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444329648 = 24722919543
BaseRepresentation
bin11010011110111…
…110111010110000
31010222002021200122
4122132332322300
51402222022043
6112031305412
714003511500
oct3236767260
91128067618
10444329648
112088a3494
1210497b268
1371092a69
1443023a00
152901d368
hex1a7beeb0

444329648 has 60 divisors (see below), whose sum is σ = 1036027440. Its totient is φ = 183851136.

The previous prime is 444329623. The next prime is 444329653. The reversal of 444329648 is 846923444.

It is a junction number, because it is equal to n+sod(n) for n = 444329599 and 444329608.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12965 + ... + 32507.

It is an arithmetic number, because the mean of its divisors is an integer number (17267124).

Almost surely, 2444329648 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 444329648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518013720).

444329648 is an abundant number, since it is smaller than the sum of its proper divisors (591697792).

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

444329648 is a wasteful number, since it uses less digits than its factorization.

444329648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19594 (or 19581 counting only the distinct ones).

The product of its digits is 663552, while the sum is 44.

The square root of 444329648 is about 21079.1282552197. The cubic root of 444329648 is about 763.0771181486.

The spelling of 444329648 in words is "four hundred forty-four million, three hundred twenty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 392 406 464 784 812 1421 1624 2842 3248 5684 11368 19543 22736 39086 78172 136801 156344 273602 312688 547204 566747 957607 1094408 1133494 1915214 2188816 2266988 3830428 3967229 4533976 7660856 7934458 9067952 15321712 15868916 27770603 31737832 55541206 63475664 111082412 222164824 444329648