477,048
477,048 is a composite number, even.
477,048 (four hundred seventy-seven thousand forty-eight) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 11 × 13 × 139. Its proper divisors sum to 934,152, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74778.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 30
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 840,774
- Square (n²)
- 227,574,794,304
- Cube (n³)
- 108,564,100,473,134,592
- Divisor count
- 64
- σ(n) — sum of divisors
- 1,411,200
- φ(n) — Euler's totient
- 132,480
- Sum of prime factors
- 172
Primality
Prime factorization: 2 3 × 3 × 11 × 13 × 139
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√477,048 = [690; (1, 2, 5, 4, 4, 2, 2, 1, 34, 1, 2, 2, 4, 4, 5, 2, 1, 1380)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-seven thousand forty-eight
- Ordinal
- 477048th
- Binary
- 1110100011101111000
- Octal
- 1643570
- Hexadecimal
- 0x74778
- Base64
- B0d4
- One's complement
- 4,294,490,247 (32-bit)
- Scientific notation
- 4.77048 × 10⁵
- As a duration
- 477,048 s = 5 days, 12 hours, 30 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υοζμηʹ
- Chinese
- 四十七萬七千零四十八
- Chinese (financial)
- 肆拾柒萬柒仟零肆拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 477048, here are decompositions:
- 17 + 477031 = 477048
- 29 + 477019 = 477048
- 31 + 477017 = 477048
- 37 + 477011 = 477048
- 59 + 476989 = 477048
- 67 + 476981 = 477048
- 71 + 476977 = 477048
- 127 + 476921 = 477048
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.71.120.
- Address
- 0.7.71.120
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.71.120
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 477,048 and was likely granted around 1892.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.