Live analysis

472,040

472,040 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.).

472,040 (four hundred seventy-two thousand forty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 11,801. Its proper divisors sum to 590,140, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x733E8.

Abundant Number Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

472,028 472,029 472,030 472,031 472,032 472,033 472,034 472,035 472,036 472,037 472,038 472,039 472,040 472,041 472,042 472,043 472,044 472,045 472,046 472,047 472,048 472,049 472,050 472,051 472,052

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 19 bits
Reversed: 40,274
Square (n²): 222,821,761,600
Cube (n³): 105,180,784,345,664,000
Divisor count: 16
σ(n) — sum of divisors: 1,062,180
φ(n) — Euler's totient: 188,800
Sum of prime factors: 11,812

Primality

Prime factorization: 2 ³ × 5 × 11801

Nearest primes: 472,027 (−13) · 472,051 (+11)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 11801 · 23602 · 47204 · 59005 · 94408 · 118010 · 236020 (half) · 472040

Aliquot sum (sum of proper divisors): 590,140

Factor pairs (a × b = 472,040)

1 × 472040

2 × 236020

4 × 118010

5 × 94408

8 × 59005

10 × 47204

20 × 23602

40 × 11801

First multiples

472,040 · 944,080 (double) · 1,416,120 · 1,888,160 · 2,360,200 · 2,832,240 · 3,304,280 · 3,776,320 · 4,248,360 · 4,720,400

Sums & aliquot sequence

As a sum of two squares: 38² + 686² = 442² + 526²

As consecutive integers: 94,406 + 94,407 + 94,408 + 94,409 + 94,410 29,495 + 29,496 + … + 29,510 5,861 + 5,862 + … + 5,940

Aliquot sequence: 472,040 → 590,140 → 715,220 → 923,788 → 704,244 → 939,020 → 1,102,180 → 1,212,440 → 1,677,640 → 2,097,140 → 2,644,492 → 2,005,188 → 2,673,612 → 4,380,708 → 5,972,572 → 4,702,148 → 4,274,764 — unresolved within range

Continued fraction of √n

√472,040 = [687; (19, 2, 1, 5, 34, 5, 1, 2, 19, 1374)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-two thousand forty
Ordinal: 472040th
Binary: 1110011001111101000
Octal: 1631750
Hexadecimal: 0x733E8
Base64: BzPo
One's complement: 4,294,495,255 (32-bit)
Scientific notation: 4.7204 × 10⁵
As a duration: 472,040 s = 5 days, 11 hours, 7 minutes, 20 seconds

In other bases

ternary (3) 212222111222

quaternary (4) 1303033220

quinary (5) 110101130

senary (6) 14041212

septenary (7) 4004132

nonary (9) 788458

undecimal (11) 2a2718

duodecimal (12) 1a9208

tridecimal (13) 136b1a

tetradecimal (14) c4052

pentadecimal (15) 94ce5

As an angle

472,040° = 1,311 × 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 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian): ͵υοβμʹ
Chinese: 四十七萬二千零四十
Chinese (financial): 肆拾柒萬貳仟零肆拾

In other modern scripts

Eastern Arabic ٤٧٢٠٤٠ Devanagari ४७२०४० Bengali ৪৭২০৪০ Tamil ௪௭௨௦௪௦ Thai ๔๗๒๐๔๐ Tibetan ༤༧༢༠༤༠ Khmer ៤៧២០៤០ Lao ໔໗໒໐໔໐ Burmese ၄၇၂၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472040, here are decompositions:

13 + 472027 = 472040
43 + 471997 = 472040
97 + 471943 = 472040
109 + 471931 = 472040
139 + 471901 = 472040
193 + 471847 = 472040
199 + 471841 = 472040
223 + 471817 = 472040

Showing the first eight; more decompositions exist.

Hex color

#0733E8

RGB(7, 51, 232)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.51.232.

Address: 0.7.51.232
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.51.232

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 472,040 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 US472,040 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 472040 first appears in π at position 698,946 of the decimal expansion (the 698,946ordinal-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 472040 on Pi Search ↗