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85216296 = 23311595471
BaseRepresentation
bin1010001010001…
…00110000101000
312221100102210010
411011010300220
5133303410141
612242251520
72053220004
oct505046050
9187312703
1085216296
11441142a0
1224656ba0
1314868759
14b463704
157734416
hex5144c28

85216296 has 64 divisors (see below), whose sum is σ = 236390400. Its totient is φ = 25380800.

The previous prime is 85216283. The next prime is 85216301. The reversal of 85216296 is 69261258.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12841 + ... + 18311.

It is an arithmetic number, because the mean of its divisors is an integer number (3693600).

Almost surely, 285216296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85216296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118195200).

85216296 is an abundant number, since it is smaller than the sum of its proper divisors (151174104).

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

85216296 is a wasteful number, since it uses less digits than its factorization.

85216296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550 (or 5546 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 85216296 is about 9231.2673019472. The cubic root of 85216296 is about 440.0555990347.

It can be divided in two parts, 852162 and 96, that added together give a palindrome (852258).

The spelling of 85216296 in words is "eighty-five million, two hundred sixteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 88 118 132 177 236 264 354 472 649 708 1298 1416 1947 2596 3894 5192 5471 7788 10942 15576 16413 21884 32826 43768 60181 65652 120362 131304 180543 240724 322789 361086 481448 645578 722172 968367 1291156 1444344 1936734 2582312 3550679 3873468 7101358 7746936 10652037 14202716 21304074 28405432 42608148 85216296