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4256001 = 321727817
BaseRepresentation
bin10000001111000100000001
322000020010200
4100033010001
52042143001
6231115413
751114111
oct20170401
98006120
104256001
112447662
121512b69
13b60259
147cb041
15591086
hex40f101

4256001 has 12 divisors (see below), whose sum is σ = 6509412. Its totient is φ = 2670336.

The previous prime is 4255997. The next prime is 4256003. The reversal of 4256001 is 1006524.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2873025 + 1382976 = 1695^2 + 1176^2 .

It is not a de Polignac number, because 4256001 - 22 = 4255997 is a prime.

It is a super-2 number, since 2×42560012 = 36227089024002, which contains 22 as substring.

It is a Curzon number.

4256001 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4256003) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 13756 + ... + 14061.

It is an arithmetic number, because the mean of its divisors is an integer number (542451).

Almost surely, 24256001 is an apocalyptic number.

It is an amenable number.

4256001 is a deficient number, since it is larger than the sum of its proper divisors (2253411).

4256001 is a wasteful number, since it uses less digits than its factorization.

4256001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27840 (or 27837 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4256001 is about 2063.0077556810. The cubic root of 4256001 is about 162.0567930733.

The spelling of 4256001 in words is "four million, two hundred fifty-six thousand, one".

Divisors: 1 3 9 17 51 153 27817 83451 250353 472889 1418667 4256001