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528,401

528,401 is a prime, odd.

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.).

528,401 (five hundred twenty-eight thousand four hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x81011.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
104,825
Square (n²)
279,207,616,801
Cube (n³)
147,533,583,925,265,201
Divisor count
2
σ(n) — sum of divisors
528,402
φ(n) — Euler's totient
528,400

Primality

528,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 528401
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 528,401)
1 × 528401
First multiples
528,401 · 1,056,802 (double) · 1,585,203 · 2,113,604 · 2,642,005 · 3,170,406 · 3,698,807 · 4,227,208 · 4,755,609 · 5,284,010

Sums & aliquot sequence

As a sum of two squares: 65² + 724²
As consecutive integers: 264,200 + 264,201

Continued fraction of √n

√528,401 = [726; (1, 10, 2, 1, 3, 1, 2, 1, 1, 13, 2, 2, 12, 1, 14, 2, 1, 1, 1, 4, 1, 1, 4, 1, …)]

Representations

In words
five hundred twenty-eight thousand four hundred one
Ordinal
528401st
Binary
10000001000000010001
Octal
2010021
Hexadecimal
0x81011
Base64
CBAR
One's complement
4,294,438,894 (32-bit)
Scientific notation
5.28401 × 10⁵
As a duration
528,401 s = 6 days, 2 hours, 46 minutes, 41 seconds
In other bases
ternary (3) 222211211102
quaternary (4) 2001000101
quinary (5) 113402101
senary (6) 15154145
septenary (7) 4330346
nonary (9) 884742
undecimal (11) 330aa5
duodecimal (12) 215955
tridecimal (13) 156683
tetradecimal (14) da7cd
pentadecimal (15) a686b

As an angle

528,401° = 1,467 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵φκηυαʹ
Chinese
五十二萬八千四百零一
Chinese (financial)
伍拾貳萬捌仟肆佰零壹
In other modern scripts
Eastern Arabic ٥٢٨٤٠١ Devanagari ५२८४०१ Bengali ৫২৮৪০১ Tamil ௫௨௮௪௦௧ Thai ๕๒๘๔๐๑ Tibetan ༥༢༨༤༠༡ Khmer ៥២៨៤០១ Lao ໕໒໘໔໐໑ Burmese ၅၂၈၄၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 528403.

Hex color
#081011
RGB(8, 16, 17)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.16.17.

Address
0.8.16.17
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.16.17

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 528,401 and was likely granted around 1894.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.