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445441640 = 23572296947
BaseRepresentation
bin11010100011001…
…110011001101000
31011001011210001112
4122203032121220
51403013113030
6112111205452
714016122450
oct3243163150
91131153045
10445441640
11209492996
12105216888
1371391c47
1443232d60
152918ca95
hex1a8ce668

445441640 has 64 divisors (see below), whose sum is σ = 1150588800. Its totient is φ = 152034048.

The previous prime is 445441603. The next prime is 445441657. The reversal of 445441640 is 46144544.

It is a junction number, because it is equal to n+sod(n) for n = 445441597 and 445441606.

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, 60647 + ... + 67593.

It is an arithmetic number, because the mean of its divisors is an integer number (17977950).

Almost surely, 2445441640 is an apocalyptic number.

445441640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445441640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575294400).

445441640 is an abundant number, since it is smaller than the sum of its proper divisors (705147160).

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

445441640 is a wasteful number, since it uses less digits than its factorization.

445441640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7194 (or 7190 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 445441640 is about 21105.4883857256. The cubic root of 445441640 is about 763.7131540142.

The spelling of 445441640 in words is "four hundred forty-five million, four hundred forty-one thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 229 280 458 916 1145 1603 1832 2290 3206 4580 6412 6947 8015 9160 12824 13894 16030 27788 32060 34735 48629 55576 64120 69470 97258 138940 194516 243145 277880 389032 486290 972580 1590863 1945160 3181726 6363452 7954315 11136041 12726904 15908630 22272082 31817260 44544164 55680205 63634520 89088328 111360410 222720820 445441640