Search a number
-
+
85542786 = 23276710133
BaseRepresentation
bin1010001100101…
…00011110000010
312221222000122100
411012110132002
5133344332121
612253251230
72056046610
oct506243602
9187860570
1085542786
114431761a
1224793b16
1314951244
14b50a6b0
15779b026
hex5194782

85542786 has 48 divisors (see below), whose sum is σ = 215002944. Its totient is φ = 24073632.

The previous prime is 85542763. The next prime is 85542797. The reversal of 85542786 is 68724558.

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 3376 + ... + 13508.

It is an arithmetic number, because the mean of its divisors is an integer number (4479228).

Almost surely, 285542786 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85542786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107501472).

85542786 is an abundant number, since it is smaller than the sum of its proper divisors (129460158).

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

85542786 is a wasteful number, since it uses less digits than its factorization.

85542786 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10215 (or 10212 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 85542786 is about 9248.9343169903. The cubic root of 85542786 is about 440.6168792226.

The spelling of 85542786 in words is "eighty-five million, five hundred forty-two thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 402 469 603 938 1206 1407 2814 4221 8442 10133 20266 30399 60798 70931 91197 141862 182394 212793 425586 638379 678911 1276758 1357822 2036733 4073466 4752377 6110199 9504754 12220398 14257131 28514262 42771393 85542786