| Base | Representation |
|---|---|
| bin | 11010111000001… |
| … | …110010000100000 |
| 3 | 1011102112102201200 |
| 4 | 122320032100200 |
| 5 | 1410420233310 |
| 6 | 112425201200 |
| 7 | 14113656414 |
| oct | 3270162040 |
| 9 | 1142472650 |
| 10 | 450946080 |
| 11 | 211602512 |
| 12 | 107030200 |
| 13 | 7256b500 |
| 14 | 43c66d44 |
| 15 | 298c89c0 |
| hex | 1ae0e420 |
450946080 has 432 divisors, whose sum is σ = 1780538760. Its totient is φ = 103514112.
The previous prime is 450946079. The next prime is 450946081. The reversal of 450946080 is 80649054.
450946080 is a `hidden beast` number, since 45 + 0 + 9 + 4 + 608 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (450946079) and next prime (450946081).
It can be written as a sum of positive squares in 12 ways, for example, as 14470416 + 436475664 = 3804^2 + 20892^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (450946081) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4137066 + ... + 4137174.
Almost surely, 2450946080 is an apocalyptic number.
450946080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 450946080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890269380).
450946080 is an abundant number, since it is smaller than the sum of its proper divisors (1329592680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
450946080 is a wasteful number, since it uses less digits than its factorization.
450946080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 173 (or 149 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 36.
The square root of 450946080 is about 21235.4910468301. The cubic root of 450946080 is about 766.8460861324.
The spelling of 450946080 in words is "four hundred fifty million, nine hundred forty-six thousand, eighty".
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