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4442328 = 2332117179
BaseRepresentation
bin10000111100100011011000
322100200201200
4100330203120
52114123303
6235114200
752521252
oct20744330
98320650
104442328
112564650
1215a2960
13bc6cc7
14838cd2
155cb3a3
hex43c8d8

4442328 has 96 divisors (see below), whose sum is σ = 13478400. Its totient is φ = 1310400.

The previous prime is 4442327. The next prime is 4442357. The reversal of 4442328 is 8232444.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4442327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56193 + ... + 56271.

It is an arithmetic number, because the mean of its divisors is an integer number (140400).

Almost surely, 24442328 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 4442328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739200).

4442328 is an abundant number, since it is smaller than the sum of its proper divisors (9036072).

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

4442328 is a wasteful number, since it uses less digits than its factorization.

4442328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 166 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 4442328 is about 2107.6830881326. The cubic root of 4442328 is about 164.3880361408.

It can be divided in two parts, 444 and 2328, that added together give a palindrome (2772).

The spelling of 4442328 in words is "four million, four hundred forty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 71 72 79 88 99 132 142 158 198 213 237 264 284 316 396 426 474 568 632 639 711 781 792 852 869 948 1278 1422 1562 1704 1738 1896 2343 2556 2607 2844 3124 3476 4686 5112 5214 5609 5688 6248 6952 7029 7821 9372 10428 11218 14058 15642 16827 18744 20856 22436 28116 31284 33654 44872 50481 56232 61699 62568 67308 100962 123398 134616 185097 201924 246796 370194 403848 493592 555291 740388 1110582 1480776 2221164 4442328