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4321728 = 26334161
BaseRepresentation
bin10000011111000111000000
322010120022000
4100133013000
52101243403
6232344000
751506535
oct20370700
98116260
104321728
112491a84
121545000
13b84148
14806d8c
155a57a3
hex41f1c0

4321728 has 112 divisors (see below), whose sum is σ = 13228320. Its totient is φ = 1382400.

The previous prime is 4321717. The next prime is 4321729. The reversal of 4321728 is 8271234.

4321728 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4321729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70818 + ... + 70878.

It is an arithmetic number, because the mean of its divisors is an integer number (118110).

Almost surely, 24321728 is an apocalyptic number.

4321728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4321728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6614160).

4321728 is an abundant number, since it is smaller than the sum of its proper divisors (8906592).

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

4321728 is a wasteful number, since it uses less digits than its factorization.

4321728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 107 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 4321728 is about 2078.8766197156. The cubic root of 4321728 is about 162.8867694419.

It can be divided in two parts, 432 and 1728, that multiplied together give a square (746496 = 8642).

The spelling of 4321728 in words is "four million, three hundred twenty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 61 64 72 82 96 108 122 123 144 164 183 192 216 244 246 288 328 366 369 432 488 492 549 576 656 732 738 864 976 984 1098 1107 1312 1464 1476 1647 1728 1952 1968 2196 2214 2501 2624 2928 2952 3294 3904 3936 4392 4428 5002 5856 5904 6588 7503 7872 8784 8856 10004 11712 11808 13176 15006 17568 17712 20008 22509 23616 26352 30012 35136 35424 40016 45018 52704 60024 67527 70848 80032 90036 105408 120048 135054 160064 180072 240096 270108 360144 480192 540216 720288 1080432 1440576 2160864 4321728