472,880
472,880 is a composite number, even.
472,880 (four hundred seventy-two thousand eight hundred eighty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 23 × 257. Its proper divisors sum to 678,832, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73730.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 29
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 88,274
- Square (n²)
- 223,615,494,400
- Cube (n³)
- 105,743,294,991,872,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 1,151,712
- φ(n) — Euler's totient
- 180,224
- Sum of prime factors
- 293
Primality
Prime factorization: 2 4 × 5 × 23 × 257
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√472,880 = [687; (1, 1, 1, 27, 2, 2, 30, 1, 5, 1, 16, 1, 1, 4, 4, 11, 7, 1, 2, 1, 1, 1, 3, 1, …)]
Period length 56 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-two thousand eight hundred eighty
- Ordinal
- 472880th
- Binary
- 1110011011100110000
- Octal
- 1633460
- Hexadecimal
- 0x73730
- Base64
- Bzcw
- One's complement
- 4,294,494,415 (32-bit)
- Scientific notation
- 4.7288 × 10⁵
- As a duration
- 472,880 s = 5 days, 11 hours, 21 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υοβωπʹ
- Chinese
- 四十七萬二千八百八十
- Chinese (financial)
- 肆拾柒萬貳仟捌佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472880, here are decompositions:
- 43 + 472837 = 472880
- 139 + 472741 = 472880
- 193 + 472687 = 472880
- 211 + 472669 = 472880
- 241 + 472639 = 472880
- 283 + 472597 = 472880
- 307 + 472573 = 472880
- 337 + 472543 = 472880
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.55.48.
- Address
- 0.7.55.48
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.55.48
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 472,880 and was likely granted around 1891.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 472880 first appears in π at position 61,181 of the decimal expansion (the 61,181ordinal-suffix:st 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°.