Base | Representation |
---|---|
bin | 111100001010000… |
… | …100111000001110 |
3 | 2121100010110011200 |
4 | 330022010320032 |
5 | 4031333240012 |
6 | 244052130330 |
7 | 34003455624 |
oct | 7412047016 |
9 | 2540113150 |
10 | 1009274382 |
11 | 478788866 |
12 | 2420069a6 |
13 | 13113669c |
14 | 98083514 |
15 | 5d9143dc |
hex | 3c284e0e |
1009274382 has 48 divisors (see below), whose sum is σ = 2266630080. Its totient is φ = 324305856.
The previous prime is 1009274351. The next prime is 1009274423. The reversal of 1009274382 is 2834729001.
1009274382 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 274 + 382 = 666.
It is a super-2 number, since 2×10092743822 = 2037269556322963848, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65643 + ... + 79545.
It is an arithmetic number, because the mean of its divisors is an integer number (47221460).
Almost surely, 21009274382 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1009274382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133315040).
1009274382 is an abundant number, since it is smaller than the sum of its proper divisors (1257355698).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1009274382 is a wasteful number, since it uses less digits than its factorization.
1009274382 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14057 (or 14054 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 36.
The square root of 1009274382 is about 31769.0790234782. The cubic root of 1009274382 is about 1003.0819524777.
The spelling of 1009274382 in words is "one billion, nine million, two hundred seventy-four thousand, three hundred eighty-two".
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