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849139056 = 243218132579
BaseRepresentation
bin110010100111001…
…101010101110000
32012011210201210200
4302213031111300
53214334422211
6220131555200
730020364033
oct6247152560
92164721720
10849139056
113a6353817
121b845bb00
13106bc945c
1480abb01a
154e831b56
hex329cd570

849139056 has 60 divisors (see below), whose sum is σ = 2389612680. Its totient is φ = 281473920.

The previous prime is 849139043. The next prime is 849139061. The reversal of 849139056 is 650931948.

It is a happy number.

849139056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8491390562 = 1442074272849142272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9775 + ... + 42353.

It is an arithmetic number, because the mean of its divisors is an integer number (39826878).

Almost surely, 2849139056 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 849139056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194806340).

849139056 is an abundant number, since it is smaller than the sum of its proper divisors (1540473624).

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

849139056 is a wasteful number, since it uses less digits than its factorization.

849139056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32774 (or 32765 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 849139056 is about 29139.9906657500. The cubic root of 849139056 is about 946.9483076139.

The spelling of 849139056 in words is "eight hundred forty-nine million, one hundred thirty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 181 362 543 724 1086 1448 1629 2172 2896 3258 4344 6516 8688 13032 26064 32579 65158 97737 130316 195474 260632 293211 390948 521264 586422 781896 1172844 1563792 2345688 4691376 5896799 11793598 17690397 23587196 35380794 47174392 53071191 70761588 94348784 106142382 141523176 212284764 283046352 424569528 849139056