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56071008 = 2533773127
BaseRepresentation
bin1101010111100…
…1001101100000
310220111200222000
43111321031200
5103323233013
65321444000
71250411220
oct325711540
9126450860
1056071008
1129717a84
1216940600
13b802816
147638080
154dc8973
hex3579360

56071008 has 192 divisors, whose sum is σ = 190955520. Its totient is φ = 15676416.

The previous prime is 56071003. The next prime is 56071019. The reversal of 56071008 is 80017065.

56071008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56071003) by changing a digit.

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, 441441 + ... + 441567.

It is an arithmetic number, because the mean of its divisors is an integer number (994560).

Almost surely, 256071008 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 56071008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95477760).

56071008 is an abundant number, since it is smaller than the sum of its proper divisors (134884512).

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

56071008 is a wasteful number, since it uses less digits than its factorization.

56071008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 56071008 is about 7488.0576920854. The cubic root of 56071008 is about 382.7478747040.

The spelling of 56071008 in words is "fifty-six million, seventy-one thousand, eight".