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90441306 = 2337322943
BaseRepresentation
bin1010110010000…
…00011001011010
320022011220011000
411121000121122
5141123110211
612550245430
72145511164
oct531003132
9208156130
1090441306
114706298a
1226356876
1315977a87
14c023934
157e17656
hex564065a

90441306 has 32 divisors (see below), whose sum is σ = 203742720. Its totient is φ = 29732832.

The previous prime is 90441293. The next prime is 90441317. The reversal of 90441306 is 60314409.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 90441306.

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 15 ways as a sum of consecutive naturals, for example, 7530 + ... + 15413.

It is an arithmetic number, because the mean of its divisors is an integer number (6366960).

Almost surely, 290441306 is an apocalyptic number.

90441306 is an abundant number, since it is smaller than the sum of its proper divisors (113301414).

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

90441306 is a wasteful number, since it uses less digits than its factorization.

90441306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23027 (or 23021 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 90441306 is about 9510.0634067287. The cubic root of 90441306 is about 448.8717513753.

The spelling of 90441306 in words is "ninety million, four hundred forty-one thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 54 73 146 219 438 657 1314 1971 3942 22943 45886 68829 137658 206487 412974 619461 1238922 1674839 3349678 5024517 10049034 15073551 30147102 45220653 90441306