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8228992 = 27531213
BaseRepresentation
bin11111011001000010000000
3120111002001111
4133121002000
54101311432
6452213104
7126642142
oct37310200
916432044
108228992
114710622
12290a194
131921735
141142c92
15ac8347
hex7d9080

8228992 has 32 divisors (see below), whose sum is σ = 16716780. Its totient is φ = 4033536.

The previous prime is 8228989. The next prime is 8228993. The reversal of 8228992 is 2998228.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7974976 + 254016 = 2824^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (8228993) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6178 + ... + 7390.

Almost surely, 28228992 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 8228992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8358390).

8228992 is an abundant number, since it is smaller than the sum of its proper divisors (8487788).

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

8228992 is a wasteful number, since it uses less digits than its factorization.

8228992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1268 counting only the distinct ones).

The product of its digits is 41472, while the sum is 40.

The square root of 8228992 is about 2868.6219688206. The cubic root of 8228992 is about 201.8903433849.

The spelling of 8228992 in words is "eight million, two hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1213 1696 2426 3392 4852 6784 9704 19408 38816 64289 77632 128578 155264 257156 514312 1028624 2057248 4114496 8228992