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855880368 = 243717149839
BaseRepresentation
bin110011000000111…
…011001010110000
32012122111020010220
4303000323022300
53223101132433
6220532253040
730131602020
oct6300731260
92178436126
10855880368
113aa138652
121ba771180
131084199b5
1481953a80
15502142b3
hex3303b2b0

855880368 has 80 divisors (see below), whose sum is σ = 2675543040. Its totient is φ = 230151168.

The previous prime is 855880367. The next prime is 855880369. The reversal of 855880368 is 863088558.

It is an interprime number because it is at equal distance from previous prime (855880367) and next prime (855880369).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 855880368.

It is not an unprimeable number, because it can be changed into a prime (855880367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69208 + ... + 80631.

It is an arithmetic number, because the mean of its divisors is an integer number (33444288).

Almost surely, 2855880368 is an apocalyptic number.

It is an amenable number.

855880368 is an abundant number, since it is smaller than the sum of its proper divisors (1819662672).

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

855880368 is a wasteful number, since it uses less digits than its factorization.

855880368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149874 (or 149868 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 51.

The square root of 855880368 is about 29255.4331364278. The cubic root of 855880368 is about 949.4476449287.

The spelling of 855880368 in words is "eight hundred fifty-five million, eight hundred eighty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2856 5712 149839 299678 449517 599356 899034 1048873 1198712 1798068 2097746 2397424 2547263 3146619 3596136 4195492 5094526 6293238 7192272 7641789 8390984 10189052 12586476 15283578 16781968 17830841 20378104 25172952 30567156 35661682 40756208 50345904 53492523 61134312 71323364 106985046 122268624 142646728 213970092 285293456 427940184 855880368