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9039072 = 253713451
BaseRepresentation
bin100010011110…
…110011100000
3122000020021110
4202132303200
54303222242
6521423320
7136554660
oct42366340
918006243
109039072
115114209
12303ab40
131b46383
1412b41a0
15bd839c
hex89ece0

9039072 has 48 divisors (see below), whose sum is σ = 27119232. Its totient is φ = 2582400.

The previous prime is 9039071. The next prime is 9039083. The reversal of 9039072 is 2709309.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9039071) 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, 6054 + ... + 7397.

It is an arithmetic number, because the mean of its divisors is an integer number (564984).

Almost surely, 29039072 is an apocalyptic number.

It is an amenable number.

9039072 is an abundant number, since it is smaller than the sum of its proper divisors (18080160).

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

9039072 is a wasteful number, since it uses less digits than its factorization.

9039072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13471 (or 13463 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 9039072 is about 3006.5049476094. The cubic root of 9039072 is about 208.3089589973.

The spelling of 9039072 in words is "nine million, thirty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 13451 26902 40353 53804 80706 94157 107608 161412 188314 215216 282471 322824 376628 430432 564942 645648 753256 1129884 1291296 1506512 2259768 3013024 4519536 9039072