Live analysis

472,920

472,920 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.).

472,920 (four hundred seventy-two thousand nine hundred twenty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 7 × 563. Its proper divisors sum to 1,151,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73758.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

472,908 472,909 472,910 472,911 472,912 472,913 472,914 472,915 472,916 472,917 472,918 472,919 472,920 472,921 472,922 472,923 472,924 472,925 472,926 472,927 472,928 472,929 472,930 472,931 472,932

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Properties

Parity: Even
Digit count: 6
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 19 bits
Reversed: 29,274
Square (n²): 223,653,326,400
Cube (n³): 105,770,131,121,088,000
Divisor count: 64
σ(n) — sum of divisors: 1,624,320
φ(n) — Euler's totient: 107,904
Sum of prime factors: 584

Primality

Prime factorization: 2 ³ × 3 × 5 × 7 × 563

Nearest primes: 472,909 (−11) · 472,921 (+1)

Divisors & multiples

All divisors (64)

1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 20 · 21 · 24 · 28 · 30 · 35 · 40 · 42 · 56 · 60 · 70 · 84 · 105 · 120 · 140 · 168 · 210 · 280 · 420 · 563 · 840 · 1126 · 1689 · 2252 · 2815 · 3378 · 3941 · 4504 · 5630 · 6756 · 7882 · 8445 · 11260 · 11823 · 13512 · 15764 · 16890 · 19705 · 22520 · 23646 · 31528 · 33780 · 39410 · 47292 · 59115 · 67560 · 78820 · 94584 · 118230 · 157640 · 236460 (half) · 472920

Aliquot sum (sum of proper divisors): 1,151,400

Factor pairs (a × b = 472,920)

1 × 472920

2 × 236460

3 × 157640

4 × 118230

5 × 94584

6 × 78820

7 × 67560

8 × 59115

10 × 47292

12 × 39410

14 × 33780

15 × 31528

20 × 23646

21 × 22520

24 × 19705

28 × 16890

30 × 15764

35 × 13512

40 × 11823

42 × 11260

56 × 8445

60 × 7882

70 × 6756

84 × 5630

105 × 4504

120 × 3941

140 × 3378

168 × 2815

210 × 2252

280 × 1689

420 × 1126

563 × 840

First multiples

472,920 · 945,840 (double) · 1,418,760 · 1,891,680 · 2,364,600 · 2,837,520 · 3,310,440 · 3,783,360 · 4,256,280 · 4,729,200

Sums & aliquot sequence

As consecutive integers: 157,639 + 157,640 + 157,641 94,582 + 94,583 + 94,584 + 94,585 + 94,586 67,557 + 67,558 + … + 67,563 31,521 + 31,522 + … + 31,535

Aliquot sequence: 472,920 → 1,151,400 → 2,643,000 → 5,612,520 → 11,225,400 → 24,330,360 → 48,661,080 → 108,556,680 → 219,123,960 → 535,839,240 → 1,071,678,840 → 2,157,240,360 → 5,092,065,240 → 10,184,130,840 — keeps growing

Continued fraction of √n

√472,920 = [687; (1, 2, 4, 11, 4, 2, 1, 1374)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-two thousand nine hundred twenty
Ordinal: 472920th
Binary: 1110011011101011000
Octal: 1633530
Hexadecimal: 0x73758
Base64: BzdY
One's complement: 4,294,494,375 (32-bit)
Scientific notation: 4.7292 × 10⁵
As a duration: 472,920 s = 5 days, 11 hours, 22 minutes

In other bases

ternary (3) 220000201120

quaternary (4) 1303131120

quinary (5) 110113140

senary (6) 14045240

septenary (7) 4006530

nonary (9) 800646

undecimal (11) 2a3348

duodecimal (12) 1a9820

tridecimal (13) 137346

tetradecimal (14) c44c0

pentadecimal (15) 951d0

As an angle

472,920° = 1,313 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵υοβϡκʹ
Chinese: 四十七萬二千九百二十
Chinese (financial): 肆拾柒萬貳仟玖佰貳拾

In other modern scripts

Eastern Arabic ٤٧٢٩٢٠ Devanagari ४७२९२० Bengali ৪৭২৯২০ Tamil ௪௭௨௯௨௦ Thai ๔๗๒๙๒๐ Tibetan ༤༧༢༩༢༠ Khmer ៤៧២៩២០ Lao ໔໗໒໙໒໐ Burmese ၄၇၂၉၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472920, here are decompositions:

11 + 472909 = 472920
13 + 472907 = 472920
37 + 472883 = 472920
61 + 472859 = 472920
73 + 472847 = 472920
83 + 472837 = 472920
89 + 472831 = 472920
103 + 472817 = 472920

Showing the first eight; more decompositions exist.

Hex color

#073758

RGB(7, 55, 88)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.55.88.

Address: 0.7.55.88
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.55.88

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 472,920 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 US472,920 on Google Patents ↗ Look up on USPTO ↗