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474,948

474,948 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.).

474,948 (four hundred seventy-four thousand nine hundred forty-eight) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 79 × 167. Its proper divisors sum to 748,092, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73F44.

Abundant Number Cube-Free Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
32,256
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
849,474
Square (n²)
225,575,602,704
Cube (n³)
107,136,681,353,059,392
Divisor count
36
σ(n) — sum of divisors
1,223,040
φ(n) — Euler's totient
155,376
Sum of prime factors
256

Primality

Prime factorization: 2 2 × 3 2 × 79 × 167

Nearest primes: 474,941 (−7) · 474,949 (+1)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 79 · 158 · 167 · 237 · 316 · 334 · 474 · 501 · 668 · 711 · 948 · 1002 · 1422 · 1503 · 2004 · 2844 · 3006 · 6012 · 13193 · 26386 · 39579 · 52772 · 79158 · 118737 · 158316 · 237474 (half) · 474948
Aliquot sum (sum of proper divisors): 748,092
Factor pairs (a × b = 474,948)
1 × 474948
2 × 237474
3 × 158316
4 × 118737
6 × 79158
9 × 52772
12 × 39579
18 × 26386
36 × 13193
79 × 6012
158 × 3006
167 × 2844
237 × 2004
316 × 1503
334 × 1422
474 × 1002
501 × 948
668 × 711
First multiples
474,948 · 949,896 (double) · 1,424,844 · 1,899,792 · 2,374,740 · 2,849,688 · 3,324,636 · 3,799,584 · 4,274,532 · 4,749,480

Sums & aliquot sequence

As consecutive integers: 158,315 + 158,316 + 158,317 59,365 + 59,366 + … + 59,372 52,768 + 52,769 + … + 52,776 19,778 + 19,779 + … + 19,801
Aliquot sequence: 474,948 748,092 1,054,660 1,160,168 1,015,162 571,790 457,450 515,702 334,966 167,486 119,362 64,634 38,074 19,040 35,392 45,888 76,032 — unresolved within range

Continued fraction of √n

√474,948 = [689; (6, 14, 23, 3, 2, 3, 2, 17, 1, 2, 3, 21, 4, 4, 1, 1, 5, 1, 18, 1, 1, 3, 3, 3, …)]

Representations

In words
four hundred seventy-four thousand nine hundred forty-eight
Ordinal
474948th
Binary
1110011111101000100
Octal
1637504
Hexadecimal
0x73F44
Base64
Bz9E
One's complement
4,294,492,347 (32-bit)
Scientific notation
4.74948 × 10⁵
As a duration
474,948 s = 5 days, 11 hours, 55 minutes, 48 seconds
In other bases
ternary (3) 220010111200
quaternary (4) 1303331010
quinary (5) 110144243
senary (6) 14102500
septenary (7) 4015455
nonary (9) 803450
undecimal (11) 2a4921
duodecimal (12) 1aaa30
tridecimal (13) 138246
tetradecimal (14) c512c
pentadecimal (15) 95ad3

As an angle

474,948° = 1,319 × 360° + 108°
108° ≈ 1.885 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοδϡμηʹ
Chinese
四十七萬四千九百四十八
Chinese (financial)
肆拾柒萬肆仟玖佰肆拾捌
In other modern scripts
Eastern Arabic ٤٧٤٩٤٨ Devanagari ४७४९४८ Bengali ৪৭৪৯৪৮ Tamil ௪௭௪௯௪௮ Thai ๔๗๔๙๔๘ Tibetan ༤༧༤༩༤༨ Khmer ៤៧៤៩៤៨ Lao ໔໗໔໙໔໘ Burmese ၄၇၄၉၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 474948, here are decompositions:

  • 7 + 474941 = 474948
  • 11 + 474937 = 474948
  • 17 + 474931 = 474948
  • 31 + 474917 = 474948
  • 37 + 474911 = 474948
  • 41 + 474907 = 474948
  • 101 + 474847 = 474948
  • 109 + 474839 = 474948

Showing the first eight; more decompositions exist.

Hex color
#073F44
RGB(7, 63, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.63.68.

Address
0.7.63.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.63.68

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 474,948 and was likely granted around 1892.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 474948 first appears in π at position 131,387 of the decimal expansion (the 131,387ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.