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9002061 = 321723461
BaseRepresentation
bin100010010101…
…110001001101
3121221100111200
4202111301031
54301031221
6520540113
7136342035
oct42256115
917840450
109002061
115099422
123021639
131b32583
1412a48c5
15bcc426
hex895c4d

9002061 has 18 divisors (see below), whose sum is σ = 13816842. Its totient is φ = 5646720.

The previous prime is 9002047. The next prime is 9002087. The reversal of 9002061 is 1602009.

It can be written as a sum of positive squares in 3 ways, for example, as 2268036 + 6734025 = 1506^2 + 2595^2 .

It is not a de Polignac number, because 9002061 - 27 = 9001933 is a prime.

9002061 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9002011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 871 + ... + 4331.

Almost surely, 29002061 is an apocalyptic number.

It is an amenable number.

9002061 is a deficient number, since it is larger than the sum of its proper divisors (4814781).

9002061 is a wasteful number, since it uses less digits than its factorization.

9002061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3501 (or 3481 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 9002061 is about 3000.3434803369. The cubic root of 9002061 is about 208.0242590665.

The spelling of 9002061 in words is "nine million, two thousand, sixty-one".

Divisors: 1 3 9 17 51 153 289 867 2601 3461 10383 31149 58837 176511 529533 1000229 3000687 9002061