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445048464 = 24373114259
BaseRepresentation
bin11010100001101…
…110011010010000
31011000102210201110
4122201232122100
51402413022324
6112054533320
714012564250
oct3241563220
91130383643
10445048464
11209244553
12105067240
1371284cb3
144316d960
1529111329
hex1a86e690

445048464 has 80 divisors (see below), whose sum is σ = 1318487040. Its totient is φ = 126718080.

The previous prime is 445048441. The next prime is 445048489. The reversal of 445048464 is 464840544.

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 15 ways as a sum of consecutive naturals, for example, 102367 + ... + 106625.

It is an arithmetic number, because the mean of its divisors is an integer number (16481088).

Almost surely, 2445048464 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 445048464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659243520).

445048464 is an abundant number, since it is smaller than the sum of its proper divisors (873438576).

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

445048464 is a wasteful number, since it uses less digits than its factorization.

445048464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4588 (or 4582 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 39.

The square root of 445048464 is about 21096.1717854212. The cubic root of 445048464 is about 763.4883867671.

The spelling of 445048464 in words is "four hundred forty-five million, forty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 311 336 622 933 1244 1866 2177 2488 3732 4259 4354 4976 6531 7464 8518 8708 12777 13062 14928 17036 17416 25554 26124 29813 34072 34832 51108 52248 59626 68144 89439 102216 104496 119252 178878 204432 238504 357756 477008 715512 1324549 1431024 2649098 3973647 5298196 7947294 9271843 10596392 15894588 18543686 21192784 27815529 31789176 37087372 55631058 63578352 74174744 111262116 148349488 222524232 445048464