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90446985 = 32567131229
BaseRepresentation
bin1010110010000…
…01110010001001
320022012011221100
411121001302021
5141123300420
612550332013
72145533556
oct531016211
9208164840
1090446985
1147067182
122635a009
131597a535
14c025a2d
157e19190
hex5641c89

90446985 has 48 divisors (see below), whose sum is σ = 161029440. Its totient is φ = 46949760.

The previous prime is 90446977. The next prime is 90447013. The reversal of 90446985 is 58964409.

It is a happy number.

It is not a de Polignac number, because 90446985 - 23 = 90446977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 90446985.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 394851 + ... + 395079.

It is an arithmetic number, because the mean of its divisors is an integer number (3354780).

Almost surely, 290446985 is an apocalyptic number.

It is an amenable number.

90446985 is a deficient number, since it is larger than the sum of its proper divisors (70582455).

90446985 is a wasteful number, since it uses less digits than its factorization.

90446985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 90446985 is about 9510.3619804926. The cubic root of 90446985 is about 448.8811463794.

The spelling of 90446985 in words is "ninety million, four hundred forty-six thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 45 67 131 201 229 335 393 603 655 687 1005 1145 1179 1965 2061 3015 3435 5895 8777 10305 15343 26331 29999 43885 46029 76715 78993 89997 131655 138087 149995 230145 269991 394965 449985 690435 1349955 2009933 6029799 10049665 18089397 30148995 90446985