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85860702 = 2332373947
BaseRepresentation
bin1010001111000…
…10000101011110
312222120011202000
411013202011132
5133440020302
612304143130
72061542514
oct507420536
9188504660
1085860702
1144514464
1224907aa6
1314a32b65
14b5904b4
15781031c
hex51e215e

85860702 has 64 divisors (see below), whose sum is σ = 202037760. Its totient is φ = 26972352.

The previous prime is 85860673. The next prime is 85860737. The reversal of 85860702 is 20706858.

85860702 is a `hidden beast` number, since 8 + 586 + 0 + 70 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90193 + ... + 91139.

It is an arithmetic number, because the mean of its divisors is an integer number (3156840).

Almost surely, 285860702 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85860702, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101018880).

85860702 is an abundant number, since it is smaller than the sum of its proper divisors (116177058).

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

85860702 is a wasteful number, since it uses less digits than its factorization.

85860702 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 85860702 is about 9266.1050069595. The cubic root of 85860702 is about 441.1620488274.

The spelling of 85860702 in words is "eighty-five million, eight hundred sixty thousand, seven hundred two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 73 138 146 207 219 414 438 621 657 947 1242 1314 1679 1894 1971 2841 3358 3942 5037 5682 8523 10074 15111 17046 21781 25569 30222 43562 45333 51138 65343 69131 90666 130686 138262 196029 207393 392058 414786 588087 622179 1176174 1244358 1590013 1866537 3180026 3733074 4770039 9540078 14310117 28620234 42930351 85860702