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493,428

493,428 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.).

493,428 (four hundred ninety-three thousand four hundred twenty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 13 × 3,163. Its proper divisors sum to 746,860, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x78774.

Abundant Number Cube-Free Happy Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
6,912
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
824,394
Recamán's sequence
a(149,260) = 493,428
Square (n²)
243,471,191,184
Cube (n³)
120,135,502,923,538,752
Divisor count
24
σ(n) — sum of divisors
1,240,288
φ(n) — Euler's totient
151,776
Sum of prime factors
3,183

Primality

Prime factorization: 2 2 × 3 × 13 × 3163

Nearest primes: 493,403 (−25) · 493,433 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 13 · 26 · 39 · 52 · 78 · 156 · 3163 · 6326 · 9489 · 12652 · 18978 · 37956 · 41119 · 82238 · 123357 · 164476 · 246714 (half) · 493428
Aliquot sum (sum of proper divisors): 746,860
Factor pairs (a × b = 493,428)
1 × 493428
2 × 246714
3 × 164476
4 × 123357
6 × 82238
12 × 41119
13 × 37956
26 × 18978
39 × 12652
52 × 9489
78 × 6326
156 × 3163
First multiples
493,428 · 986,856 (double) · 1,480,284 · 1,973,712 · 2,467,140 · 2,960,568 · 3,453,996 · 3,947,424 · 4,440,852 · 4,934,280

Sums & aliquot sequence

As consecutive integers: 164,475 + 164,476 + 164,477 61,675 + 61,676 + … + 61,682 37,950 + 37,951 + … + 37,962 20,548 + 20,549 + … + 20,571
Aliquot sequence: 493,428 746,860 840,740 944,092 752,988 1,021,092 1,361,484 2,143,836 3,831,588 5,853,906 6,829,596 11,282,652 18,599,508 28,416,006 33,469,194 39,554,646 40,508,778 — unresolved within range

Continued fraction of √n

√493,428 = [702; (2, 3, 1, 87, 36, 87, 1, 3, 2, 1404)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety-three thousand four hundred twenty-eight
Ordinal
493428th
Binary
1111000011101110100
Octal
1703564
Hexadecimal
0x78774
Base64
B4d0
One's complement
4,294,473,867 (32-bit)
Scientific notation
4.93428 × 10⁵
As a duration
493,428 s = 5 days, 17 hours, 3 minutes, 48 seconds
In other bases
ternary (3) 221001212010
quaternary (4) 1320131310
quinary (5) 111242203
senary (6) 14324220
septenary (7) 4123365
nonary (9) 831763
undecimal (11) 3077a1
duodecimal (12) 1b9670
tridecimal (13) 143790
tetradecimal (14) cbb6c
pentadecimal (15) 9b303

As an angle

493,428° = 1,370 × 360° + 228°
228° ≈ 3.979 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υϟγυκηʹ
Chinese
四十九萬三千四百二十八
Chinese (financial)
肆拾玖萬參仟肆佰貳拾捌
In other modern scripts
Eastern Arabic ٤٩٣٤٢٨ Devanagari ४९३४२८ Bengali ৪৯৩৪২৮ Tamil ௪௯௩௪௨௮ Thai ๔๙๓๔๒๘ Tibetan ༤༩༣༤༢༨ Khmer ៤៩៣៤២៨ Lao ໔໙໓໔໒໘ Burmese ၄၉၃၄၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 493428, here are decompositions:

  • 29 + 493399 = 493428
  • 31 + 493397 = 493428
  • 59 + 493369 = 493428
  • 127 + 493301 = 493428
  • 137 + 493291 = 493428
  • 149 + 493279 = 493428
  • 151 + 493277 = 493428
  • 179 + 493249 = 493428

Showing the first eight; more decompositions exist.

Hex color
#078774
RGB(7, 135, 116)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.135.116.

Address
0.7.135.116
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.135.116

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 493,428 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 493428 first appears in π at position 32,550 of the decimal expansion (the 32,550ordinal-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°.