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86694500 = 2253414229
BaseRepresentation
bin1010010101011…
…01101001100100
320001010112111102
411022231221210
5134143211000
612334055232
72101614434
oct512555144
9201115442
1086694500
1144a33952
122504a518
1314c65529
14b72a2c4
1579273d5
hex52ada64

86694500 has 48 divisors (see below), whose sum is σ = 194004720. Its totient is φ = 33824000.

The previous prime is 86694497. The next prime is 86694539. The reversal of 86694500 is 549668.

It can be written as a sum of positive squares in 8 ways, for example, as 21827584 + 64866916 = 4672^2 + 8054^2 .

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 15 ways as a sum of consecutive naturals, for example, 18386 + ... + 22614.

It is an arithmetic number, because the mean of its divisors is an integer number (4041765).

Almost surely, 286694500 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 86694500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97002360).

86694500 is an abundant number, since it is smaller than the sum of its proper divisors (107310220).

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

86694500 is a wasteful number, since it uses less digits than its factorization.

86694500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4289 (or 4277 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 86694500 is about 9310.9881323091. The cubic root of 86694500 is about 442.5855006243.

The spelling of 86694500 in words is "eighty-six million, six hundred ninety-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 125 164 205 250 410 500 820 1025 2050 4100 4229 5125 8458 10250 16916 20500 21145 42290 84580 105725 173389 211450 346778 422900 528625 693556 866945 1057250 1733890 2114500 3467780 4334725 8669450 17338900 21673625 43347250 86694500