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90485694 = 23313157821
BaseRepresentation
bin1010110010010…
…11001110111110
320022021011001000
411121023032332
5141131020234
612551231130
72146054455
oct531131676
9208234030
1090485694
1147093272
12263784a6
1315992040
14c035b9c
157e25899
hex564b3be

90485694 has 64 divisors (see below), whose sum is σ = 218191680. Its totient is φ = 27630720.

The previous prime is 90485641. The next prime is 90485719. The reversal of 90485694 is 49658409.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109804 + ... + 110624.

It is an arithmetic number, because the mean of its divisors is an integer number (3409245).

Almost surely, 290485694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90485694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109095840).

90485694 is an abundant number, since it is smaller than the sum of its proper divisors (127705986).

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

90485694 is a wasteful number, since it uses less digits than its factorization.

90485694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 996 counting only the distinct ones).

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

The square root of 90485694 is about 9512.3968588364. The cubic root of 90485694 is about 448.9451738024.

The spelling of 90485694 in words is "ninety million, four hundred eighty-five thousand, six hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 157 234 314 351 471 702 821 942 1413 1642 2041 2463 2826 4082 4239 4926 6123 7389 8478 10673 12246 14778 18369 21346 22167 32019 36738 44334 55107 64038 96057 110214 128897 192114 257794 288171 386691 576342 773382 1160073 1675661 2320146 3351322 3480219 5026983 6960438 10053966 15080949 30161898 45242847 90485694