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4227328 = 2872337
BaseRepresentation
bin10000001000000100000000
321221202210201
4100020010000
52040233303
6230334544
750634400
oct20100400
97852721
104227328
112428066
1214ba454
13b501a1
147c0800
1558781d
hex408100

4227328 has 54 divisors (see below), whose sum is σ = 9844926. Its totient is φ = 1806336.

The previous prime is 4227323. The next prime is 4227337. The reversal of 4227328 is 8237224.

It can be written as a sum of positive squares in only one way, i.e., 3211264 + 1016064 = 1792^2 + 1008^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 411 + 25 + 27 + 7 + 34 + 215 + 8 .

It is a junction number, because it is equal to n+sod(n) for n = 4227296 and 4227305.

It is not an unprimeable number, because it can be changed into a prime (4227323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12376 + ... + 12712.

Almost surely, 24227328 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 4227328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4922463).

4227328 is an abundant number, since it is smaller than the sum of its proper divisors (5617598).

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

4227328 is an equidigital number, since it uses as much as digits as its factorization.

4227328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 346 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 4227328 is about 2056.0466920768. The cubic root of 4227328 is about 161.6920431109.

It can be divided in two parts, 422732 and 8, that added together give a triangular number (422740 = T919).

The spelling of 4227328 in words is "four million, two hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 337 392 448 674 784 896 1348 1568 1792 2359 2696 3136 4718 5392 6272 9436 10784 12544 16513 18872 21568 33026 37744 43136 66052 75488 86272 132104 150976 264208 301952 528416 603904 1056832 2113664 4227328