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445000 = 235489
BaseRepresentation
bin1101100101001001000
3211121102111
41230221020
5103220000
613312104
73532243
oct1545110
9747374
10445000
11284376
12195634
1312771a
14b825a
158bcba
hex6ca48

445000 has 40 divisors (see below), whose sum is σ = 1054350. Its totient is φ = 176000.

The previous prime is 444979. The next prime is 445001. The reversal of 445000 is 544.

It can be written as a sum of positive squares in 5 ways, for example, as 1444 + 443556 = 38^2 + 666^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (445001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4956 + ... + 5044.

2445000 is an apocalyptic number.

445000 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 445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527175).

445000 is an abundant number, since it is smaller than the sum of its proper divisors (609350).

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

445000 is an equidigital number, since it uses as much as digits as its factorization.

445000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 445000 is about 667.0832032063. The cubic root of 445000 is about 76.3460672149.

Adding to 445000 its reverse (544), we get a palindrome (445544).

The spelling of 445000 in words is "four hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 125 178 200 250 356 445 500 625 712 890 1000 1250 1780 2225 2500 3560 4450 5000 8900 11125 17800 22250 44500 55625 89000 111250 222500 445000