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488,376

488,376 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.).

488,376 (four hundred eighty-eight thousand three hundred seventy-six) is an even 6-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3³ × 7 × 17 × 19. Its proper divisors sum to 1,239,624, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x773B8.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Self 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
673,884
Square (n²)
238,511,117,376
Cube (n³)
116,483,105,459,621,376
Divisor count
128
σ(n) — sum of divisors
1,728,000
φ(n) — Euler's totient
124,416
Sum of prime factors
58

Primality

Prime factorization: 2 3 × 3 3 × 7 × 17 × 19

Nearest primes: 488,353 (−23) · 488,381 (+5)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 17 · 18 · 19 · 21 · 24 · 27 · 28 · 34 · 36 · 38 · 42 · 51 · 54 · 56 · 57 · 63 · 68 · 72 · 76 · 84 · 102 · 108 · 114 · 119 · 126 · 133 · 136 · 152 · 153 · 168 · 171 · 189 · 204 · 216 · 228 · 238 · 252 · 266 · 306 · 323 · 342 · 357 · 378 · 399 · 408 · 456 · 459 · 476 · 504 · 513 · 532 · 612 · 646 · 684 · 714 · 756 · 798 · 918 · 952 · 969 · 1026 · 1064 · 1071 · 1197 · 1224 · 1292 · 1368 · 1428 · 1512 · 1596 · 1836 · 1938 · 2052 · 2142 · 2261 · 2394 · 2584 · 2856 · 2907 · 3192 · 3213 · 3591 · 3672 · 3876 · 4104 · 4284 · 4522 · 4788 · 5814 · 6426 · 6783 · 7182 · 7752 · 8568 · 8721 · 9044 · 9576 · 11628 · 12852 · 13566 · 14364 · 17442 · 18088 · 20349 · 23256 · 25704 · 27132 · 28728 · 34884 · 40698 · 54264 · 61047 · 69768 · 81396 · 122094 · 162792 · 244188 (half) · 488376
Aliquot sum (sum of proper divisors): 1,239,624
Factor pairs (a × b = 488,376)
1 × 488376
2 × 244188
3 × 162792
4 × 122094
6 × 81396
7 × 69768
8 × 61047
9 × 54264
12 × 40698
14 × 34884
17 × 28728
18 × 27132
19 × 25704
21 × 23256
24 × 20349
27 × 18088
28 × 17442
34 × 14364
36 × 13566
38 × 12852
42 × 11628
51 × 9576
54 × 9044
56 × 8721
57 × 8568
63 × 7752
68 × 7182
72 × 6783
76 × 6426
84 × 5814
102 × 4788
108 × 4522
114 × 4284
119 × 4104
126 × 3876
133 × 3672
136 × 3591
152 × 3213
153 × 3192
168 × 2907
171 × 2856
189 × 2584
204 × 2394
216 × 2261
228 × 2142
238 × 2052
252 × 1938
266 × 1836
306 × 1596
323 × 1512
342 × 1428
357 × 1368
378 × 1292
399 × 1224
408 × 1197
456 × 1071
459 × 1064
476 × 1026
504 × 969
513 × 952
532 × 918
612 × 798
646 × 756
684 × 714
First multiples
488,376 · 976,752 (double) · 1,465,128 · 1,953,504 · 2,441,880 · 2,930,256 · 3,418,632 · 3,907,008 · 4,395,384 · 4,883,760

Sums & aliquot sequence

As a sum of two cubes: 24³ + 78³
As consecutive integers: 162,791 + 162,792 + 162,793 69,765 + 69,766 + … + 69,771 54,260 + 54,261 + … + 54,268 30,516 + 30,517 + … + 30,531
Aliquot sequence: 488,376 1,239,624 2,234,286 3,007,314 3,675,726 4,687,794 6,376,446 7,439,226 7,466,502 8,583,162 11,035,590 15,449,898 15,449,910 26,927,562 27,211,830 38,259,498 39,120,342 — unresolved within range

Continued fraction of √n

√488,376 = [698; (1, 5, 4, 1, 2, 2, 1, 2, 2, 1, 4, 5, 1, 1396)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
four hundred eighty-eight thousand three hundred seventy-six
Ordinal
488376th
Binary
1110111001110111000
Octal
1671670
Hexadecimal
0x773B8
Base64
B3O4
One's complement
4,294,478,919 (32-bit)
Scientific notation
4.88376 × 10⁵
As a duration
488,376 s = 5 days, 15 hours, 39 minutes, 36 seconds
In other bases
ternary (3) 220210221000
quaternary (4) 1313032320
quinary (5) 111112001
senary (6) 14245000
septenary (7) 4102560
nonary (9) 823830
undecimal (11) 303a19
duodecimal (12) 1b6760
tridecimal (13) 1413a5
tetradecimal (14) c9da0
pentadecimal (15) 99a86

As an angle

488,376° = 1,356 × 360° + 216°
216° ≈ 3.77 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υπητοϛʹ
Chinese
四十八萬八千三百七十六
Chinese (financial)
肆拾捌萬捌仟參佰柒拾陸
In other modern scripts
Eastern Arabic ٤٨٨٣٧٦ Devanagari ४८८३७६ Bengali ৪৮৮৩৭৬ Tamil ௪௮௮௩௭௬ Thai ๔๘๘๓๗๖ Tibetan ༤༨༨༣༧༦ Khmer ៤៨៨៣៧៦ Lao ໔໘໘໓໗໖ Burmese ၄၈၈၃၇၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 488376, here are decompositions:

  • 23 + 488353 = 488376
  • 29 + 488347 = 488376
  • 37 + 488339 = 488376
  • 43 + 488333 = 488376
  • 47 + 488329 = 488376
  • 59 + 488317 = 488376
  • 67 + 488309 = 488376
  • 73 + 488303 = 488376

Showing the first eight; more decompositions exist.

Hex color
#0773B8
RGB(7, 115, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.115.184.

Address
0.7.115.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.115.184

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 488,376 and was likely granted around 1892.

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°.