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849950445 = 35172892203
BaseRepresentation
bin110010101010010…
…011011011101101
32012020022221211010
4302222103123231
53220041403240
6220201215433
730030313431
oct6252233355
92166287733
10849950445
113a6858393
121b8791579
13107121876
1480c4c9c1
154e942280
hex32a936ed

849950445 has 48 divisors (see below), whose sum is σ = 1461516480. Its totient is φ = 421656576.

The previous prime is 849950399. The next prime is 849950447. The reversal of 849950445 is 544059948.

It is not a de Polignac number, because 849950445 - 27 = 849950317 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 849950394 and 849950403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849950447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 384714 + ... + 386916.

It is an arithmetic number, because the mean of its divisors is an integer number (30448260).

Almost surely, 2849950445 is an apocalyptic number.

849950445 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

849950445 is a deficient number, since it is larger than the sum of its proper divisors (611566035).

849950445 is a wasteful number, since it uses less digits than its factorization.

849950445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 849950445 is about 29153.9096006007. The cubic root of 849950445 is about 947.2498282487.

The spelling of 849950445 in words is "eight hundred forty-nine million, nine hundred fifty thousand, four hundred forty-five".

Divisors: 1 3 5 15 17 51 85 89 255 267 289 445 867 1335 1445 1513 2203 4335 4539 6609 7565 11015 22695 25721 33045 37451 77163 112353 128605 187255 196067 385815 561765 588201 636667 980335 1910001 2941005 3183335 3333139 9550005 9999417 16665695 49997085 56663363 169990089 283316815 849950445