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444621492 = 223272269937
BaseRepresentation
bin11010100000000…
…110001010110100
31010222122010000200
4122200012022310
51402310341432
6112041440500
714006135400
oct3240061264
91128563020
10444621492
11208a82787
12104aa0130
1371165853
144309c100
1529079a7c
hex1a8062b4

444621492 has 108 divisors (see below), whose sum is σ = 1313659620. Its totient is φ = 126427392.

The previous prime is 444621491. The next prime is 444621517. The reversal of 444621492 is 294126444.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26255376 + 418366116 = 5124^2 + 20454^2 .

It is a super-2 number, since 2×4446214922 = 395376542296612128, which contains 22 as substring.

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

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 (444621491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 474048 + ... + 474984.

It is an arithmetic number, because the mean of its divisors is an integer number (12163515).

Almost surely, 2444621492 is an apocalyptic number.

444621492 is a gapful number since it is divisible by the number (42) 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 444621492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656829810).

444621492 is an abundant number, since it is smaller than the sum of its proper divisors (869038128).

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

444621492 is a wasteful number, since it uses less digits than its factorization.

444621492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1218 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 444621492 is about 21086.0497011650. The cubic root of 444621492 is about 763.2441493453.

It can be divided in two parts, 44462 and 1492, that added together give a palindrome (45954).

The spelling of 444621492 in words is "four hundred forty-four million, six hundred twenty-one thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 269 294 441 538 588 807 882 937 1076 1614 1764 1874 1883 2421 2811 3228 3748 3766 4842 5622 5649 6559 7532 8433 9684 11244 11298 13118 13181 16866 16947 19677 22596 26236 26362 33732 33894 39354 39543 45913 52724 59031 67788 78708 79086 91826 118062 118629 137739 158172 183652 236124 237258 252053 275478 413217 474516 504106 550956 756159 826434 1008212 1512318 1652868 1764371 2268477 3024636 3528742 4536954 5293113 7057484 9073908 10586226 12350597 15879339 21172452 24701194 31758678 37051791 49402388 63517356 74103582 111155373 148207164 222310746 444621492