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445502000 = 24531713103
BaseRepresentation
bin11010100011011…
…101001000110000
31011001021211212002
4122203131020300
51403022031000
6112112353132
714016463436
oct3243351060
91131254762
10445502000
11209524279
121052457a8
13713b3568
144324ad56
15291a08d5
hex1a8dd230

445502000 has 80 divisors (see below), whose sum is σ = 1140676992. Its totient is φ = 167705600.

The previous prime is 445501999. The next prime is 445502003. The reversal of 445502000 is 205544.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (445502003) by changing a digit.

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, 27449 + ... + 40551.

Almost surely, 2445502000 is an apocalyptic number.

445502000 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 445502000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570338496).

445502000 is an abundant number, since it is smaller than the sum of its proper divisors (695174992).

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

445502000 is a wasteful number, since it uses less digits than its factorization.

445502000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13143 (or 13127 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 445502000 is about 21106.9182970892. The cubic root of 445502000 is about 763.7476483526.

Adding to 445502000 its reverse (205544), we get a palindrome (445707544).

The spelling of 445502000 in words is "four hundred forty-five million, five hundred two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 8500 13103 17000 26206 34000 52412 65515 104824 131030 209648 222751 262060 327575 445502 524120 655150 891004 1048240 1113755 1310300 1637875 1782008 2227510 2620600 3275750 3564016 4455020 5241200 5568775 6551500 8910040 11137550 13103000 17820080 22275100 26206000 27843875 44550200 55687750 89100400 111375500 222751000 445502000