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56128 = 26877
BaseRepresentation
bin1101101101000000
32211222211
431231000
53244003
61111504
7322432
oct155500
984884
1056128
1139196
1228594
131c717
1416652
151196d
hexdb40

56128 has 14 divisors (see below), whose sum is σ = 111506. Its totient is φ = 28032.

The previous prime is 56123. The next prime is 56131. The reversal of 56128 is 82165.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 53824 + 2304 = 232^2 + 48^2 .

It is a nialpdrome in base 16.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 56099 and 56108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56123) by changing a digit.

56128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 375 + ... + 502.

256128 is an apocalyptic number.

It is an amenable number.

56128 is a deficient number, since it is larger than the sum of its proper divisors (55378).

56128 is an equidigital number, since it uses as much as digits as its factorization.

56128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 879 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 56128 is about 236.9134863194. The cubic root of 56128 is about 38.2877509021.

The spelling of 56128 in words is "fifty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 877 1754 3508 7016 14032 28064 56128