472,420
472,420 is a composite number, even.
472,420 (four hundred seventy-two thousand four hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 13 × 23 × 79. Its proper divisors sum to 656,540, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73564.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 19
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 24,274
- Square (n²)
- 223,180,656,400
- Cube (n³)
- 105,435,005,696,488,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 1,128,960
- φ(n) — Euler's totient
- 164,736
- Sum of prime factors
- 124
Primality
Prime factorization: 2 2 × 5 × 13 × 23 × 79
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√472,420 = [687; (3, 21, 6, 1, 6, 5, 4, 2, 6, 1, 3, 152, 2, 12, 1, 1, 2, 5, 1, 5, 1, 2, 1, 3, …)]
Representations
- In words
- four hundred seventy-two thousand four hundred twenty
- Ordinal
- 472420th
- Binary
- 1110011010101100100
- Octal
- 1632544
- Hexadecimal
- 0x73564
- Base64
- BzVk
- One's complement
- 4,294,494,875 (32-bit)
- Scientific notation
- 4.7242 × 10⁵
- As a duration
- 472,420 s = 5 days, 11 hours, 13 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵υοβυκʹ
- Chinese
- 四十七萬二千四百二十
- Chinese (financial)
- 肆拾柒萬貳仟肆佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472420, here are decompositions:
- 29 + 472391 = 472420
- 71 + 472349 = 472420
- 89 + 472331 = 472420
- 101 + 472319 = 472420
- 131 + 472289 = 472420
- 167 + 472253 = 472420
- 173 + 472247 = 472420
- 227 + 472193 = 472420
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.53.100.
- Address
- 0.7.53.100
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.53.100
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 472,420 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 472420 first appears in π at position 275,734 of the decimal expansion (the 275,734ordinal-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°.