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90475668 = 223210923057
BaseRepresentation
bin1010110010010…
…00110010010100
320022020122021200
411121020302110
5141130210133
612551112500
72146013313
oct531106224
9208218250
1090475668
1147086788
1226372730
131598a5ca
14c03227a
157e22913
hex5648c94

90475668 has 36 divisors (see below), whose sum is σ = 230810580. Its totient is φ = 29880576.

The previous prime is 90475667. The next prime is 90475673. The reversal of 90475668 is 86657409.

It can be written as a sum of positive squares in 2 ways, for example, as 76947984 + 13527684 = 8772^2 + 3678^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90475667) 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 11 ways as a sum of consecutive naturals, for example, 7605 + ... + 15452.

It is an arithmetic number, because the mean of its divisors is an integer number (6411405).

Almost surely, 290475668 is an apocalyptic number.

It is an amenable number.

90475668 is an abundant number, since it is smaller than the sum of its proper divisors (140334912).

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

90475668 is a wasteful number, since it uses less digits than its factorization.

90475668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23176 (or 23171 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 90475668 is about 9511.8698477218. The cubic root of 90475668 is about 448.9285918420.

The spelling of 90475668 in words is "ninety million, four hundred seventy-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1962 3924 23057 46114 69171 92228 138342 207513 276684 415026 830052 2513213 5026426 7539639 10052852 15079278 22618917 30158556 45237834 90475668