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4256128 = 2741811
BaseRepresentation
bin10000001111000110000000
322000020022101
4100033012000
52042144003
6231120144
751114352
oct20170600
98006271
104256128
112447768
121513054
13b60326
147cb0d2
1559111d
hex40f180

4256128 has 32 divisors (see below), whose sum is σ = 8696520. Its totient is φ = 2073600.

The previous prime is 4256117. The next prime is 4256141. The reversal of 4256128 is 8216524.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×42561282 = 36229251104768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4256096 and 4256105.

It is a congruent number.

It is an unprimeable 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 in 3 ways as a sum of consecutive naturals, for example, 4843 + ... + 5653.

Almost surely, 24256128 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 4256128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4348260).

4256128 is an abundant number, since it is smaller than the sum of its proper divisors (4440392).

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

4256128 is an equidigital number, since it uses as much as digits as its factorization.

4256128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 854 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 4256128 is about 2063.0385357525. The cubic root of 4256128 is about 162.0584049940.

The spelling of 4256128 in words is "four million, two hundred fifty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 811 1312 1622 2624 3244 5248 6488 12976 25952 33251 51904 66502 103808 133004 266008 532016 1064032 2128064 4256128