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8427328 = 267131447
BaseRepresentation
bin100000001001…
…011101000000
3120212011010021
4200021131000
54124133303
6500343224
7131426320
oct40113500
916764107
108427328
114836638
1229a4b14
131990ab0
141195280
15b16ebd
hex809740

8427328 has 56 divisors (see below), whose sum is σ = 20596352. Its totient is φ = 3331584.

The previous prime is 8427323. The next prime is 8427337. The reversal of 8427328 is 8237248.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 8427293 and 8427302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8427323) 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 7 ways as a sum of consecutive naturals, for example, 5101 + ... + 6547.

It is an arithmetic number, because the mean of its divisors is an integer number (367792).

Almost surely, 28427328 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 8427328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10298176).

8427328 is an abundant number, since it is smaller than the sum of its proper divisors (12169024).

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

8427328 is a wasteful number, since it uses less digits than its factorization.

8427328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1469 counting only the distinct ones).

The product of its digits is 21504, while the sum is 34.

The square root of 8427328 is about 2902.9860488814. The cubic root of 8427328 is about 203.4994778102.

The spelling of 8427328 in words is "eight million, four hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1447 1456 2894 2912 5788 5824 10129 11576 18811 20258 23152 37622 40516 46304 75244 81032 92608 131677 150488 162064 263354 300976 324128 526708 601952 648256 1053416 1203904 2106832 4213664 8427328