Live analysis

490,960

490,960 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.).

490,960 (four hundred ninety thousand nine hundred sixty) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 5 × 17 × 19². Its proper divisors sum to 784,628, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77DD0.

Abundant Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

490,948 490,949 490,950 490,951 490,952 490,953 490,954 490,955 490,956 490,957 490,958 490,959 490,960 490,961 490,962 490,963 490,964 490,965 490,966 490,967 490,968 490,969 490,970 490,971 490,972

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 28
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 19 bits
Reversed: 69,094
Square (n²): 241,041,721,600
Cube (n³): 118,341,843,636,736,000
Divisor count: 60
σ(n) — sum of divisors: 1,275,588
φ(n) — Euler's totient: 175,104
Sum of prime factors: 68

Primality

Prime factorization: 2 ⁴ × 5 × 17 × 19 ²

Nearest primes: 490,957 (−3) · 490,967 (+7)

Divisors & multiples

All divisors (60)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 17 · 19 · 20 · 34 · 38 · 40 · 68 · 76 · 80 · 85 · 95 · 136 · 152 · 170 · 190 · 272 · 304 · 323 · 340 · 361 · 380 · 646 · 680 · 722 · 760 · 1292 · 1360 · 1444 · 1520 · 1615 · 1805 · 2584 · 2888 · 3230 · 3610 · 5168 · 5776 · 6137 · 6460 · 7220 · 12274 · 12920 · 14440 · 24548 · 25840 · 28880 · 30685 · 49096 · 61370 · 98192 · 122740 · 245480 (half) · 490960

Aliquot sum (sum of proper divisors): 784,628

Factor pairs (a × b = 490,960)

1 × 490960

2 × 245480

4 × 122740

5 × 98192

8 × 61370

10 × 49096

16 × 30685

17 × 28880

19 × 25840

20 × 24548

34 × 14440

38 × 12920

40 × 12274

68 × 7220

76 × 6460

80 × 6137

85 × 5776

95 × 5168

136 × 3610

152 × 3230

170 × 2888

190 × 2584

272 × 1805

304 × 1615

323 × 1520

340 × 1444

361 × 1360

380 × 1292

646 × 760

680 × 722

First multiples

490,960 · 981,920 (double) · 1,472,880 · 1,963,840 · 2,454,800 · 2,945,760 · 3,436,720 · 3,927,680 · 4,418,640 · 4,909,600

Sums & aliquot sequence

As a sum of two squares: 152² + 684² = 456² + 532²

As consecutive integers: 98,190 + 98,191 + 98,192 + 98,193 + 98,194 28,872 + 28,873 + … + 28,888 25,831 + 25,832 + … + 25,849 15,327 + 15,328 + … + 15,358

Aliquot sequence: 490,960 → 784,628 → 720,652 → 559,788 → 746,412 → 995,244 → 1,344,324 → 1,901,436 → 2,563,668 → 4,512,492 → 6,978,988 → 5,417,004 → 7,263,636 → 9,964,428 → 14,657,652 → 23,343,948 → 36,502,020 — unresolved within range

Continued fraction of √n

√490,960 = [700; (1, 2, 5, 1, 1, 1, 1, 8, 10, 3, 1, 3, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words: four hundred ninety thousand nine hundred sixty
Ordinal: 490960th
Binary: 1110111110111010000
Octal: 1676720
Hexadecimal: 0x77DD0
Base64: B33Q
One's complement: 4,294,476,335 (32-bit)
Scientific notation: 4.9096 × 10⁵
As a duration: 490,960 s = 5 days, 16 hours, 22 minutes, 40 seconds

In other bases

ternary (3) 220221110201

quaternary (4) 1313313100

quinary (5) 111202320

senary (6) 14304544

septenary (7) 4113241

nonary (9) 827421

undecimal (11) 305958

duodecimal (12) 1b8154

tridecimal (13) 142612

tetradecimal (14) cacc8

pentadecimal (15) 9a70a

As an angle

490,960° = 1,363 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵υϟϡξʹ
Chinese: 四十九萬零九百六十
Chinese (financial): 肆拾玖萬零玖佰陸拾

In other modern scripts

Eastern Arabic ٤٩٠٩٦٠ Devanagari ४९०९६० Bengali ৪৯০৯৬০ Tamil ௪௯௦௯௬௦ Thai ๔๙๐๙๖๐ Tibetan ༤༩༠༩༦༠ Khmer ៤៩០៩៦០ Lao ໔໙໐໙໖໐ Burmese ၄၉၀၉၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 490960, here are decompositions:

3 + 490957 = 490960
11 + 490949 = 490960
23 + 490937 = 490960
47 + 490913 = 490960
83 + 490877 = 490960
101 + 490859 = 490960
131 + 490829 = 490960
191 + 490769 = 490960

Showing the first eight; more decompositions exist.

Hex color

#077DD0

RGB(7, 125, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.125.208.

Address: 0.7.125.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.125.208

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 490,960 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 US490,960 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 490960 first appears in π at position 173,224 of the decimal expansion (the 173,224ordinal-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.

Look up 490960 on Pi Search ↗