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9028224 = 273217461
BaseRepresentation
bin100010011100…
…001010000000
3121222200101200
4202130022000
54302400344
6521301200
7136511232
oct42341200
917880350
109028224
115107047
123034800
131b4145a
1412b0252
15bd5069
hex89c280

9028224 has 96 divisors (see below), whose sum is σ = 27567540. Its totient is φ = 2826240.

The previous prime is 9028181. The next prime is 9028231. The reversal of 9028224 is 4228209.

It can be written as a sum of positive squares in 2 ways, for example, as 9000000 + 28224 = 3000^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19354 + ... + 19814.

Almost surely, 29028224 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 9028224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13783770).

9028224 is an abundant number, since it is smaller than the sum of its proper divisors (18539316).

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

9028224 is a wasteful number, since it uses less digits than its factorization.

9028224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 9028224 is about 3004.7003178354. The cubic root of 9028224 is about 208.2255935007.

The spelling of 9028224 in words is "nine million, twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 461 544 576 612 816 922 1088 1152 1224 1383 1632 1844 2176 2448 2766 3264 3688 4149 4896 5532 6528 7376 7837 8298 9792 11064 14752 15674 16596 19584 22128 23511 29504 31348 33192 44256 47022 59008 62696 66384 70533 88512 94044 125392 132768 141066 177024 188088 250784 265536 282132 376176 501568 531072 564264 752352 1003136 1128528 1504704 2257056 3009408 4514112 9028224