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445094032 = 24314143509
BaseRepresentation
bin11010100001111…
…001100010010000
31011000112010020011
4122201321202100
51402421002112
6112055524304
714013144145
oct3241714220
91130463204
10445094032
11209275809
12105089694
137129c966
14431823cc
152911eaa7
hex1a879890

445094032 has 80 divisors (see below), whose sum is σ = 934940160. Its totient is φ = 204825600.

The previous prime is 445094029. The next prime is 445094077. The reversal of 445094032 is 230490544.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 445093985 and 445094003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 874194 + ... + 874702.

It is an arithmetic number, because the mean of its divisors is an integer number (11686752).

Almost surely, 2445094032 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 445094032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467470080).

445094032 is an abundant number, since it is smaller than the sum of its proper divisors (489846128).

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

445094032 is a wasteful number, since it uses less digits than its factorization.

445094032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 445094032 is about 21097.2517641517. The cubic root of 445094032 is about 763.5144434436.

The spelling of 445094032 in words is "four hundred forty-five million, ninety-four thousand, thirty-two".

Divisors: 1 2 4 8 16 31 41 43 62 82 86 124 164 172 248 328 344 496 509 656 688 1018 1271 1333 1763 2036 2542 2666 3526 4072 5084 5332 7052 8144 10168 10664 14104 15779 20336 20869 21328 21887 28208 31558 41738 43774 54653 63116 83476 87548 109306 126232 166952 175096 218612 252464 333904 350192 437224 646939 678497 874448 897367 1293878 1356994 1794734 2587756 2713988 3589468 5175512 5427976 7178936 10351024 10855952 14357872 27818377 55636754 111273508 222547016 445094032