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4000256 = 2913601
BaseRepresentation
bin1111010000101000000000
321112020022122
433100220000
52011002011
6221423412
746000361
oct17205000
97466278
104000256
1122924a7
12140ab68
13aa0a20
14761b68
155403db
hex3d0a00

4000256 has 40 divisors (see below), whose sum is σ = 8621844. Its totient is φ = 1843200.

The previous prime is 4000237. The next prime is 4000261. The reversal of 4000256 is 6520004.

It can be written as a sum of positive squares in 2 ways, for example, as 4000000 + 256 = 2000^2 + 16^2 .

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, 6356 + ... + 6956.

Almost surely, 24000256 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 4000256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310922).

4000256 is an abundant number, since it is smaller than the sum of its proper divisors (4621588).

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

4000256 is an equidigital number, since it uses as much as digits as its factorization.

4000256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 4000256 is about 2000.0639989760. The cubic root of 4000256 is about 158.7434915802.

The spelling of 4000256 in words is "four million, two hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 601 832 1202 1664 2404 3328 4808 6656 7813 9616 15626 19232 31252 38464 62504 76928 125008 153856 250016 307712 500032 1000064 2000128 4000256