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9045712 = 2413157277
BaseRepresentation
bin100010100000…
…011011010000
3122000120101101
4202200123100
54303430322
6521514144
7136613224
oct42403320
918016341
109045712
1151191a5
123042954
131b493c0
1412b6784
15bda327
hex8a06d0

9045712 has 40 divisors (see below), whose sum is σ = 19063016. Its totient is φ = 4133376.

The previous prime is 9045697. The next prime is 9045713. The reversal of 9045712 is 2175409.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 69696 + 8976016 = 264^2 + 2996^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9045713) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32518 + ... + 32794.

Almost surely, 29045712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9045712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9531508).

9045712 is an abundant number, since it is smaller than the sum of its proper divisors (10017304).

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

9045712 is a wasteful number, since it uses less digits than its factorization.

9045712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 9045712 is about 3007.6090171430. The cubic root of 9045712 is about 208.3599536473.

The spelling of 9045712 in words is "nine million, forty-five thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 157 208 277 314 554 628 1108 1256 2041 2216 2512 3601 4082 4432 7202 8164 14404 16328 28808 32656 43489 57616 86978 173956 347912 565357 695824 1130714 2261428 4522856 9045712