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9009973 = 72183877
BaseRepresentation
bin100010010111…
…101100110101
3121221202100201
4202113230311
54301304343
6521040501
7136404100
oct42275465
917852321
109009973
1150a4365
123026131
131b3605b
1412a7737
15bce94d
hex897b35

9009973 has 6 divisors (see below), whose sum is σ = 10481046. Its totient is φ = 7722792.

The previous prime is 9009961. The next prime is 9009977. The reversal of 9009973 is 3799009.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8892324 + 117649 = 2982^2 + 343^2 .

It is not a de Polignac number, because 9009973 - 25 = 9009941 is a prime.

It is a super-2 number, since 2×90099732 = 162359226921458, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9009977) 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, 91890 + ... + 91987.

It is an arithmetic number, because the mean of its divisors is an integer number (1746841).

Almost surely, 29009973 is an apocalyptic number.

It is an amenable number.

9009973 is a deficient number, since it is larger than the sum of its proper divisors (1471073).

9009973 is a wasteful number, since it uses less digits than its factorization.

9009973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183891 (or 183884 counting only the distinct ones).

The product of its (nonzero) digits is 15309, while the sum is 37.

The square root of 9009973 is about 3001.6617064553. The cubic root of 9009973 is about 208.0851860763.

The spelling of 9009973 in words is "nine million, nine thousand, nine hundred seventy-three".

Divisors: 1 7 49 183877 1287139 9009973