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855966349 = 72291673607
BaseRepresentation
bin110011000001010…
…000001010001101
32012122122121002101
4303001100022031
53223111410344
6220534155101
730132410500
oct6301201215
92178577071
10855966349
113aa197207
121ba7b2a91
13108449b84
1481977137
155022e9d4
hex3305028d

855966349 has 24 divisors (see below), whose sum is σ = 1036506240. Its totient is φ = 703948896.

The previous prime is 855966347. The next prime is 855966373. The reversal of 855966349 is 943669558.

It is not a de Polignac number, because 855966349 - 21 = 855966347 is a prime.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 855966349.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (855966341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235504 + ... + 239110.

It is an arithmetic number, because the mean of its divisors is an integer number (43187760).

Almost surely, 2855966349 is an apocalyptic number.

It is an amenable number.

855966349 is a deficient number, since it is larger than the sum of its proper divisors (180539891).

855966349 is a wasteful number, since it uses less digits than its factorization.

855966349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3817 (or 3810 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 55.

The square root of 855966349 is about 29256.9025872528. The cubic root of 855966349 is about 949.4794374267.

The spelling of 855966349 in words is "eight hundred fifty-five million, nine hundred sixty-six thousand, three hundred forty-nine".

Divisors: 1 7 29 49 167 203 1169 1421 3607 4843 8183 25249 33901 104603 176743 237307 602369 732221 4216583 5125547 17468701 29516081 122280907 855966349