Live analysis

490,048

490,048 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.).

490,048 (four hundred ninety thousand forty-eight) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 13 × 19 × 31. Its proper divisors sum to 647,872, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77A40.

Abundant Number Arithmetic Number Odious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

490,036 490,037 490,038 490,039 490,040 490,041 490,042 490,043 490,044 490,045 490,046 490,047 490,048 490,049 490,050 490,051 490,052 490,053 490,054 490,055 490,056 490,057 490,058 490,059 490,060

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 25
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 19 bits
Reversed: 840,094
Square (n²): 240,147,042,304
Cube (n³): 117,683,577,786,990,592
Divisor count: 56
σ(n) — sum of divisors: 1,137,920
φ(n) — Euler's totient: 207,360
Sum of prime factors: 75

Primality

Prime factorization: 2 ⁶ × 13 × 19 × 31

Nearest primes: 490,033 (−15) · 490,057 (+9)

Divisors & multiples

All divisors (56)

1 · 2 · 4 · 8 · 13 · 16 · 19 · 26 · 31 · 32 · 38 · 52 · 62 · 64 · 76 · 104 · 124 · 152 · 208 · 247 · 248 · 304 · 403 · 416 · 494 · 496 · 589 · 608 · 806 · 832 · 988 · 992 · 1178 · 1216 · 1612 · 1976 · 1984 · 2356 · 3224 · 3952 · 4712 · 6448 · 7657 · 7904 · 9424 · 12896 · 15314 · 15808 · 18848 · 25792 · 30628 · 37696 · 61256 · 122512 · 245024 (half) · 490048

Aliquot sum (sum of proper divisors): 647,872

Factor pairs (a × b = 490,048)

1 × 490048

2 × 245024

4 × 122512

8 × 61256

13 × 37696

16 × 30628

19 × 25792

26 × 18848

31 × 15808

32 × 15314

38 × 12896

52 × 9424

62 × 7904

64 × 7657

76 × 6448

104 × 4712

124 × 3952

152 × 3224

208 × 2356

247 × 1984

248 × 1976

304 × 1612

403 × 1216

416 × 1178

494 × 992

496 × 988

589 × 832

608 × 806

First multiples

490,048 · 980,096 (double) · 1,470,144 · 1,960,192 · 2,450,240 · 2,940,288 · 3,430,336 · 3,920,384 · 4,410,432 · 4,900,480

Sums & aliquot sequence

As a sum of two cubes: 56³ + 68³

As consecutive integers: 37,690 + 37,691 + … + 37,702 25,783 + 25,784 + … + 25,801 15,793 + 15,794 + … + 15,823 3,765 + 3,766 + … + 3,892

Aliquot sequence: 490,048 → 647,872 → 668,864 → 849,040 → 1,125,164 → 843,880 → 1,200,740 → 1,320,856 → 1,216,784 → 1,165,132 → 908,828 → 681,628 → 608,612 → 471,964 → 353,980 → 457,460 → 517,780 — unresolved within range

Continued fraction of √n

√490,048 = [700; (29, 5, 1, 38, 17, 1, 2, 3, 2, 1, 2, 16, 1, 10, 1, 1, 1, 2, 4, 4, 10, 1, 3, 1, …)]

Representations

In words: four hundred ninety thousand forty-eight
Ordinal: 490048th
Binary: 1110111101001000000
Octal: 1675100
Hexadecimal: 0x77A40
Base64: B3pA
One's complement: 4,294,477,247 (32-bit)
Scientific notation: 4.90048 × 10⁵
As a duration: 490,048 s = 5 days, 16 hours, 7 minutes, 28 seconds

In other bases

ternary (3) 220220012221

quaternary (4) 1313221000

quinary (5) 111140143

senary (6) 14300424

septenary (7) 4110466

nonary (9) 826187

undecimal (11) 3051a9

duodecimal (12) 1b7714

tridecimal (13) 142090

tetradecimal (14) ca836

pentadecimal (15) 9a2ed

As an angle

490,048° = 1,361 × 360° + 88°

88° ≈ 1.536 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υϟμηʹ
Chinese: 四十九萬零四十八
Chinese (financial): 肆拾玖萬零肆拾捌

In other modern scripts

Eastern Arabic ٤٩٠٠٤٨ Devanagari ४९००४८ Bengali ৪৯০০৪৮ Tamil ௪௯௦௦௪௮ Thai ๔๙๐๐๔๘ Tibetan ༤༩༠༠༤༨ Khmer ៤៩០០៤៨ Lao ໔໙໐໐໔໘ Burmese ၄၉၀၀၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 490048, here are decompositions:

17 + 490031 = 490048
29 + 490019 = 490048
47 + 490001 = 490048
59 + 489989 = 490048
71 + 489977 = 490048
89 + 489959 = 490048
107 + 489941 = 490048
137 + 489911 = 490048

Showing the first eight; more decompositions exist.

Hex color

#077A40

RGB(7, 122, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.122.64.

Address: 0.7.122.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.122.64

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 490,048 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 US490,048 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 490048 first appears in π at position 344,962 of the decimal expansion (the 344,962ordinal-suffix:nd 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.

Look up 490048 on Pi Search ↗