Search a number
-
+
85902726 = 237131311201
BaseRepresentation
bin1010001111011…
…00010110000110
312222122022101110
411013230112012
5133442341401
612305105450
72062106160
oct507542606
9188568343
1085902726
1144542a98
1224928286
1314a49020
14b5a1930
15781c9d6
hex51ec586

85902726 has 64 divisors (see below), whose sum is σ = 213244416. Its totient is φ = 22464000.

The previous prime is 85902671. The next prime is 85902731. The reversal of 85902726 is 62720958.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 70926 + ... + 72126.

It is an arithmetic number, because the mean of its divisors is an integer number (3331944).

Almost surely, 285902726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85902726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106622208).

85902726 is an abundant number, since it is smaller than the sum of its proper divisors (127341690).

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

85902726 is a wasteful number, since it uses less digits than its factorization.

85902726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357.

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 85902726 is about 9268.3723490158. The cubic root of 85902726 is about 441.2340117847.

The spelling of 85902726 in words is "eighty-five million, nine hundred two thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 131 182 262 273 393 546 786 917 1201 1703 1834 2402 2751 3406 3603 5109 5502 7206 8407 10218 11921 15613 16814 23842 25221 31226 35763 46839 50442 71526 93678 109291 157331 218582 314662 327873 471993 655746 943986 1101317 2045303 2202634 3303951 4090606 6135909 6607902 12271818 14317121 28634242 42951363 85902726