472,472
472,472 is a composite number, even.
472,472 (four hundred seventy-two thousand four hundred seventy-two) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 7 × 11 × 13 × 59. Its proper divisors sum to 737,128, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73598.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 26
- Digit product
- 3,136
- Digital root
- 8
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 274,274
- Square (n²)
- 223,229,790,784
- Cube (n³)
- 105,469,825,711,298,048
- Divisor count
- 64
- σ(n) — sum of divisors
- 1,209,600
- φ(n) — Euler's totient
- 167,040
- Sum of prime factors
- 96
Primality
Prime factorization: 2 3 × 7 × 11 × 13 × 59
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√472,472 = [687; (2, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 2, 1374)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-two thousand four hundred seventy-two
- Ordinal
- 472472nd
- Binary
- 1110011010110011000
- Octal
- 1632630
- Hexadecimal
- 0x73598
- Base64
- BzWY
- One's complement
- 4,294,494,823 (32-bit)
- Scientific notation
- 4.72472 × 10⁵
- As a duration
- 472,472 s = 5 days, 11 hours, 14 minutes, 32 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵υοβυοβʹ
- Chinese
- 四十七萬二千四百七十二
- Chinese (financial)
- 肆拾柒萬貳仟肆佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472472, here are decompositions:
- 3 + 472469 = 472472
- 61 + 472411 = 472472
- 73 + 472399 = 472472
- 79 + 472393 = 472472
- 103 + 472369 = 472472
- 139 + 472333 = 472472
- 163 + 472309 = 472472
- 199 + 472273 = 472472
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.53.152.
- Address
- 0.7.53.152
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.53.152
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 472,472 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 472472 first appears in π at position 859,096 of the decimal expansion (the 859,096ordinal-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°.