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85270000 = 24548527
BaseRepresentation
bin1010001010100…
…01110111110000
312221110011110011
411011101313300
5133312120000
612243344304
72053532404
oct505216760
9187404404
1085270000
1144150682
1224682094
131488702a
14b479104
1577452ba
hex5151df0

85270000 has 50 divisors (see below), whose sum is σ = 206471408. Its totient is φ = 34104000.

The previous prime is 85269991. The next prime is 85270001. The reversal of 85270000 is 7258.

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85270001) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 5737 + ... + 14263.

Almost surely, 285270000 is an apocalyptic number.

85270000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103235704).

85270000 is an abundant number, since it is smaller than the sum of its proper divisors (121201408).

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

85270000 is an equidigital number, since it uses as much as digits as its factorization.

85270000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8555 (or 8534 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 85270000 is about 9234.1756535167. The cubic root of 85270000 is about 440.1480218233.

Adding to 85270000 its reverse (7258), we get a palindrome (85277258).

The spelling of 85270000 in words is "eighty-five million, two hundred seventy thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 8527 10000 17054 34108 42635 68216 85270 136432 170540 213175 341080 426350 682160 852700 1065875 1705400 2131750 3410800 4263500 5329375 8527000 10658750 17054000 21317500 42635000 85270000