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528,001

528,001 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.).

528,001 (five hundred twenty-eight thousand one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x80E81.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
100,825
Square (n²)
278,785,056,001
Cube (n³)
147,198,788,353,584,001
Divisor count
2
σ(n) — sum of divisors
528,002
φ(n) — Euler's totient
528,000

Primality

528,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 528001
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 528,001)
1 × 528001
First multiples
528,001 · 1,056,002 (double) · 1,584,003 · 2,112,004 · 2,640,005 · 3,168,006 · 3,696,007 · 4,224,008 · 4,752,009 · 5,280,010

Sums & aliquot sequence

As a sum of two squares: 176² + 705²
As consecutive integers: 264,000 + 264,001

Continued fraction of √n

√528,001 = [726; (1, 1, 1, 3, 19, 1, 10, 3, 5, 1, 2, 1, 2, 1, 2, 4, 1, 11, 3, 2, 1, 2, 1, 1, …)]

Representations

In words
five hundred twenty-eight thousand one
Ordinal
528001st
Binary
10000000111010000001
Octal
2007201
Hexadecimal
0x80E81
Base64
CA6B
One's complement
4,294,439,294 (32-bit)
Scientific notation
5.28001 × 10⁵
As a duration
528,001 s = 6 days, 2 hours, 40 minutes, 1 second
In other bases
ternary (3) 222211021121
quaternary (4) 2000322001
quinary (5) 113344001
senary (6) 15152241
septenary (7) 4326235
nonary (9) 884247
undecimal (11) 330771
duodecimal (12) 215681
tridecimal (13) 156436
tetradecimal (14) da5c5
pentadecimal (15) a66a1

As an angle

528,001° = 1,466 × 360° + 241°
241° ≈ 4.206 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺
Greek (Milesian)
͵φκηαʹ
Chinese
五十二萬八千零一
Chinese (financial)
伍拾貳萬捌仟零壹
In other modern scripts
Eastern Arabic ٥٢٨٠٠١ Devanagari ५२८००१ Bengali ৫২৮০০১ Tamil ௫௨௮௦௦௧ Thai ๕๒๘๐๐๑ Tibetan ༥༢༨༠༠༡ Khmer ៥២៨០០១ Lao ໕໒໘໐໐໑ Burmese ၅၂၈၀၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#080E81
RGB(8, 14, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.14.129.

Address
0.8.14.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.14.129

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 528,001 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.