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445513216 = 2919411117
BaseRepresentation
bin11010100011011…
…111111000000000
31011001022102020111
4122203133320000
51403022410331
6112112521104
714016541231
oct3243377000
91131272214
10445513216
11209531745
12105250194
13713b86b5
1443251088
15291a3db1
hex1a8dfe00

445513216 has 80 divisors (see below), whose sum is σ = 960719760. Its totient is φ = 205701120.

The previous prime is 445513199. The next prime is 445513223. The reversal of 445513216 is 612315544.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 398290 + ... + 399406.

It is an arithmetic number, because the mean of its divisors is an integer number (12008997).

Almost surely, 2445513216 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 445513216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480359880).

445513216 is an abundant number, since it is smaller than the sum of its proper divisors (515206544).

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

445513216 is a wasteful number, since it uses less digits than its factorization.

445513216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1179 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The square root of 445513216 is about 21107.1839902911. The cubic root of 445513216 is about 763.7540576928.

It can be divided in two parts, 4455 and 13216, that added together give a palindrome (17671).

The spelling of 445513216 in words is "four hundred forty-five million, five hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 128 152 164 256 304 328 512 608 656 779 1117 1216 1312 1558 2234 2432 2624 3116 4468 4864 5248 6232 8936 9728 10496 12464 17872 20992 21223 24928 35744 42446 45797 49856 71488 84892 91594 99712 142976 169784 183188 199424 285952 339568 366376 398848 571904 679136 732752 870143 1358272 1465504 1740286 2716544 2931008 3480572 5433088 5862016 6961144 10866176 11724032 13922288 23448064 27844576 55689152 111378304 222756608 445513216