527,472
527,472 is a composite number, even.
527,472 (five hundred twenty-seven thousand four hundred seventy-two) is an even 6-digit number. It is a composite number with 100 divisors, and factors as 2⁴ × 3⁴ × 11 × 37. Its proper divisors sum to 1,182,984, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x80C70.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 3,920
- Digital root
- 9
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 274,725
- Square (n²)
- 278,226,710,784
- Cube (n³)
- 146,756,799,590,658,048
- Divisor count
- 100
- σ(n) — sum of divisors
- 1,710,456
- φ(n) — Euler's totient
- 155,520
- Sum of prime factors
- 68
Primality
Prime factorization: 2 4 × 3 4 × 11 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√527,472 = [726; (3, 1, 2, 161, 33, 161, 2, 1, 3, 1452)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- five hundred twenty-seven thousand four hundred seventy-two
- Ordinal
- 527472nd
- Binary
- 10000000110001110000
- Octal
- 2006160
- Hexadecimal
- 0x80C70
- Base64
- CAxw
- One's complement
- 4,294,439,823 (32-bit)
- Scientific notation
- 5.27472 × 10⁵
- As a duration
- 527,472 s = 6 days, 2 hours, 31 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵φκζυοβʹ
- Chinese
- 五十二萬七千四百七十二
- Chinese (financial)
- 伍拾貳萬柒仟肆佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 527472, here are decompositions:
- 19 + 527453 = 527472
- 31 + 527441 = 527472
- 53 + 527419 = 527472
- 61 + 527411 = 527472
- 73 + 527399 = 527472
- 79 + 527393 = 527472
- 139 + 527333 = 527472
- 181 + 527291 = 527472
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.8.12.112.
- Address
- 0.8.12.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.8.12.112
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 527,472 and was likely granted around 1894.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 527472 first appears in π at position 410,196 of the decimal expansion (the 410,196ordinal-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°.