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9004016 = 247174729
BaseRepresentation
bin100010010110…
…001111110000
3121221110012002
4202112033300
54301112031
6520553132
7136350530
oct42261760
917843162
109004016
11509a93a
1230227a8
131b33428
1412a54c0
15bccccb
hex8963f0

9004016 has 40 divisors (see below), whose sum is σ = 21114720. Its totient is φ = 3631104.

The previous prime is 9004013. The next prime is 9004019. The reversal of 9004016 is 6104009.

9004016 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (9004013) and next prime (9004019).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9004013) 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 7 ways as a sum of consecutive naturals, for example, 461 + ... + 4268.

It is an arithmetic number, because the mean of its divisors is an integer number (527868).

Almost surely, 29004016 is an apocalyptic number.

It is an amenable number.

9004016 is an abundant number, since it is smaller than the sum of its proper divisors (12110704).

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

9004016 is a wasteful number, since it uses less digits than its factorization.

9004016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761 (or 4755 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 9004016 is about 3000.6692586821. The cubic root of 9004016 is about 208.0393170253.

The spelling of 9004016 in words is "nine million, four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 4729 9458 18916 33103 37832 66206 75664 80393 132412 160786 264824 321572 529648 562751 643144 1125502 1286288 2251004 4502008 9004016