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820435050 = 232521823189
BaseRepresentation
bin110000111001101…
…101100001101010
32010011210102022100
4300321231201222
53140012410200
6213224434230
726221403631
oct6071554152
92104712270
10820435050
11391128aa6
121aa918976
13100c89336
147ad68518
154c061d00
hex30e6d86a

820435050 has 36 divisors (see below), whose sum is σ = 2204236710. Its totient is φ = 218782560.

The previous prime is 820435037. The next prime is 820435073. The reversal of 820435050 is 50534028.

820435050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 741527361 + 78907689 = 27231^2 + 8883^2 .

It is a super-2 number, since 2×8204350502 = 1346227342537005000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 911145 + ... + 912044.

Almost surely, 2820435050 is an apocalyptic number.

820435050 is an abundant number, since it is smaller than the sum of its proper divisors (1383801660).

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

820435050 is a wasteful number, since it uses less digits than its factorization.

820435050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823207 (or 1823199 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 820435050 is about 28643.2374217720. The cubic root of 820435050 is about 936.1556625286.

Adding to 820435050 its reverse (50534028), we get a palindrome (870969078).

The spelling of 820435050 in words is "eight hundred twenty million, four hundred thirty-five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 1823189 3646378 5469567 9115945 10939134 16408701 18231890 27347835 32817402 45579725 54695670 82043505 91159450 136739175 164087010 273478350 410217525 820435050