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85206414 = 23173126947
BaseRepresentation
bin1010001010000…
…10010110001110
312221022221020010
411011002112032
5133303101124
612242134050
72053146126
oct505022616
9187287203
1085206414
1144107927
1224651326
13148640c7
14b45dc86
157731529
hex514258e

85206414 has 32 divisors (see below), whose sum is σ = 186264576. Its totient is φ = 25868160.

The previous prime is 85206413. The next prime is 85206419. The reversal of 85206414 is 41460258.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85206413) 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 15 ways as a sum of consecutive naturals, for example, 10312 + ... + 16635.

It is an arithmetic number, because the mean of its divisors is an integer number (5820768).

Almost surely, 285206414 is an apocalyptic number.

85206414 is an abundant number, since it is smaller than the sum of its proper divisors (101058162).

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

85206414 is a wasteful number, since it uses less digits than its factorization.

85206414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27000.

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 85206414 is about 9230.7320403097. The cubic root of 85206414 is about 440.0385882135.

The spelling of 85206414 in words is "eighty-five million, two hundred six thousand, four hundred fourteen".

Divisors: 1 2 3 6 17 31 34 51 62 93 102 186 527 1054 1581 3162 26947 53894 80841 161682 458099 835357 916198 1374297 1670714 2506071 2748594 5012142 14201069 28402138 42603207 85206414