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855335040 = 27357232767
BaseRepresentation
bin110010111110110…
…110000010000000
32012121110112002120
4302332312002000
53222431210130
6220512444240
730124141110
oct6276660200
92177415076
10855335040
113a98a596a
121ba549680
13108288711
1481851040
1550157910
hex32fb6080

855335040 has 256 divisors, whose sum is σ = 3252510720. Its totient is φ = 186937344.

The previous prime is 855335023. The next prime is 855335069. The reversal of 855335040 is 40533558.

It is a junction number, because it is equal to n+sod(n) for n = 855334992 and 855335010.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 307737 + ... + 310503.

It is an arithmetic number, because the mean of its divisors is an integer number (12705120).

Almost surely, 2855335040 is an apocalyptic number.

855335040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 855335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626255360).

855335040 is an abundant number, since it is smaller than the sum of its proper divisors (2397175680).

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

855335040 is a wasteful number, since it uses less digits than its factorization.

855335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 855335040 is about 29246.1115364077. Note that the first 3 decimals coincide. The cubic root of 855335040 is about 949.2459538170.

Adding to 855335040 its reverse (40533558), we get a palindrome (895868598).

The spelling of 855335040 in words is "eight hundred fifty-five million, three hundred thirty-five thousand, forty".