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8055936 = 2735737
BaseRepresentation
bin11110101110110010000000
3120011021200000
4132232302000
54030242221
6444400000
7125321460
oct36566200
916137600
108055936
1146025a9
122846000
131890a35
1410d9ba0
15a91e26
hex7aec80

8055936 has 192 divisors, whose sum is σ = 28217280. Its totient is φ = 2239488.

The previous prime is 8055917. The next prime is 8055937. The reversal of 8055936 is 6395508.

Adding to 8055936 its product of nonzero digits (32400), we get a square (8088336 = 28442).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 8055936.

It is not an unprimeable number, because it can be changed into a prime (8055937) 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 23 ways as a sum of consecutive naturals, for example, 217710 + ... + 217746.

It is an arithmetic number, because the mean of its divisors is an integer number (146965).

Almost surely, 28055936 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 8055936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14108640).

8055936 is an abundant number, since it is smaller than the sum of its proper divisors (20161344).

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

8055936 is an equidigital number, since it uses as much as digits as its factorization.

8055936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 8055936 is about 2838.2980815975. The cubic root of 8055936 is about 200.4650511324.

The spelling of 8055936 in words is "eight million, fifty-five thousand, nine hundred thirty-six".