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444422628 = 223213949621
BaseRepresentation
bin11010011111010…
…101100111100100
31010222021000020100
4122133111213210
51402233011003
6112033304100
714004346536
oct3237254744
91128230210
10444422628
11208957331
12104a05030
13710c6190
1443049856
152903aba3
hex1a7d59e4

444422628 has 36 divisors (see below), whose sum is σ = 1209818428. Its totient is φ = 136745280.

The previous prime is 444422623. The next prime is 444422663. The reversal of 444422628 is 826224444.

It is a happy number.

444422628 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 22 + 628 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 107993664 + 336428964 = 10392^2 + 18342^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×4444226283 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 444422592 and 444422601.

It is not an unprimeable number, because it can be changed into a prime (444422621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 474343 + ... + 475278.

Almost surely, 2444422628 is an apocalyptic number.

It is an amenable number.

444422628 is an abundant number, since it is smaller than the sum of its proper divisors (765395800).

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

444422628 is a wasteful number, since it uses less digits than its factorization.

444422628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949644 (or 949639 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The square root of 444422628 is about 21081.3336390277. Note that the first 3 decimals coincide. The cubic root of 444422628 is about 763.1303413672.

It can be divided in two parts, 4444 and 22628, that added together give a palindrome (27072).

The spelling of 444422628 in words is "four hundred forty-four million, four hundred twenty-two thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 949621 1899242 2848863 3798484 5697726 8546589 11395452 12345073 17093178 24690146 34186356 37035219 49380292 74070438 111105657 148140876 222211314 444422628