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855395136 = 263229411249
BaseRepresentation
bin110010111111000…
…100101101000000
32012121120120112100
4302333010231000
53222440121021
6220514030400
730124511241
oct6277045500
92177516470
10855395136
113a9937032
121ba578400
131082a9b8b
1481868cc8
155016a626
hex32fc4b40

855395136 has 168 divisors, whose sum is σ = 2600325000. Its totient is φ = 268369920.

The previous prime is 855395111. The next prime is 855395147. The reversal of 855395136 is 631593558.

855395136 is a `hidden beast` number, since 8 + 553 + 95 + 1 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5089536 + 850305600 = 2256^2 + 29160^2 .

It is a junction number, because it is equal to n+sod(n) for n = 855395091 and 855395100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 684240 + ... + 685488.

It is an arithmetic number, because the mean of its divisors is an integer number (15478125).

Almost surely, 2855395136 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 855395136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300162500).

855395136 is an abundant number, since it is smaller than the sum of its proper divisors (1744929864).

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

855395136 is a wasteful number, since it uses less digits than its factorization.

855395136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1324 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The square root of 855395136 is about 29247.1389369969. The cubic root of 855395136 is about 949.2681846959.

The spelling of 855395136 in words is "eight hundred fifty-five million, three hundred ninety-five thousand, one hundred thirty-six".