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4267328 = 261323223
BaseRepresentation
bin10000010001110101000000
322000210200012
4100101311000
52043023303
6231244052
751162122
oct20216500
98023605
104267328
11245511a
121519628
13b65460
147d1212
155945d8
hex411d40

4267328 has 56 divisors (see below), whose sum is σ = 9558528. Its totient is φ = 1875456.

The previous prime is 4267303. The next prime is 4267337. The reversal of 4267328 is 8237624.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a d-powerful number, because it can be written as 411 + 27 + 66 + 75 + 36 + 213 + 83 .

It is a junction number, because it is equal to n+sod(n) for n = 4267294 and 4267303.

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 7 ways as a sum of consecutive naturals, for example, 19025 + ... + 19247.

It is an arithmetic number, because the mean of its divisors is an integer number (170688).

Almost surely, 24267328 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 4267328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779264).

4267328 is an abundant number, since it is smaller than the sum of its proper divisors (5291200).

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

4267328 is a wasteful number, since it uses less digits than its factorization.

4267328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 261 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 4267328 is about 2065.7511950862. The cubic root of 4267328 is about 162.2004327051.

The spelling of 4267328 in words is "four million, two hundred sixty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 184 208 223 299 368 416 446 598 736 832 892 1196 1472 1784 2392 2899 3568 4784 5129 5798 7136 9568 10258 11596 14272 19136 20516 23192 41032 46384 66677 82064 92768 133354 164128 185536 266708 328256 533416 1066832 2133664 4267328