Live analysis

472,400

472,400 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.).

472,400 (four hundred seventy-two thousand four hundred) is an even 6-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 5² × 1,181. Its proper divisors sum to 663,502, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73550.

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

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

472,388 472,389 472,390 472,391 472,392 472,393 472,394 472,395 472,396 472,397 472,398 472,399 472,400 472,401 472,402 472,403 472,404 472,405 472,406 472,407 472,408 472,409 472,410 472,411 472,412

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 19 bits
Reversed: 4,274
Recamán's sequence: a(137,288) = 472,400
Square (n²): 223,161,760,000
Cube (n³): 105,421,615,424,000,000
Divisor count: 30
σ(n) — sum of divisors: 1,135,902
φ(n) — Euler's totient: 188,800
Sum of prime factors: 1,199

Primality

Prime factorization: 2 ⁴ × 5 ² × 1181

Nearest primes: 472,399 (−1) · 472,411 (+11)

Divisors & multiples

All divisors (30)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 40 · 50 · 80 · 100 · 200 · 400 · 1181 · 2362 · 4724 · 5905 · 9448 · 11810 · 18896 · 23620 · 29525 · 47240 · 59050 · 94480 · 118100 · 236200 (half) · 472400

Aliquot sum (sum of proper divisors): 663,502

Factor pairs (a × b = 472,400)

1 × 472400

2 × 236200

4 × 118100

5 × 94480

8 × 59050

10 × 47240

16 × 29525

20 × 23620

25 × 18896

40 × 11810

50 × 9448

80 × 5905

100 × 4724

200 × 2362

400 × 1181

First multiples

472,400 · 944,800 (double) · 1,417,200 · 1,889,600 · 2,362,000 · 2,834,400 · 3,306,800 · 3,779,200 · 4,251,600 · 4,724,000

Sums & aliquot sequence

As a sum of two squares: 100² + 680² = 328² + 604² = 484² + 488²

As consecutive integers: 94,478 + 94,479 + 94,480 + 94,481 + 94,482 18,884 + 18,885 + … + 18,908 14,747 + 14,748 + … + 14,778 2,873 + 2,874 + … + 3,032

Aliquot sequence: 472,400 → 663,502 → 489,650 → 551,950 → 697,970 → 883,150 → 857,810 → 686,266 → 490,214 → 245,110 → 201,866 → 144,214 → 103,034 → 51,520 → 94,784 → 93,430 → 74,762 — unresolved within range

Continued fraction of √n

√472,400 = [687; (3, 5, 3, 3, 21, 5, 1, 1, 1, 10, 1, 2, 2, 21, 19, 3, 5, 2, 85, 2, 5, 3, 19, 21, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-two thousand four hundred
Ordinal: 472400th
Binary: 1110011010101010000
Octal: 1632520
Hexadecimal: 0x73550
Base64: BzVQ
One's complement: 4,294,494,895 (32-bit)
Scientific notation: 4.724 × 10⁵
As a duration: 472,400 s = 5 days, 11 hours, 13 minutes, 20 seconds

In other bases

ternary (3) 220000000022

quaternary (4) 1303111100

quinary (5) 110104100

senary (6) 14043012

septenary (7) 4005155

nonary (9) 800008

undecimal (11) 2a2a15

duodecimal (12) 1a9468

tridecimal (13) 137036

tetradecimal (14) c422c

pentadecimal (15) 94e85

Palindromic in base 3, base 9

As an angle

472,400° = 1,312 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢
Greek (Milesian): ͵υοβυʹ
Chinese: 四十七萬二千四百
Chinese (financial): 肆拾柒萬貳仟肆佰

In other modern scripts

Eastern Arabic ٤٧٢٤٠٠ Devanagari ४७२४०० Bengali ৪৭২৪০০ Tamil ௪௭௨௪௦௦ Thai ๔๗๒๔๐๐ Tibetan ༤༧༢༤༠༠ Khmer ៤៧២៤០០ Lao ໔໗໒໔໐໐ Burmese ၄၇၂၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472400, here are decompositions:

7 + 472393 = 472400
31 + 472369 = 472400
67 + 472333 = 472400
127 + 472273 = 472400
139 + 472261 = 472400
151 + 472249 = 472400
211 + 472189 = 472400
241 + 472159 = 472400

Showing the first eight; more decompositions exist.

Hex color

#073550

RGB(7, 53, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.53.80.

Address: 0.7.53.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.53.80

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 472,400 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 US472,400 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 472400 first appears in π at position 258,785 of the decimal expansion (the 258,785ordinal-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 472400 on Pi Search ↗