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445523540 = 225711439659
BaseRepresentation
bin11010100011100…
…010011001010100
31011001022221101212
4122203202121110
51403023223130
6112113040552
714016613310
oct3243423124
91131287355
10445523540
11209539480
12105256158
13713c02c7
1443254b40
15291a6e95
hex1a8e2654

445523540 has 96 divisors (see below), whose sum is σ = 1170892800. Its totient is φ = 138337920.

The previous prime is 445523527. The next prime is 445523557. The reversal of 445523540 is 45325544.

It is a junction number, because it is equal to n+sod(n) for n = 445523497 and 445523506.

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, 675731 + ... + 676389.

It is an arithmetic number, because the mean of its divisors is an integer number (12196800).

Almost surely, 2445523540 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 445523540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585446400).

445523540 is an abundant number, since it is smaller than the sum of its proper divisors (725369260).

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

445523540 is a wasteful number, since it uses less digits than its factorization.

445523540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

The square root of 445523540 is about 21107.4285501574. The cubic root of 445523540 is about 763.7599572081.

The spelling of 445523540 in words is "four hundred forty-five million, five hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 439 659 770 878 1318 1540 1756 2195 2636 3073 3295 4390 4613 4829 6146 6590 7249 8780 9226 9658 12292 13180 14498 15365 18452 19316 23065 24145 28996 30730 33803 36245 46130 48290 50743 61460 67606 72490 92260 96580 101486 135212 144980 169015 202972 253715 289301 338030 507430 578602 676060 1014860 1157204 1446505 2025107 2893010 3182311 4050214 5786020 6364622 8100428 10125535 12729244 15911555 20251070 22276177 31823110 40502140 44552354 63646220 89104708 111380885 222761770 445523540