477,472
477,472 is a composite number, even.
477,472 (four hundred seventy-seven thousand four hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 43 × 347. Its proper divisors sum to 487,184, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74920.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 31
- Digit product
- 10,976
- Digital root
- 4
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 274,774
- Square (n²)
- 227,979,510,784
- Cube (n³)
- 108,853,832,973,058,048
- Divisor count
- 24
- σ(n) — sum of divisors
- 964,656
- φ(n) — Euler's totient
- 232,512
- Sum of prime factors
- 400
Primality
Prime factorization: 2 5 × 43 × 347
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√477,472 = [690; (1, 152, 1, 1, 4, 16, 1, 5, 4, 2, 1, 1, 4, 1, 8, 3, 49, 28, 5, 2, 4, 2, 1, 10, …)]
Period length 50 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-seven thousand four hundred seventy-two
- Ordinal
- 477472nd
- Binary
- 1110100100100100000
- Octal
- 1644440
- Hexadecimal
- 0x74920
- Base64
- B0kg
- One's complement
- 4,294,489,823 (32-bit)
- Scientific notation
- 4.77472 × 10⁵
- As a duration
- 477,472 s = 5 days, 12 hours, 37 minutes, 52 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵υοζυοβʹ
- Chinese
- 四十七萬七千四百七十二
- Chinese (financial)
- 肆拾柒萬柒仟肆佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 477472, here are decompositions:
- 3 + 477469 = 477472
- 11 + 477461 = 477472
- 89 + 477383 = 477472
- 113 + 477359 = 477472
- 131 + 477341 = 477472
- 179 + 477293 = 477472
- 251 + 477221 = 477472
- 263 + 477209 = 477472
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.73.32.
- Address
- 0.7.73.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.73.32
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 477,472 and was likely granted around 1892.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 477472 first appears in π at position 952,442 of the decimal expansion (the 952,442ordinal-suffix:nd 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°.