 · 2646 · 2961 · 3384 · 3528 · 3948 · 4606 · 5076 · 5292 · 5922 · 6909 · 7896 · 8883 · 9212 · 10152 · 10584 · 11844 · 13818 · 17766 · 18424 · 20727 · 23688 · 27636 · 35532 · 41454 · 55272 · 62181 · 71064 · 82908 · 124362 · 165816 · 248724 (half) · 497448
Aliquot sum (sum of proper divisors): 1,144,152
Factor pairs (a × b = 497,448)
1 × 497448
2 × 248724
3 × 165816
4 × 124362
6 × 82908
7 × 71064
8 × 62181
9 × 55272
12 × 41454
14 × 35532
18 × 27636
21 × 23688
24 × 20727
27 × 18424
28 × 17766
36 × 13818
42 × 11844
47 × 10584
49 × 10152
54 × 9212
56 × 8883
63 × 7896
72 × 6909
84 × 5922
94 × 5292
98 × 5076
108 × 4606
126 × 3948
141 × 3528
147 × 3384
168 × 2961
188 × 2646
189 × 2632
196 × 2538
216 × 2303
252 × 1974
282 × 1764
294 × 1692
329 × 1512
376 × 1323
378 × 1316
392 × 1269
423 × 1176
441 × 1128
504 × 987
564 × 882
588 × 846
658 × 756
First multiples
497,448 · 994,896 (double) · 1,492,344 · 1,989,792 · 2,487,240 · 2,984,688 · 3,482,136 · 3,979,584 · 4,477,032 · 4,974,480

Sums & aliquot sequence

As consecutive integers: 165,815 + 165,816 + 165,817 71,061 + 71,062 + … + 71,067 55,268 + 55,269 + … + 55,276 31,083 + 31,084 + … + 31,098
Aliquot sequence: 497,448 1,144,152 2,034,648 4,854,312 8,292,978 9,675,180 24,193,620 57,938,220 131,834,580 250,036,140 450,065,220 928,999,740 1,691,209,572 2,808,486,300 5,735,466,852 8,318,200,860 17,727,624,036 — keeps growing

Continued fraction of √n

√497,448 = [705; (3, 2, 1, 156, 30, 156, 1, 2, 3, 1410)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety-seven thousand four hundred forty-eight
Ordinal
497448th
Binary
1111001011100101000
Octal
1713450
Hexadecimal
0x79728
Base64
B5co
One's complement
4,294,469,847 (32-bit)
Scientific notation
4.97448 × 10⁵
As a duration
497,448 s = 5 days, 18 hours, 10 minutes, 48 seconds
In other bases
ternary (3) 221021101000
quaternary (4) 1321130220
quinary (5) 111404243
senary (6) 14355000
septenary (7) 4141200
nonary (9) 837330
undecimal (11) 30a816
duodecimal (12) 1bba60
tridecimal (13) 145563
tetradecimal (14) cd400
pentadecimal (15) 9c5d3

As an angle

497,448° = 1,381 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υϟζυμηʹ
Chinese
四十九萬七千四百四十八
Chinese (financial)
肆拾玖萬柒仟肆佰肆拾捌
In other modern scripts
Eastern Arabic ٤٩٧٤٤٨ Devanagari ४९७४४८ Bengali ৪৯৭৪৪৮ Tamil ௪௯௭௪௪௮ Thai ๔๙๗๔๔๘ Tibetan ༤༩༧༤༤༨ Khmer ៤៩៧៤៤៨ Lao ໔໙໗໔໔໘ Burmese ၄၉၇၄၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 497448, here are decompositions:

  • 31 + 497417 = 497448
  • 37 + 497411 = 497448
  • 59 + 497389 = 497448
  • 97 + 497351 = 497448
  • 109 + 497339 = 497448
  • 139 + 497309 = 497448
  • 151 + 497297 = 497448
  • 157 + 497291 = 497448

Showing the first eight; more decompositions exist.

Hex color
#079728
RGB(7, 151, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.151.40.

Address
0.7.151.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.151.40

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 497,448 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 497448 first appears in π at position 660,254 of the decimal expansion (the 660,254ordinal-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°.