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85948090 = 25171912647
BaseRepresentation
bin1010001111101…
…11011010111010
312222201121121121
411013313122322
5134000314330
612310055454
72062355344
oct507673272
9188647547
1085948090
1144574088
122494a58a
1314a63877
14b5b4294
15782b17a
hex51f76ba

85948090 has 32 divisors (see below), whose sum is σ = 164726784. Its totient is φ = 32175360.

The previous prime is 85948067. The next prime is 85948091. The reversal of 85948090 is 9084958.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85948091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31147 + ... + 33793.

It is an arithmetic number, because the mean of its divisors is an integer number (5147712).

Almost surely, 285948090 is an apocalyptic number.

85948090 is a deficient number, since it is larger than the sum of its proper divisors (78778694).

85948090 is a wasteful number, since it uses less digits than its factorization.

85948090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862.

The product of its (nonzero) digits is 103680, while the sum is 43.

The square root of 85948090 is about 9270.8192733976. The cubic root of 85948090 is about 441.3116679052.

The spelling of 85948090 in words is "eighty-five million, nine hundred forty-eight thousand, ninety".

Divisors: 1 2 5 10 17 34 85 170 191 382 955 1910 2647 3247 5294 6494 13235 16235 26470 32470 44999 89998 224995 449990 505577 1011154 2527885 5055770 8594809 17189618 42974045 85948090