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4445328 = 243372503
BaseRepresentation
bin10000111101010010010000
322100211211210
4100331102100
52114222303
6235140120
752533066
oct20752220
98324753
104445328
112566928
1215a4640
13bc8494
1483a036
155cc203
hex43d490

4445328 has 40 divisors (see below), whose sum is σ = 11798848. Its totient is φ = 1441152.

The previous prime is 4445321. The next prime is 4445333. The reversal of 4445328 is 8235444.

It is an Ulam number.

It is a d-powerful number, because it can be written as 42 + 48 + 411 + 53 + 311 + 213 + 8 .

It is a junction number, because it is equal to n+sod(n) for n = 4445295 and 4445304.

It is not an unprimeable number, because it can be changed into a prime (4445321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 525 + ... + 3027.

Almost surely, 24445328 is an apocalyptic number.

4445328 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 4445328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5899424).

4445328 is an abundant number, since it is smaller than the sum of its proper divisors (7353520).

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

4445328 is a wasteful number, since it uses less digits than its factorization.

4445328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551 (or 2545 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 4445328 is about 2108.3946499648. The cubic root of 4445328 is about 164.4250327437.

It can be divided in two parts, 444 and 5328, that multiplied together give a palindrome (2365632).

The spelling of 4445328 in words is "four million, four hundred forty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 2503 5006 7509 10012 15018 20024 30036 40048 60072 92611 120144 185222 277833 370444 555666 740888 1111332 1481776 2222664 4445328