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528,013

528,013 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.).

528,013 (five hundred twenty-eight thousand thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x80E8D.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
310,825
Square (n²)
278,797,728,169
Cube (n³)
147,208,824,843,698,197
Divisor count
2
σ(n) — sum of divisors
528,014
φ(n) — Euler's totient
528,012

Primality

528,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 528013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 528,013)
1 × 528013
First multiples
528,013 · 1,056,026 (double) · 1,584,039 · 2,112,052 · 2,640,065 · 3,168,078 · 3,696,091 · 4,224,104 · 4,752,117 · 5,280,130

Sums & aliquot sequence

As a sum of two squares: 118² + 717²
As consecutive integers: 264,006 + 264,007

Continued fraction of √n

√528,013 = [726; (1, 1, 1, 4, 2, 7, 2, 24, 6, 8, 1, 1, 6, 3, 2, 2, 362, 1, 10, 3, 1, 2, 1, 1, …)]

Representations

In words
five hundred twenty-eight thousand thirteen
Ordinal
528013th
Binary
10000000111010001101
Octal
2007215
Hexadecimal
0x80E8D
Base64
CA6N
One's complement
4,294,439,282 (32-bit)
Scientific notation
5.28013 × 10⁵
As a duration
528,013 s = 6 days, 2 hours, 40 minutes, 13 seconds
In other bases
ternary (3) 222211022001
quaternary (4) 2000322031
quinary (5) 113344023
senary (6) 15152301
septenary (7) 4326253
nonary (9) 884261
undecimal (11) 330782
duodecimal (12) 215691
tridecimal (13) 156445
tetradecimal (14) da5d3
pentadecimal (15) a66ad

As an angle

528,013° = 1,466 × 360° + 253°
253° ≈ 4.416 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵φκηιγʹ
Chinese
五十二萬八千零一十三
Chinese (financial)
伍拾貳萬捌仟零壹拾參
In other modern scripts
Eastern Arabic ٥٢٨٠١٣ Devanagari ५२८०१३ Bengali ৫২৮০১৩ Tamil ௫௨௮௦௧௩ Thai ๕๒๘๐๑๓ Tibetan ༥༢༨༠༡༣ Khmer ៥២៨០១៣ Lao ໕໒໘໐໑໓ Burmese ၅၂၈၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#080E8D
RGB(8, 14, 141)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.14.141.

Address
0.8.14.141
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.14.141

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 528,013 and was likely granted around 1894.

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

Position in π

The digit sequence 528013 first appears in π at position 5,738 of the decimal expansion (the 5,738ordinal-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

  • 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.