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56128768 = 28233941
BaseRepresentation
bin1101011000011…
…1010100000000
310220121122012021
43112013110000
5103332110033
65323011224
71251041503
oct326072400
9126548167
1056128768
1129757413
1216969b14
13b822bb7
14765113a
154ddab2d
hex3587500

56128768 has 36 divisors (see below), whose sum is σ = 112638708. Its totient is φ = 27914240.

The previous prime is 56128757. The next prime is 56128777. The reversal of 56128768 is 86782165.

It can be written as a sum of positive squares in 2 ways, for example, as 22581504 + 33547264 = 4752^2 + 5792^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59178 + ... + 60118.

It is an arithmetic number, because the mean of its divisors is an integer number (3128853).

Almost surely, 256128768 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 56128768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56319354).

56128768 is an abundant number, since it is smaller than the sum of its proper divisors (56509940).

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

56128768 is an equidigital number, since it uses as much as digits as its factorization.

56128768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1176 counting only the distinct ones).

The product of its digits is 161280, while the sum is 43.

The square root of 56128768 is about 7491.9135072423. The cubic root of 56128768 is about 382.8792553183.

The spelling of 56128768 in words is "fifty-six million, one hundred twenty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 233 256 466 932 941 1864 1882 3728 3764 7456 7528 14912 15056 29824 30112 59648 60224 120448 219253 240896 438506 877012 1754024 3508048 7016096 14032192 28064384 56128768