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90828928 = 272924469
BaseRepresentation
bin1010110100111…
…11000010000000
320022220120212101
411122133002000
5141223011203
613002440144
72152014241
oct532370200
9208816771
1090828928
11472a8133
1226503054
1315a82338
14c0c4cc8
157e9241d
hex569f080

90828928 has 32 divisors (see below), whose sum is σ = 187195500. Its totient is φ = 43846656.

The previous prime is 90828923. The next prime is 90828929. The reversal of 90828928 is 82982809.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 87759424 + 3069504 = 9368^2 + 1752^2 .

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 (90828923) 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 3 ways as a sum of consecutive naturals, for example, 8523 + ... + 15946.

Almost surely, 290828928 is an apocalyptic number.

It is an amenable number.

90828928 is an abundant number, since it is smaller than the sum of its proper divisors (96366572).

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

90828928 is a wasteful number, since it uses less digits than its factorization.

90828928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24512 (or 24500 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The square root of 90828928 is about 9530.4211869151. The cubic root of 90828928 is about 449.5121099038.

The spelling of 90828928 in words is "ninety million, eight hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 24469 48938 97876 195752 391504 709601 783008 1419202 1566016 2838404 3132032 5676808 11353616 22707232 45414464 90828928