Live analysis

472,368

472,368 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.).

472,368 (four hundred seventy-two thousand three hundred sixty-eight) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 13 × 757. Its proper divisors sum to 843,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73530.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

472,356 472,357 472,358 472,359 472,360 472,361 472,362 472,363 472,364 472,365 472,366 472,367 472,368 472,369 472,370 472,371 472,372 472,373 472,374 472,375 472,376 472,377 472,378 472,379 472,380

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 30
Digit product: 8,064
Digital root: 3
Palindrome: No
Bit width: 19 bits
Reversed: 863,274
Recamán's sequence: a(137,352) = 472,368
Square (n²): 223,131,527,424
Cube (n³): 105,400,193,346,220,032
Divisor count: 40
σ(n) — sum of divisors: 1,315,888
φ(n) — Euler's totient: 145,152
Sum of prime factors: 781

Primality

Prime factorization: 2 ⁴ × 3 × 13 × 757

Nearest primes: 472,349 (−19) · 472,369 (+1)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 16 · 24 · 26 · 39 · 48 · 52 · 78 · 104 · 156 · 208 · 312 · 624 · 757 · 1514 · 2271 · 3028 · 4542 · 6056 · 9084 · 9841 · 12112 · 18168 · 19682 · 29523 · 36336 · 39364 · 59046 · 78728 · 118092 · 157456 · 236184 (half) · 472368

Aliquot sum (sum of proper divisors): 843,520

Factor pairs (a × b = 472,368)

1 × 472368

2 × 236184

3 × 157456

4 × 118092

6 × 78728

8 × 59046

12 × 39364

13 × 36336

16 × 29523

24 × 19682

26 × 18168

39 × 12112

48 × 9841

52 × 9084

78 × 6056

104 × 4542

156 × 3028

208 × 2271

312 × 1514

624 × 757

First multiples

472,368 · 944,736 (double) · 1,417,104 · 1,889,472 · 2,361,840 · 2,834,208 · 3,306,576 · 3,778,944 · 4,251,312 · 4,723,680

Sums & aliquot sequence

As consecutive integers: 157,455 + 157,456 + 157,457 36,330 + 36,331 + … + 36,342 14,746 + 14,747 + … + 14,777 12,093 + 12,094 + … + 12,131

Aliquot sequence: 472,368 → 843,520 → 1,180,040 → 1,475,140 → 1,622,696 → 1,552,504 → 1,421,096 → 1,316,044 → 1,019,100 → 2,036,260 → 2,617,676 → 2,298,004 → 1,723,510 → 1,378,826 → 708,058 → 450,638 → 230,602 — unresolved within range

Continued fraction of √n

√472,368 = [687; (3, 2, 3, 1, 113, 1, 3, 2, 3, 1374)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-two thousand three hundred sixty-eight
Ordinal: 472368th
Binary: 1110011010100110000
Octal: 1632460
Hexadecimal: 0x73530
Base64: BzUw
One's complement: 4,294,494,927 (32-bit)
Scientific notation: 4.72368 × 10⁵
As a duration: 472,368 s = 5 days, 11 hours, 12 minutes, 48 seconds

In other bases

ternary (3) 212222222010

quaternary (4) 1303110300

quinary (5) 110103433

senary (6) 14042520

septenary (7) 4005111

nonary (9) 788863

undecimal (11) 2a2996

duodecimal (12) 1a9440

tridecimal (13) 137010

tetradecimal (14) c4208

pentadecimal (15) 94e63

As an angle

472,368° = 1,312 × 360° + 48°

48° ≈ 0.838 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υοβτξηʹ
Chinese: 四十七萬二千三百六十八
Chinese (financial): 肆拾柒萬貳仟參佰陸拾捌

In other modern scripts

Eastern Arabic ٤٧٢٣٦٨ Devanagari ४७२३६८ Bengali ৪৭২৩৬৮ Tamil ௪௭௨௩௬௮ Thai ๔๗๒๓๖๘ Tibetan ༤༧༢༣༦༨ Khmer ៤៧២៣៦៨ Lao ໔໗໒໓໖໘ Burmese ၄၇၂၃၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472368, here are decompositions:

19 + 472349 = 472368
37 + 472331 = 472368
59 + 472309 = 472368
67 + 472301 = 472368
79 + 472289 = 472368
107 + 472261 = 472368
179 + 472189 = 472368
229 + 472139 = 472368

Showing the first eight; more decompositions exist.

Hex color

#073530

RGB(7, 53, 48)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.53.48.

Address: 0.7.53.48
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.53.48

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 472,368 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 US472,368 on Google Patents ↗ Look up on USPTO ↗