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445552668 = 2232113747647
BaseRepresentation
bin11010100011101…
…001100000011100
31011001101102100200
4122203221200130
51403030141133
6112113423500
714020064241
oct3243514034
91131342320
10445552668
11209559350
1210526ab90
1371400642
14432615c8
15291b0913
hex1a8e981c

445552668 has 144 divisors (see below), whose sum is σ = 1290691584. Its totient is φ = 128373120.

The previous prime is 445552663. The next prime is 445552669. The reversal of 445552668 is 866255544.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445552663) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 688321 + ... + 688967.

It is an arithmetic number, because the mean of its divisors is an integer number (8963136).

Almost surely, 2445552668 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 445552668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645345792).

445552668 is an abundant number, since it is smaller than the sum of its proper divisors (845138916).

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

445552668 is a wasteful number, since it uses less digits than its factorization.

445552668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 747 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The square root of 445552668 is about 21108.1185329247. The cubic root of 445552668 is about 763.7766015326.

The spelling of 445552668 in words is "four hundred forty-five million, five hundred fifty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 47 66 74 94 99 111 132 141 148 188 198 222 282 333 396 407 423 444 517 564 647 666 814 846 1034 1221 1294 1332 1551 1628 1692 1739 1941 2068 2442 2588 3102 3478 3663 3882 4653 4884 5217 5823 6204 6956 7117 7326 7764 9306 10434 11646 14234 14652 15651 18612 19129 20868 21351 23292 23939 28468 30409 31302 38258 42702 47878 57387 60818 62604 64053 71817 76516 85404 91227 95756 114774 121636 128106 143634 172161 182454 215451 229548 256212 263329 273681 287268 334499 344322 364908 430902 526658 547362 668998 688644 789987 861804 1003497 1053316 1094724 1125133 1337996 1579974 2006994 2250266 2369961 3010491 3159948 3375399 4013988 4500532 4739922 6020982 6750798 9479844 10126197 12041964 12376463 13501596 20252394 24752926 37129389 40504788 49505852 74258778 111388167 148517556 222776334 445552668