Search a number
-
+
855816768 = 26321485793
BaseRepresentation
bin110011000000101…
…011101001000000
32012122100222220100
4303000223221000
53223042114033
6220531042400
730131215422
oct6300535100
92178328810
10855816768
113aa0a4894
121ba740400
131083c6a71
1481938812
1550200513
hex3302ba40

855816768 has 42 divisors (see below), whose sum is σ = 2453045894. Its totient is φ = 285272064.

The previous prime is 855816761. The next prime is 855816769. The reversal of 855816768 is 867618558.

855816768 is a `hidden beast` number, since 8 + 558 + 16 + 76 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 784448064 + 71368704 = 28008^2 + 8448^2 .

It is a super-3 number, since 3×8558167683 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (855816761) 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 5 ways as a sum of consecutive naturals, for example, 742321 + ... + 743472.

Almost surely, 2855816768 is an apocalyptic number.

It is an amenable number.

855816768 is an abundant number, since it is smaller than the sum of its proper divisors (1597229126).

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

855816768 is a wasteful number, since it uses less digits than its factorization.

855816768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485811 (or 1485798 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

The square root of 855816768 is about 29254.3461386509. The cubic root of 855816768 is about 949.4241267019.

The spelling of 855816768 in words is "eight hundred fifty-five million, eight hundred sixteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1485793 2971586 4457379 5943172 8914758 11886344 13372137 17829516 23772688 26744274 35659032 47545376 53488548 71318064 95090752 106977096 142636128 213954192 285272256 427908384 855816768