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85833336 = 23319414591
BaseRepresentation
bin1010001110110…
…11011001111000
312222111210012110
411013123121320
5133433131321
612303412320
72061366651
oct507333170
9188453173
1085833336
11444a5946
12248b40a0
1314a23574
14b584528
157807176
hex51db678

85833336 has 64 divisors (see below), whose sum is σ = 231436800. Its totient is φ = 26438400.

The previous prime is 85833329. The next prime is 85833337. The reversal of 85833336 is 63333858.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 85833294 and 85833303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85833337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16401 + ... + 20991.

It is an arithmetic number, because the mean of its divisors is an integer number (3616200).

Almost surely, 285833336 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 85833336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115718400).

85833336 is an abundant number, since it is smaller than the sum of its proper divisors (145603464).

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

85833336 is a wasteful number, since it uses less digits than its factorization.

85833336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4660 (or 4656 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 85833336 is about 9264.6282170414. The cubic root of 85833336 is about 441.1151739738.

The spelling of 85833336 in words is "eighty-five million, eight hundred thirty-three thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 41 57 76 82 114 123 152 164 228 246 328 456 492 779 984 1558 2337 3116 4591 4674 6232 9182 9348 13773 18364 18696 27546 36728 55092 87229 110184 174458 188231 261687 348916 376462 523374 564693 697832 752924 1046748 1129386 1505848 2093496 2258772 3576389 4517544 7152778 10729167 14305556 21458334 28611112 42916668 85833336