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497,952

497,952 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.).

497,952 (four hundred ninety-seven thousand nine hundred fifty-two) is an even 6-digit number. It is a composite number with 144 divisors, and factors as 2⁵ × 3² × 7 × 13 × 19. Its proper divisors sum to 1,336,608, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x79920.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
22,680
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
259,794
Square (n²)
247,956,194,304
Cube (n³)
123,470,282,866,065,408
Divisor count
144
σ(n) — sum of divisors
1,834,560
φ(n) — Euler's totient
124,416
Sum of prime factors
55

Primality

Prime factorization: 2 5 × 3 2 × 7 × 13 × 19

Nearest primes: 497,929 (−23) · 497,957 (+5)

Divisors & multiples

All divisors (144)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 13 · 14 · 16 · 18 · 19 · 21 · 24 · 26 · 28 · 32 · 36 · 38 · 39 · 42 · 48 · 52 · 56 · 57 · 63 · 72 · 76 · 78 · 84 · 91 · 96 · 104 · 112 · 114 · 117 · 126 · 133 · 144 · 152 · 156 · 168 · 171 · 182 · 208 · 224 · 228 · 234 · 247 · 252 · 266 · 273 · 288 · 304 · 312 · 336 · 342 · 364 · 399 · 416 · 456 · 468 · 494 · 504 · 532 · 546 · 608 · 624 · 672 · 684 · 728 · 741 · 798 · 819 · 912 · 936 · 988 · 1008 · 1064 · 1092 · 1197 · 1248 · 1368 · 1456 · 1482 · 1596 · 1638 · 1729 · 1824 · 1872 · 1976 · 2016 · 2128 · 2184 · 2223 · 2394 · 2736 · 2912 · 2964 · 3192 · 3276 · 3458 · 3744 · 3952 · 4256 · 4368 · 4446 · 4788 · 5187 · 5472 · 5928 · 6384 · 6552 · 6916 · 7904 · 8736 · 8892 · 9576 · 10374 · 11856 · 12768 · 13104 · 13832 · 15561 · 17784 · 19152 · 20748 · 23712 · 26208 · 27664 · 31122 · 35568 · 38304 · 41496 · 55328 · 62244 · 71136 · 82992 · 124488 · 165984 · 248976 (half) · 497952
Aliquot sum (sum of proper divisors): 1,336,608
Factor pairs (a × b = 497,952)
1 × 497952
2 × 248976
3 × 165984
4 × 124488
6 × 82992
7 × 71136
8 × 62244
9 × 55328
12 × 41496
13 × 38304
14 × 35568
16 × 31122
18 × 27664
19 × 26208
21 × 23712
24 × 20748
26 × 19152
28 × 17784
32 × 15561
36 × 13832
38 × 13104
39 × 12768
42 × 11856
48 × 10374
52 × 9576
56 × 8892
57 × 8736
63 × 7904
72 × 6916
76 × 6552
78 × 6384
84 × 5928
91 × 5472
96 × 5187
104 × 4788
112 × 4446
114 × 4368
117 × 4256
126 × 3952
133 × 3744
144 × 3458
152 × 3276
156 × 3192
168 × 2964
171 × 2912
182 × 2736
208 × 2394
224 × 2223
228 × 2184
234 × 2128
247 × 2016
252 × 1976
266 × 1872
273 × 1824
288 × 1729
304 × 1638
312 × 1596
336 × 1482
342 × 1456
364 × 1368
399 × 1248
416 × 1197
456 × 1092
468 × 1064
494 × 1008
504 × 988
532 × 936
546 × 912
608 × 819
624 × 798
672 × 741
684 × 728
First multiples
497,952 · 995,904 (double) · 1,493,856 · 1,991,808 · 2,489,760 · 2,987,712 · 3,485,664 · 3,983,616 · 4,481,568 · 4,979,520

Sums & aliquot sequence

As a sum of two cubes: 17³ + 79³
As consecutive integers: 165,983 + 165,984 + 165,985 71,133 + 71,134 + … + 71,139 55,324 + 55,325 + … + 55,332 38,298 + 38,299 + … + 38,310
Aliquot sequence: 497,952 1,336,608 3,743,712 8,755,488 20,649,888 46,468,800 142,696,176 279,895,824 618,093,576 1,055,910,054 1,055,910,066 1,169,581,134 1,174,866,738 1,174,866,750 2,038,215,330 3,261,144,762 4,271,476,698 — unresolved within range

Continued fraction of √n

√497,952 = [705; (1, 1, 1, 10, 1, 351, 1, 10, 1, 1, 1, 1410)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety-seven thousand nine hundred fifty-two
Ordinal
497952nd
Binary
1111001100100100000
Octal
1714440
Hexadecimal
0x79920
Base64
B5kg
One's complement
4,294,469,343 (32-bit)
Scientific notation
4.97952 × 10⁵
As a duration
497,952 s = 5 days, 18 hours, 19 minutes, 12 seconds
In other bases
ternary (3) 221022001200
quaternary (4) 1321210200
quinary (5) 111413302
senary (6) 14401200
septenary (7) 4142520
nonary (9) 838050
undecimal (11) 310134
duodecimal (12) 200200
tridecimal (13) 145860
tetradecimal (14) cd680
pentadecimal (15) 9c81c

As an angle

497,952° = 1,383 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υϟζϡνβʹ
Chinese
四十九萬七千九百五十二
Chinese (financial)
肆拾玖萬柒仟玖佰伍拾貳
In other modern scripts
Eastern Arabic ٤٩٧٩٥٢ Devanagari ४९७९५२ Bengali ৪৯৭৯৫২ Tamil ௪௯௭௯௫௨ Thai ๔๙๗๙๕๒ Tibetan ༤༩༧༩༥༢ Khmer ៤៩៧៩៥២ Lao ໔໙໗໙໕໒ Burmese ၄၉၇၉၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 497952, here are decompositions:

  • 23 + 497929 = 497952
  • 53 + 497899 = 497952
  • 79 + 497873 = 497952
  • 83 + 497869 = 497952
  • 101 + 497851 = 497952
  • 113 + 497839 = 497952
  • 139 + 497813 = 497952
  • 151 + 497801 = 497952

Showing the first eight; more decompositions exist.

Hex color
#079920
RGB(7, 153, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.153.32.

Address
0.7.153.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.153.32

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 497,952 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°.