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445002064 = 241317317397
BaseRepresentation
bin11010100001100…
…011000101010000
31011000100110001221
4122201203011100
51402410031224
6112053534424
714012312053
oct3241430520
91130313057
10445002064
11209212701
12105044414
1371269b40
144315aa9a
15291026e4
hex1a863150

445002064 has 80 divisors (see below), whose sum is σ = 988717968. Its totient is φ = 192208896.

The previous prime is 445002053. The next prime is 445002109. The reversal of 445002064 is 460200544.

It can be written as a sum of positive squares in 8 ways, for example, as 23931664 + 421070400 = 4892^2 + 20520^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1120714 + ... + 1121110.

Almost surely, 2445002064 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 445002064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494358984).

445002064 is an abundant number, since it is smaller than the sum of its proper divisors (543715904).

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

445002064 is a wasteful number, since it uses less digits than its factorization.

445002064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 445002064 is about 21095.0720311641. The cubic root of 445002064 is about 763.4618525091.

It can be divided in two parts, 44500 and 2064, that added together give a palindrome (46564).

The spelling of 445002064 in words is "four hundred forty-five million, two thousand, sixty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 317 397 442 634 794 884 1268 1588 1768 2536 3176 3536 4121 5072 5161 5389 6352 6749 8242 10322 10778 13498 16484 20644 21556 26996 32968 41288 43112 53992 65936 70057 82576 86224 87737 107984 125849 140114 175474 251698 280228 350948 503396 560456 701896 1006792 1120912 1403792 1636037 2013584 2139433 3272074 4278866 6544148 8557732 13088296 17115464 26176592 27812629 34230928 55625258 111250516 222501032 445002064