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85198045 = 51011131493
BaseRepresentation
bin1010001010000…
…00010011011101
312221022111202011
411011000103131
5133302314140
612242031221
72053112542
oct505002335
9187274664
1085198045
1144101609
1224648511
131486035a
14b45abc9
15772dcea
hex51404dd

85198045 has 16 divisors (see below), whose sum is σ = 104233392. Its totient is φ = 66841600.

The previous prime is 85198039. The next prime is 85198097. The reversal of 85198045 is 54089158.

It can be written as a sum of positive squares in 8 ways, for example, as 962361 + 84235684 = 981^2 + 9178^2 .

It is not a de Polignac number, because 85198045 - 29 = 85197533 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85197989 and 85198007.

It is a congruent number.

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, 56319 + ... + 57811.

It is an arithmetic number, because the mean of its divisors is an integer number (6514587).

Almost surely, 285198045 is an apocalyptic number.

It is an amenable number.

85198045 is a deficient number, since it is larger than the sum of its proper divisors (19035347).

85198045 is a wasteful number, since it uses less digits than its factorization.

85198045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712.

The product of its (nonzero) digits is 57600, while the sum is 40.

The square root of 85198045 is about 9230.2787065180. The cubic root of 85198045 is about 440.0241808336.

The spelling of 85198045 in words is "eighty-five million, one hundred ninety-eight thousand, forty-five".

Divisors: 1 5 101 113 505 565 1493 7465 11413 57065 150793 168709 753965 843545 17039609 85198045