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845050000 = 245516901
BaseRepresentation
bin110010010111100…
…111000010010000
32011220002222200011
4302113213002100
53212313100000
6215504204304
726640543424
oct6227470220
92156088604
10845050000
113a4010633
121b7009694
131060c71b2
1480334b84
154e2c52ba
hex325e7090

845050000 has 60 divisors (see below), whose sum is σ = 2046595572. Its totient is φ = 338000000.

The previous prime is 845049943. The next prime is 845050001. The reversal of 845050000 is 50548.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 396965776 + 448084224 = 19924^2 + 21168^2 .

It is not an unprimeable number, because it can be changed into a prime (845050001) 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 11 ways as a sum of consecutive naturals, for example, 41550 + ... + 58450.

Almost surely, 2845050000 is an apocalyptic number.

845050000 is a gapful number since it is divisible by the number (80) 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 845050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023297786).

845050000 is an abundant number, since it is smaller than the sum of its proper divisors (1201545572).

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

845050000 is an equidigital number, since it uses as much as digits as its factorization.

845050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16934 (or 16908 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 845050000 is about 29069.7437209206. The cubic root of 845050000 is about 945.4258413152.

The spelling of 845050000 in words is "eight hundred forty-five million, fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3125 5000 6250 10000 12500 16901 25000 33802 50000 67604 84505 135208 169010 270416 338020 422525 676040 845050 1352080 1690100 2112625 3380200 4225250 6760400 8450500 10563125 16901000 21126250 33802000 42252500 52815625 84505000 105631250 169010000 211262500 422525000 845050000