Live analysis

479,040

479,040 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.).

479,040 (four hundred seventy-nine thousand forty) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 5 × 499. Its proper divisors sum to 1,044,960, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74F40.

Abundant Number Gapful Number Harshad / Niven Odious Number Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

479,028 479,029 479,030 479,031 479,032 479,033 479,034 479,035 479,036 479,037 479,038 479,039 479,040 479,041 479,042 479,043 479,044 479,045 479,046 479,047 479,048 479,049 479,050 479,051 479,052

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 19 bits
Reversed: 40,974
Square (n²): 229,479,321,600
Cube (n³): 109,929,774,219,264,000
Divisor count: 56
σ(n) — sum of divisors: 1,524,000
φ(n) — Euler's totient: 127,488
Sum of prime factors: 519

Primality

Prime factorization: 2 ⁶ × 3 × 5 × 499

Nearest primes: 479,029 (−11) · 479,041 (+1)

Divisors & multiples

All divisors (56)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 64 · 80 · 96 · 120 · 160 · 192 · 240 · 320 · 480 · 499 · 960 · 998 · 1497 · 1996 · 2495 · 2994 · 3992 · 4990 · 5988 · 7485 · 7984 · 9980 · 11976 · 14970 · 15968 · 19960 · 23952 · 29940 · 31936 · 39920 · 47904 · 59880 · 79840 · 95808 · 119760 · 159680 · 239520 (half) · 479040

Aliquot sum (sum of proper divisors): 1,044,960

Factor pairs (a × b = 479,040)

1 × 479040

2 × 239520

3 × 159680

4 × 119760

5 × 95808

6 × 79840

8 × 59880

10 × 47904

12 × 39920

15 × 31936

16 × 29940

20 × 23952

24 × 19960

30 × 15968

32 × 14970

40 × 11976

48 × 9980

60 × 7984

64 × 7485

80 × 5988

96 × 4990

120 × 3992

160 × 2994

192 × 2495

240 × 1996

320 × 1497

480 × 998

499 × 960

First multiples

479,040 · 958,080 (double) · 1,437,120 · 1,916,160 · 2,395,200 · 2,874,240 · 3,353,280 · 3,832,320 · 4,311,360 · 4,790,400

Sums & aliquot sequence

As consecutive integers: 159,679 + 159,680 + 159,681 95,806 + 95,807 + 95,808 + 95,809 + 95,810 31,929 + 31,930 + … + 31,943 3,679 + 3,680 + … + 3,806

Aliquot sequence: 479,040 → 1,044,960 → 2,728,992 → 5,786,592 → 11,954,208 → 23,910,432 → 62,963,040 → 167,837,712 → 334,034,928 → 636,753,880 → 1,000,613,960 → 1,250,767,540 → 1,707,075,404 → 1,353,907,444 → 1,054,272,624 → 1,742,429,328 → 2,760,490,800 — unresolved within range

Continued fraction of √n

√479,040 = [692; (7, 1, 6, 2, 1, 2, 5, 1, 1, 1, 1, 1, 2, 3, 1, 2, 1, 4, 1, 2, 19, 7, 92, 7, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-nine thousand forty
Ordinal: 479040th
Binary: 1110100111101000000
Octal: 1647500
Hexadecimal: 0x74F40
Base64: B09A
One's complement: 4,294,488,255 (32-bit)
Scientific notation: 4.7904 × 10⁵
As a duration: 479,040 s = 5 days, 13 hours, 4 minutes

In other bases

ternary (3) 220100010020

quaternary (4) 1310331000

quinary (5) 110312130

senary (6) 14133440

septenary (7) 4033422

nonary (9) 810106

undecimal (11) 2a7a01

duodecimal (12) 1b1280

tridecimal (13) 13a073

tetradecimal (14) c6812

pentadecimal (15) 96e10

As an angle

479,040° = 1,330 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian): ͵υοθμʹ
Chinese: 四十七萬九千零四十
Chinese (financial): 肆拾柒萬玖仟零肆拾

In other modern scripts

Eastern Arabic ٤٧٩٠٤٠ Devanagari ४७९०४० Bengali ৪৭৯০৪০ Tamil ௪௭௯௦௪௦ Thai ๔๗๙๐๔๐ Tibetan ༤༧༩༠༤༠ Khmer ៤៧៩០៤០ Lao ໔໗໙໐໔໐ Burmese ၄၇၉၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 479040, here are decompositions:

11 + 479029 = 479040
13 + 479027 = 479040
17 + 479023 = 479040
41 + 478999 = 479040
73 + 478967 = 479040
97 + 478943 = 479040
103 + 478937 = 479040
109 + 478931 = 479040

Showing the first eight; more decompositions exist.

Hex color

#074F40

RGB(7, 79, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.79.64.

Address: 0.7.79.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.79.64

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 479,040 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 US479,040 on Google Patents ↗ Look up on USPTO ↗