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820033923 = 33710967777
BaseRepresentation
bin110000111000001…
…011100110000011
32010011001001001210
4300320023212003
53134412041143
6213212101203
726215113312
oct6070134603
92104031053
10820033923
11390984695
121aa764803
13100b78897
147aca2279
154bed3033
hex30e0b983

820033923 has 16 divisors (see below), whose sum is σ = 1133248160. Its totient is φ = 527026176.

The previous prime is 820033909. The next prime is 820033993. The reversal of 820033923 is 329330028.

It is not a de Polignac number, because 820033923 - 26 = 820033859 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820033993) 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, 21790 + ... + 45987.

It is an arithmetic number, because the mean of its divisors is an integer number (70828010).

Almost surely, 2820033923 is an apocalyptic number.

820033923 is a deficient number, since it is larger than the sum of its proper divisors (313214237).

820033923 is a wasteful number, since it uses less digits than its factorization.

820033923 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67926.

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 820033923 is about 28636.2344416999. The cubic root of 820033923 is about 936.0030692883.

The spelling of 820033923 in words is "eight hundred twenty million, thirty-three thousand, nine hundred twenty-three".

Divisors: 1 3 37 109 111 327 4033 12099 67777 203331 2507749 7387693 7523247 22163079 273344641 820033923