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849805056 = 28322331583
BaseRepresentation
bin110010101001101…
…111111100000000
32012020001120101100
4302221233330000
53220022230211
6220154134400
730026136522
oct6251577400
92166046340
10849805056
113a6769131
121b8721400
131070a0639
1480c11a12
154e914156
hex32a6ff00

849805056 has 108 divisors (see below), whose sum is σ = 2462267808. Its totient is φ = 281874432.

The previous prime is 849805049. The next prime is 849805057. The reversal of 849805056 is 650508948.

849805056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849805057) 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, 536041 + ... + 537623.

It is an arithmetic number, because the mean of its divisors is an integer number (22798776).

Almost surely, 2849805056 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 849805056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231133904).

849805056 is an abundant number, since it is smaller than the sum of its proper divisors (1612462752).

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

849805056 is a wasteful number, since it uses less digits than its factorization.

849805056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 849805056 is about 29151.4160204955. The cubic root of 849805056 is about 947.1958142924.

The spelling of 849805056 in words is "eight hundred forty-nine million, eight hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 233 256 288 384 466 576 699 768 932 1152 1398 1583 1864 2097 2304 2796 3166 3728 4194 4749 5592 6332 7456 8388 9498 11184 12664 14247 14912 16776 18996 22368 25328 28494 29824 33552 37992 44736 50656 56988 59648 67104 75984 89472 101312 113976 134208 151968 178944 202624 227952 268416 303936 368839 405248 455904 536832 607872 737678 911808 1106517 1215744 1475356 1823616 2213034 2950712 3319551 3647232 4426068 5901424 6639102 8852136 11802848 13278204 17704272 23605696 26556408 35408544 47211392 53112816 70817088 94422784 106225632 141634176 212451264 283268352 424902528 849805056