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492,013

492,013 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.).

492,013 (four hundred ninety-two thousand thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x781ED.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
19 bits
Reversed
310,294
Square (n²)
242,076,792,169
Cube (n³)
119,104,928,745,446,197
Divisor count
2
σ(n) — sum of divisors
492,014
φ(n) — Euler's totient
492,012

Primality

492,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 492013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 492,013)
1 × 492013
First multiples
492,013 · 984,026 (double) · 1,476,039 · 1,968,052 · 2,460,065 · 2,952,078 · 3,444,091 · 3,936,104 · 4,428,117 · 4,920,130

Sums & aliquot sequence

As a sum of two squares: 243² + 658²
As consecutive integers: 246,006 + 246,007

Continued fraction of √n

√492,013 = [701; (2, 3, 2, 3, 16, 2, 2, 3, 1, 1, 1, 1, 1, 1, 2, 2, 11, 1, 199, 2, 27, 116, 1, 6, …)]

Representations

In words
four hundred ninety-two thousand thirteen
Ordinal
492013th
Binary
1111000000111101101
Octal
1700755
Hexadecimal
0x781ED
Base64
B4Ht
One's complement
4,294,475,282 (32-bit)
Scientific notation
4.92013 × 10⁵
As a duration
492,013 s = 5 days, 16 hours, 40 minutes, 13 seconds
In other bases
ternary (3) 220222220201
quaternary (4) 1320013231
quinary (5) 111221023
senary (6) 14313501
septenary (7) 4116304
nonary (9) 828821
undecimal (11) 306725
duodecimal (12) 1b8891
tridecimal (13) 142c42
tetradecimal (14) cb43b
pentadecimal (15) 9abad

As an angle

492,013° = 1,366 × 360° + 253°
253° ≈ 4.416 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵υϟβιγʹ
Chinese
四十九萬二千零一十三
Chinese (financial)
肆拾玖萬貳仟零壹拾參
In other modern scripts
Eastern Arabic ٤٩٢٠١٣ Devanagari ४९२०१३ Bengali ৪৯২০১৩ Tamil ௪௯௨௦௧௩ Thai ๔๙๒๐๑๓ Tibetan ༤༩༢༠༡༣ Khmer ៤៩២០១៣ Lao ໔໙໒໐໑໓ Burmese ၄၉၂၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 492017, sexy with 492007.

Hex color
#0781ED
RGB(7, 129, 237)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.129.237.

Address
0.7.129.237
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.129.237

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 492,013 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 492013 first appears in π at position 616,879 of the decimal expansion (the 616,879ordinal-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.