Live analysis

476,040

476,040 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.).

476,040 (four hundred seventy-six thousand forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 3,967. Its proper divisors sum to 952,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74388.

Abundant Number Arithmetic Number Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

476,028 476,029 476,030 476,031 476,032 476,033 476,034 476,035 476,036 476,037 476,038 476,039 476,040 476,041 476,042 476,043 476,044 476,045 476,046 476,047 476,048 476,049 476,050 476,051 476,052

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 19 bits
Reversed: 40,674
Recamán's sequence: a(139,872) = 476,040
Square (n²): 226,614,081,600
Cube (n³): 107,877,367,404,864,000
Divisor count: 32
σ(n) — sum of divisors: 1,428,480
φ(n) — Euler's totient: 126,912
Sum of prime factors: 3,981

Primality

Prime factorization: 2 ³ × 3 × 5 × 3967

Nearest primes: 476,039 (−1) · 476,041 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · 3967 · 7934 · 11901 · 15868 · 19835 · 23802 · 31736 · 39670 · 47604 · 59505 · 79340 · 95208 · 119010 · 158680 · 238020 (half) · 476040

Aliquot sum (sum of proper divisors): 952,440

Factor pairs (a × b = 476,040)

1 × 476040

2 × 238020

3 × 158680

4 × 119010

5 × 95208

6 × 79340

8 × 59505

10 × 47604

12 × 39670

15 × 31736

20 × 23802

24 × 19835

30 × 15868

40 × 11901

60 × 7934

120 × 3967

First multiples

476,040 · 952,080 (double) · 1,428,120 · 1,904,160 · 2,380,200 · 2,856,240 · 3,332,280 · 3,808,320 · 4,284,360 · 4,760,400

Sums & aliquot sequence

As consecutive integers: 158,679 + 158,680 + 158,681 95,206 + 95,207 + 95,208 + 95,209 + 95,210 31,729 + 31,730 + … + 31,743 29,745 + 29,746 + … + 29,760

Aliquot sequence: 476,040 → 952,440 → 1,905,240 → 3,810,840 → 8,665,320 → 17,331,000 → 38,267,400 → 90,295,800 → 229,624,200 → 622,404,600 → 1,354,187,640 → 3,020,885,160 → 6,041,770,680 → 14,413,256,520 — keeps growing

Continued fraction of √n

√476,040 = [689; (1, 21, 1, 1378)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-six thousand forty
Ordinal: 476040th
Binary: 1110100001110001000
Octal: 1641610
Hexadecimal: 0x74388
Base64: B0OI
One's complement: 4,294,491,255 (32-bit)
Scientific notation: 4.7604 × 10⁵
As a duration: 476,040 s = 5 days, 12 hours, 14 minutes

In other bases

ternary (3) 220012000010

quaternary (4) 1310032020

quinary (5) 110213130

senary (6) 14111520

septenary (7) 4021605

nonary (9) 805003

undecimal (11) 2a5724

duodecimal (12) 1ab5a0

tridecimal (13) 1388a6

tetradecimal (14) c56ac

pentadecimal (15) 960b0

As an angle

476,040° = 1,322 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian): ͵υοϛμʹ
Chinese: 四十七萬六千零四十
Chinese (financial): 肆拾柒萬陸仟零肆拾

In other modern scripts

Eastern Arabic ٤٧٦٠٤٠ Devanagari ४७६०४० Bengali ৪৭৬০৪০ Tamil ௪௭௬௦௪௦ Thai ๔๗๖๐๔๐ Tibetan ༤༧༦༠༤༠ Khmer ៤៧៦០៤០ Lao ໔໗໖໐໔໐ Burmese ၄၇၆၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 476040, here are decompositions:

11 + 476029 = 476040
13 + 476027 = 476040
17 + 476023 = 476040
31 + 476009 = 476040
43 + 475997 = 476040
67 + 475973 = 476040
83 + 475957 = 476040
107 + 475933 = 476040

Showing the first eight; more decompositions exist.

Hex color

#074388

RGB(7, 67, 136)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.67.136.

Address: 0.7.67.136
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.67.136

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 476,040 and was likely granted around 1892.

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

Look up US476,040 on Google Patents ↗ Look up on USPTO ↗