Live analysis

472,360

472,360 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.).

472,360 (four hundred seventy-two thousand three hundred sixty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 5 × 7² × 241. Its proper divisors sum to 769,100, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73528.

Abundant Number Gapful Number Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

472,348 472,349 472,350 472,351 472,352 472,353 472,354 472,355 472,356 472,357 472,358 472,359 472,360 472,361 472,362 472,363 472,364 472,365 472,366 472,367 472,368 472,369 472,370 472,371 472,372

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 22
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 19 bits
Reversed: 63,274
Recamán's sequence: a(137,368) = 472,360
Square (n²): 223,123,969,600
Cube (n³): 105,394,838,280,256,000
Divisor count: 48
σ(n) — sum of divisors: 1,241,460
φ(n) — Euler's totient: 161,280
Sum of prime factors: 266

Primality

Prime factorization: 2 ³ × 5 × 7 ² × 241

Nearest primes: 472,349 (−11) · 472,369 (+9)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 20 · 28 · 35 · 40 · 49 · 56 · 70 · 98 · 140 · 196 · 241 · 245 · 280 · 392 · 482 · 490 · 964 · 980 · 1205 · 1687 · 1928 · 1960 · 2410 · 3374 · 4820 · 6748 · 8435 · 9640 · 11809 · 13496 · 16870 · 23618 · 33740 · 47236 · 59045 · 67480 · 94472 · 118090 · 236180 (half) · 472360

Aliquot sum (sum of proper divisors): 769,100

Factor pairs (a × b = 472,360)

1 × 472360

2 × 236180

4 × 118090

5 × 94472

7 × 67480

8 × 59045

10 × 47236

14 × 33740

20 × 23618

28 × 16870

35 × 13496

40 × 11809

49 × 9640

56 × 8435

70 × 6748

98 × 4820

140 × 3374

196 × 2410

241 × 1960

245 × 1928

280 × 1687

392 × 1205

482 × 980

490 × 964

First multiples

472,360 · 944,720 (double) · 1,417,080 · 1,889,440 · 2,361,800 · 2,834,160 · 3,306,520 · 3,778,880 · 4,251,240 · 4,723,600

Sums & aliquot sequence

As a sum of two squares: 42² + 686² = 378² + 574²

As consecutive integers: 94,470 + 94,471 + 94,472 + 94,473 + 94,474 67,477 + 67,478 + … + 67,483 29,515 + 29,516 + … + 29,530 13,479 + 13,480 + … + 13,513

Aliquot sequence: 472,360 → 769,100 → 900,064 → 1,033,784 → 904,576 → 955,904 → 955,060 → 1,209,368 → 1,058,212 → 793,666 → 396,836 → 389,404 → 302,700 → 573,980 → 741,460 → 833,036 → 731,044 — unresolved within range

Continued fraction of √n

√472,360 = [687; (3, 1, 1, 16, 2, 1, 1, 27, 2, 5, 34, 5, 2, 27, 1, 1, 2, 16, 1, 1, 3, 1374)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-two thousand three hundred sixty
Ordinal: 472360th
Binary: 1110011010100101000
Octal: 1632450
Hexadecimal: 0x73528
Base64: BzUo
One's complement: 4,294,494,935 (32-bit)
Scientific notation: 4.7236 × 10⁵
As a duration: 472,360 s = 5 days, 11 hours, 12 minutes, 40 seconds

In other bases

ternary (3) 212222221211

quaternary (4) 1303110220

quinary (5) 110103420

senary (6) 14042504

septenary (7) 4005100

nonary (9) 788854

undecimal (11) 2a2989

duodecimal (12) 1a9434

tridecimal (13) 137005

tetradecimal (14) c4200

pentadecimal (15) 94e5a

As an angle

472,360° = 1,312 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵υοβτξʹ
Chinese: 四十七萬二千三百六十
Chinese (financial): 肆拾柒萬貳仟參佰陸拾

In other modern scripts

Eastern Arabic ٤٧٢٣٦٠ Devanagari ४७२३६० Bengali ৪৭২৩৬০ Tamil ௪௭௨௩௬௦ Thai ๔๗๒๓๖๐ Tibetan ༤༧༢༣༦༠ Khmer ៤៧២៣៦០ Lao ໔໗໒໓໖໐ Burmese ၄၇၂၃၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472360, here are decompositions:

11 + 472349 = 472360
29 + 472331 = 472360
41 + 472319 = 472360
59 + 472301 = 472360
71 + 472289 = 472360
107 + 472253 = 472360
113 + 472247 = 472360
167 + 472193 = 472360

Showing the first eight; more decompositions exist.

Hex color

#073528

RGB(7, 53, 40)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.53.40.

Address: 0.7.53.40
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.53.40

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 472,360 and was likely granted around 1891.

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

Look up US472,360 on Google Patents ↗ Look up on USPTO ↗