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445043928 = 233723149773
BaseRepresentation
bin11010100001101…
…101010011011000
31011000102120111110
4122201231103120
51402412401203
6112054500320
714012545110
oct3241552330
91130376443
10445043928
112092410aa
121050646a0
1371282c04
144316c040
152910ed03
hex1a86d4d8

445043928 has 128 divisors (see below), whose sum is σ = 1337472000. Its totient is φ = 120654336.

The previous prime is 445043899. The next prime is 445043933. The reversal of 445043928 is 829340544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 575350 + ... + 576122.

It is an arithmetic number, because the mean of its divisors is an integer number (10449000).

Almost surely, 2445043928 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 445043928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668736000).

445043928 is an abundant number, since it is smaller than the sum of its proper divisors (892428072).

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

445043928 is a wasteful number, since it uses less digits than its factorization.

445043928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 445043928 is about 21096.0642774902. The cubic root of 445043928 is about 763.4857928960.

The spelling of 445043928 in words is "four hundred forty-five million, forty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 149 161 168 184 276 298 322 447 483 552 596 644 773 894 966 1043 1192 1288 1546 1788 1932 2086 2319 3092 3129 3427 3576 3864 4172 4638 5411 6184 6258 6854 8344 9276 10281 10822 12516 13708 16233 17779 18552 20562 21644 23989 25032 27416 32466 35558 41124 43288 47978 53337 64932 71116 71967 82248 95956 106674 115177 124453 129864 142232 143934 191912 213348 230354 248906 287868 345531 373359 426696 460708 497812 575736 691062 746718 806239 921416 995624 1382124 1493436 1612478 2418717 2649071 2764248 2986872 3224956 4837434 5298142 6449912 7947213 9674868 10596284 15894426 18543497 19349736 21192568 31788852 37086994 55630491 63577704 74173988 111260982 148347976 222521964 445043928