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947008073 = 1127826513
BaseRepresentation
bin111000011100100…
…011001001001001
32102222221222212002
4320130203021021
53414413224243
6233545400345
732316302324
oct7034431111
92388858762
10947008073
1144661a200
122251990b5
1312127500b
148dab57bb
1558214eb8
hex38723249

947008073 has 6 divisors (see below), whose sum is σ = 1040926362. Its totient is φ = 860916320.

The previous prime is 947008063. The next prime is 947008087. The reversal of 947008073 is 370800749.

It can be written as a sum of positive squares in only one way, i.e., 916393984 + 30614089 = 30272^2 + 5533^2 .

It is not a de Polignac number, because 947008073 - 26 = 947008009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (947008043) 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 5 ways as a sum of consecutive naturals, for example, 3913136 + ... + 3913377.

It is an arithmetic number, because the mean of its divisors is an integer number (173487727).

Almost surely, 2947008073 is an apocalyptic number.

It is an amenable number.

947008073 is a deficient number, since it is larger than the sum of its proper divisors (93918289).

947008073 is a wasteful number, since it uses less digits than its factorization.

947008073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7826535 (or 7826524 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 947008073 is about 30773.4962752041. The cubic root of 947008073 is about 982.0144848902.

The spelling of 947008073 in words is "nine hundred forty-seven million, eight thousand, seventy-three".

Divisors: 1 11 121 7826513 86091643 947008073