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444244020 = 2235114116417
BaseRepresentation
bin11010011110101…
…010000000110100
31010221220221020020
4122132222000310
51402211302040
6112025405140
714003004033
oct3236520064
91127827206
10444244020
11208845120
121049397b0
1371062aac
144300071a
1529002cd0
hex1a7aa034

444244020 has 96 divisors (see below), whose sum is σ = 1390144896. Its totient is φ = 105062400.

The previous prime is 444244001. The next prime is 444244049. The reversal of 444244020 is 20442444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18852 + ... + 35268.

It is an arithmetic number, because the mean of its divisors is an integer number (14480676).

Almost surely, 2444244020 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 444244020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695072448).

444244020 is an abundant number, since it is smaller than the sum of its proper divisors (945900876).

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

444244020 is a wasteful number, since it uses less digits than its factorization.

444244020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16481 (or 16479 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 444244020 is about 21077.0970486925. The cubic root of 444244020 is about 763.0280967628.

Adding to 444244020 its reverse (20442444), we get a palindrome (464686464).

The spelling of 444244020 in words is "four hundred forty-four million, two hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 41 44 55 60 66 82 110 123 132 164 165 205 220 246 330 410 451 492 615 660 820 902 1230 1353 1804 2255 2460 2706 4510 5412 6765 9020 13530 16417 27060 32834 49251 65668 82085 98502 164170 180587 197004 246255 328340 361174 492510 541761 673097 722348 902935 985020 1083522 1346194 1805870 2019291 2167044 2692388 2708805 3365485 3611740 4038582 5417610 6730970 7404067 8077164 10096455 10835220 13461940 14808134 20192910 22212201 29616268 37020335 40385820 44424402 74040670 88848804 111061005 148081340 222122010 444244020