Live analysis

472,052

472,052 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.).

472,052 (four hundred seventy-two thousand fifty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 23 × 733. Its proper divisors sum to 514,444, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x733F4.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

472,040 472,041 472,042 472,043 472,044 472,045 472,046 472,047 472,048 472,049 472,050 472,051 472,052 472,053 472,054 472,055 472,056 472,057 472,058 472,059 472,060 472,061 472,062 472,063 472,064

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 19 bits
Reversed: 250,274
Square (n²): 222,833,090,704
Cube (n³): 105,188,806,133,004,608
Divisor count: 24
σ(n) — sum of divisors: 986,496
φ(n) — Euler's totient: 193,248
Sum of prime factors: 767

Primality

Prime factorization: 2 ² × 7 × 23 × 733

Nearest primes: 472,051 (−1) · 472,057 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 7 · 14 · 23 · 28 · 46 · 92 · 161 · 322 · 644 · 733 · 1466 · 2932 · 5131 · 10262 · 16859 · 20524 · 33718 · 67436 · 118013 · 236026 (half) · 472052

Aliquot sum (sum of proper divisors): 514,444

Factor pairs (a × b = 472,052)

1 × 472052

2 × 236026

4 × 118013

7 × 67436

14 × 33718

23 × 20524

28 × 16859

46 × 10262

92 × 5131

161 × 2932

322 × 1466

644 × 733

First multiples

472,052 · 944,104 (double) · 1,416,156 · 1,888,208 · 2,360,260 · 2,832,312 · 3,304,364 · 3,776,416 · 4,248,468 · 4,720,520

Sums & aliquot sequence

As consecutive integers: 67,433 + 67,434 + … + 67,439 59,003 + 59,004 + … + 59,010 20,513 + 20,514 + … + 20,535 8,402 + 8,403 + … + 8,457

Aliquot sequence: 472,052 → 514,444 → 569,716 → 569,772 → 1,297,548 → 2,662,772 → 2,753,548 → 2,884,084 → 3,381,644 → 3,875,956 → 3,876,012 → 7,710,948 → 15,194,844 → 30,501,156 → 58,202,844 → 97,394,724 → 193,593,820 — unresolved within range

Continued fraction of √n

√472,052 = [687; (16, 1, 1, 4, 19, 1, 71, 2, 1, 2, 4, 4, 1, 1, 9, 17, 1, 2, 1, 6, 4, 2, 1, 2, …)]

Representations

In words: four hundred seventy-two thousand fifty-two
Ordinal: 472052nd
Binary: 1110011001111110100
Octal: 1631764
Hexadecimal: 0x733F4
Base64: BzP0
One's complement: 4,294,495,243 (32-bit)
Scientific notation: 4.72052 × 10⁵
As a duration: 472,052 s = 5 days, 11 hours, 7 minutes, 32 seconds

In other bases

ternary (3) 212222112102

quaternary (4) 1303033310

quinary (5) 110101202

senary (6) 14041232

septenary (7) 4004150

nonary (9) 788472

undecimal (11) 2a2729

duodecimal (12) 1a9218

tridecimal (13) 136b29

tetradecimal (14) c4060

pentadecimal (15) 94d02

As an angle

472,052° = 1,311 × 360° + 92°

92° ≈ 1.606 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵υοβνβʹ
Chinese: 四十七萬二千零五十二
Chinese (financial): 肆拾柒萬貳仟零伍拾貳

In other modern scripts

Eastern Arabic ٤٧٢٠٥٢ Devanagari ४७२०५२ Bengali ৪৭২০৫২ Tamil ௪௭௨௦௫௨ Thai ๔๗๒๐๕๒ Tibetan ༤༧༢༠༥༢ Khmer ៤៧២០៥២ Lao ໔໗໒໐໕໒ Burmese ၄၇၂၀၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472052, here are decompositions:

103 + 471949 = 472052
109 + 471943 = 472052
151 + 471901 = 472052
181 + 471871 = 472052
199 + 471853 = 472052
211 + 471841 = 472052
271 + 471781 = 472052
283 + 471769 = 472052

Showing the first eight; more decompositions exist.

Hex color

#0733F4

RGB(7, 51, 244)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.51.244.

Address: 0.7.51.244
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.51.244

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 472,052 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 US472,052 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 472052 first appears in π at position 333,883 of the decimal expansion (the 333,883ordinal-suffix:rd 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 472052 on Pi Search ↗