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86216850 = 23252414673
BaseRepresentation
bin1010010001110…
…01000010010010
320000020021021200
411020321002102
5134032414400
612315532030
72064555036
oct510710222
9200207250
1086216850
1144737aa5
1224a5a016
1314b28cb5
14b6441c6
157880b00
hex5239092

86216850 has 72 divisors (see below), whose sum is σ = 237336372. Its totient is φ = 22425600.

The previous prime is 86216833. The next prime is 86216861. The reversal of 86216850 is 5861268.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 31708161 + 54508689 = 5631^2 + 7383^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16114 + ... + 20786.

Almost surely, 286216850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86216850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118668186).

86216850 is an abundant number, since it is smaller than the sum of its proper divisors (151119522).

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

86216850 is a wasteful number, since it uses less digits than its factorization.

86216850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4732 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 86216850 is about 9285.3029029752. The cubic root of 86216850 is about 441.7711836823.

The spelling of 86216850 in words is "eighty-six million, two hundred sixteen thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 150 205 225 246 369 410 450 615 738 1025 1230 1845 2050 3075 3690 4673 6150 9225 9346 14019 18450 23365 28038 42057 46730 70095 84114 116825 140190 191593 210285 233650 350475 383186 420570 574779 700950 957965 1051425 1149558 1724337 1915930 2102850 2873895 3448674 4789825 5747790 8621685 9579650 14369475 17243370 28738950 43108425 86216850