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444422420 = 225131709317
BaseRepresentation
bin11010011111010…
…101100100010100
31010222020222221122
4122133111210110
51402233004140
6112033303112
714004346121
oct3237254424
91128228848
10444422420
11208957162
12104a04a98
13710c6060
1443049748
152903aab5
hex1a7d5914

444422420 has 24 divisors (see below), whose sum is σ = 1005078984. Its totient is φ = 164094336.

The previous prime is 444422389. The next prime is 444422423. The reversal of 444422420 is 24224444.

It can be written as a sum of positive squares in 4 ways, for example, as 21215236 + 423207184 = 4606^2 + 20572^2 .

It is a super-3 number, since 3×4444224203 (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 (26).

It is a self number, because there is not a number n which added to its sum of digits gives 444422420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444422423) 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, 854399 + ... + 854918.

It is an arithmetic number, because the mean of its divisors is an integer number (41878291).

Almost surely, 2444422420 is an apocalyptic number.

It is an amenable number.

444422420 is an abundant number, since it is smaller than the sum of its proper divisors (560656564).

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

444422420 is a wasteful number, since it uses less digits than its factorization.

444422420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709339 (or 1709337 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

The square root of 444422420 is about 21081.3287057529. The cubic root of 444422420 is about 763.1302223130.

Adding to 444422420 its reverse (24224444), we get a palindrome (468646864).

The spelling of 444422420 in words is "four hundred forty-four million, four hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1709317 3418634 6837268 8546585 17093170 22221121 34186340 44442242 88884484 111105605 222211210 444422420