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855808560 = 2432517292411
BaseRepresentation
bin110011000000101…
…001101000110000
32012122100120122100
4303000221220300
53223041333220
6220530540400
730131152455
oct6300515060
92178316570
10855808560
113aa099702
121ba737700
131083c30c9
148193582c
15501ecd90
hex33029a30

855808560 has 240 divisors, whose sum is σ = 3149396640. Its totient is φ = 207298560.

The previous prime is 855808553. The next prime is 855808567. The reversal of 855808560 is 65808558.

855808560 is a `hidden beast` number, since 8 + 5 + 5 + 80 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (855808553) and next prime (855808567).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (855808567) 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 47 ways as a sum of consecutive naturals, for example, 353755 + ... + 356165.

It is an arithmetic number, because the mean of its divisors is an integer number (13122486).

Almost surely, 2855808560 is an apocalyptic number.

855808560 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 855808560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574698320).

855808560 is an abundant number, since it is smaller than the sum of its proper divisors (2293588080).

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

855808560 is a wasteful number, since it uses less digits than its factorization.

855808560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The square root of 855808560 is about 29254.2058514669. The cubic root of 855808560 is about 949.4210914345.

The spelling of 855808560 in words is "eight hundred fifty-five million, eight hundred eight thousand, five hundred sixty".