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478,608

478,608 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.).

478,608 (four hundred seventy-eight thousand six hundred eight) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3 × 13² × 59. Its proper divisors sum to 882,912, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74D90.

Abundant Number Arithmetic Number Gapful Number Odious Number Practical Number Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
33
Digit product
0
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
806,874
Square (n²)
229,065,617,664
Cube (n³)
109,632,637,138,931,712
Divisor count
60
σ(n) — sum of divisors
1,361,520
φ(n) — Euler's totient
144,768
Sum of prime factors
96

Primality

Prime factorization: 2 4 × 3 × 13 2 × 59

Nearest primes: 478,603 (−5) · 478,627 (+19)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 16 · 24 · 26 · 39 · 48 · 52 · 59 · 78 · 104 · 118 · 156 · 169 · 177 · 208 · 236 · 312 · 338 · 354 · 472 · 507 · 624 · 676 · 708 · 767 · 944 · 1014 · 1352 · 1416 · 1534 · 2028 · 2301 · 2704 · 2832 · 3068 · 4056 · 4602 · 6136 · 8112 · 9204 · 9971 · 12272 · 18408 · 19942 · 29913 · 36816 · 39884 · 59826 · 79768 · 119652 · 159536 · 239304 (half) · 478608
Aliquot sum (sum of proper divisors): 882,912
Factor pairs (a × b = 478,608)
1 × 478608
2 × 239304
3 × 159536
4 × 119652
6 × 79768
8 × 59826
12 × 39884
13 × 36816
16 × 29913
24 × 19942
26 × 18408
39 × 12272
48 × 9971
52 × 9204
59 × 8112
78 × 6136
104 × 4602
118 × 4056
156 × 3068
169 × 2832
177 × 2704
208 × 2301
236 × 2028
312 × 1534
338 × 1416
354 × 1352
472 × 1014
507 × 944
624 × 767
676 × 708
First multiples
478,608 · 957,216 (double) · 1,435,824 · 1,914,432 · 2,393,040 · 2,871,648 · 3,350,256 · 3,828,864 · 4,307,472 · 4,786,080

Sums & aliquot sequence

As consecutive integers: 159,535 + 159,536 + 159,537 36,810 + 36,811 + … + 36,822 14,941 + 14,942 + … + 14,972 12,253 + 12,254 + … + 12,291
Aliquot sequence: 478,608 882,912 1,575,600 3,913,632 7,408,224 14,409,936 25,918,274 13,066,174 8,415,026 4,258,558 2,129,282 1,160,830 1,169,378 857,566 432,818 219,262 118,634 — unresolved within range

Continued fraction of √n

√478,608 = [691; (1, 4, 2, 2, 6, 1, 5, 8, 60, 28, 4, 1, 1, 7, 1, 1, 1, 2, 1, 1, 5, 2, 2, 3, …)]

Representations

In words
four hundred seventy-eight thousand six hundred eight
Ordinal
478608th
Binary
1110100110110010000
Octal
1646620
Hexadecimal
0x74D90
Base64
B02Q
One's complement
4,294,488,687 (32-bit)
Scientific notation
4.78608 × 10⁵
As a duration
478,608 s = 5 days, 12 hours, 56 minutes, 48 seconds
In other bases
ternary (3) 220022112020
quaternary (4) 1310312100
quinary (5) 110303413
senary (6) 14131440
septenary (7) 4032234
nonary (9) 808466
undecimal (11) 2a7649
duodecimal (12) 1b0b80
tridecimal (13) 139b00
tetradecimal (14) c65c4
pentadecimal (15) 96c23

As an angle

478,608° = 1,329 × 360° + 168°
168° ≈ 2.932 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοηχηʹ
Chinese
四十七萬八千六百零八
Chinese (financial)
肆拾柒萬捌仟陸佰零捌
In other modern scripts
Eastern Arabic ٤٧٨٦٠٨ Devanagari ४७८६०८ Bengali ৪৭৮৬০৮ Tamil ௪௭௮௬௦௮ Thai ๔๗๘๖๐๘ Tibetan ༤༧༨༦༠༨ Khmer ៤៧៨៦០៨ Lao ໔໗໘໖໐໘ Burmese ၄၇၈၆၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 478608, here are decompositions:

  • 5 + 478603 = 478608
  • 19 + 478589 = 478608
  • 29 + 478579 = 478608
  • 37 + 478571 = 478608
  • 127 + 478481 = 478608
  • 149 + 478459 = 478608
  • 157 + 478451 = 478608
  • 167 + 478441 = 478608

Showing the first eight; more decompositions exist.

Hex color
#074D90
RGB(7, 77, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.77.144.

Address
0.7.77.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.77.144

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 478,608 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°.