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4270728 = 2337112311
BaseRepresentation
bin10000010010101010001000
322000222100010
4100102222020
52043130403
6231311520
751205050
oct20225210
98028303
104270728
112457730
12151b5a0
13b66b77
147d2560
15595603
hex412a88

4270728 has 64 divisors (see below), whose sum is σ = 13317120. Its totient is φ = 1108800.

The previous prime is 4270727. The next prime is 4270741. The reversal of 4270728 is 8270724.

It is a junction number, because it is equal to n+sod(n) for n = 4270695 and 4270704.

It is not an unprimeable number, because it can be changed into a prime (4270727) 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 15 ways as a sum of consecutive naturals, for example, 693 + ... + 3003.

It is an arithmetic number, because the mean of its divisors is an integer number (208080).

Almost surely, 24270728 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 4270728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6658560).

4270728 is an abundant number, since it is smaller than the sum of its proper divisors (9046392).

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

4270728 is a wasteful number, since it uses less digits than its factorization.

4270728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 4270728 is about 2066.5739764160. The cubic root of 4270728 is about 162.2434990823.

The spelling of 4270728 in words is "four million, two hundred seventy thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 2311 4622 6933 9244 13866 16177 18488 25421 27732 32354 48531 50842 55464 64708 76263 97062 101684 129416 152526 177947 194124 203368 305052 355894 388248 533841 610104 711788 1067682 1423576 2135364 4270728