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444949568 = 26717371579
BaseRepresentation
bin11010100001010…
…110010001000000
31011000020210001122
4122201112101000
51402401341233
6112052451412
714012003030
oct3241262100
91130223048
10444949568
11209187218
12105019b68
137124bc8b
14431458c0
15290e1d98
hex1a856440

444949568 has 112 divisors (see below), whose sum is σ = 1098011520. Its totient is φ = 174514176.

The previous prime is 444949499. The next prime is 444949577. The reversal of 444949568 is 865949444.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281003 + ... + 282581.

Almost surely, 2444949568 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 444949568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549005760).

444949568 is an abundant number, since it is smaller than the sum of its proper divisors (653061952).

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

444949568 is a wasteful number, since it uses less digits than its factorization.

444949568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1642 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 53.

The square root of 444949568 is about 21093.8277228198. The cubic root of 444949568 is about 763.4318299745.

The spelling of 444949568 in words is "four hundred forty-four million, nine hundred forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 37 56 64 68 74 112 119 136 148 224 238 259 272 296 448 476 518 544 592 629 952 1036 1088 1184 1258 1579 1904 2072 2368 2516 3158 3808 4144 4403 5032 6316 7616 8288 8806 10064 11053 12632 16576 17612 20128 22106 25264 26843 35224 40256 44212 50528 53686 58423 70448 88424 101056 107372 116846 140896 176848 187901 214744 233692 281792 353696 375802 408961 429488 467384 707392 751604 817922 858976 934768 993191 1503208 1635844 1717952 1869536 1986382 3006416 3271688 3739072 3972764 6012832 6543376 6952337 7945528 12025664 13086752 13904674 15891056 26173504 27809348 31782112 55618696 63564224 111237392 222474784 444949568