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445914568 = 231147131823
BaseRepresentation
bin11010100101000…
…001110111001000
31011002001210210101
4122211001313020
51403123231233
6112125255144
714023132321
oct3245016710
91132053711
10445914568
11209786240
121054044b4
13714c9298
1443317448
1529232c7d
hex1a941dc8

445914568 has 64 divisors (see below), whose sum is σ = 939755520. Its totient is φ = 196622400.

The previous prime is 445914559. The next prime is 445914583. The reversal of 445914568 is 865419544.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 541405 + ... + 542227.

It is an arithmetic number, because the mean of its divisors is an integer number (14683680).

Almost surely, 2445914568 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 445914568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469877760).

445914568 is an abundant number, since it is smaller than the sum of its proper divisors (493840952).

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

445914568 is a wasteful number, since it uses less digits than its factorization.

445914568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1014 counting only the distinct ones).

The product of its digits is 691200, while the sum is 46.

The square root of 445914568 is about 21116.6893238500. The cubic root of 445914568 is about 763.9833379954.

The spelling of 445914568 in words is "four hundred forty-five million, nine hundred fourteen thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 47 88 94 131 188 262 376 517 524 823 1034 1048 1441 1646 2068 2882 3292 4136 5764 6157 6584 9053 11528 12314 18106 24628 36212 38681 49256 67727 72424 77362 107813 135454 154724 215626 270908 309448 425491 431252 541816 850982 862504 1185943 1701964 2371886 3403928 4743772 5067211 9487544 10134422 20268844 40537688 55739321 111478642 222957284 445914568