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849066912 = 253223312653
BaseRepresentation
bin110010100110111…
…011101110100000
32012011200001211200
4302212323232200
53214330120122
6220130241200
730016643511
oct6246735640
92164601750
10849066912
113a63045a1
121b8426200
13106ba2675
1480a9ca08
154e81a5ac
hex329bbba0

849066912 has 72 divisors (see below), whose sum is σ = 2425088484. Its totient is φ = 281785344.

The previous prime is 849066893. The next prime is 849066917. The reversal of 849066912 is 219660948.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 639280656 + 209786256 = 25284^2 + 14484^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×8490669123 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (849066917) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60778 + ... + 73430.

Almost surely, 2849066912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 849066912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212544242).

849066912 is an abundant number, since it is smaller than the sum of its proper divisors (1576021572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

849066912 is a wasteful number, since it uses less digits than its factorization.

849066912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12902 (or 12891 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 849066912 is about 29138.7527529920. The cubic root of 849066912 is about 946.9214888523.

The spelling of 849066912 in words is "eight hundred forty-nine million, sixty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 233 288 466 699 932 1398 1864 2097 2796 3728 4194 5592 7456 8388 11184 12653 16776 22368 25306 33552 37959 50612 67104 75918 101224 113877 151836 202448 227754 303672 404896 455508 607344 911016 1214688 1822032 2948149 3644064 5896298 8844447 11792596 17688894 23585192 26533341 35377788 47170384 53066682 70755576 94340768 106133364 141511152 212266728 283022304 424533456 849066912