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85841280 = 2732572129
BaseRepresentation
bin1010001110111…
…01010110000000
312222112012002200
411013131112000
5133433410110
612303513200
72061432060
oct507352600
9188465080
1085841280
1144500908
12248b8800
1314a27075
14b5873a0
1578096c0
hex51dd580

85841280 has 192 divisors, whose sum is σ = 338925600. Its totient is φ = 19611648.

The previous prime is 85841269. The next prime is 85841299. The reversal of 85841280 is 8214858.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39256 + ... + 41384.

Almost surely, 285841280 is an apocalyptic number.

85841280 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 85841280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169462800).

85841280 is an abundant number, since it is smaller than the sum of its proper divisors (253084320).

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

85841280 is a wasteful number, since it uses less digits than its factorization.

85841280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 85841280 is about 9265.0569345256. The cubic root of 85841280 is about 441.1287821709.

The spelling of 85841280 in words is "eighty-five million, eight hundred forty-one thousand, two hundred eighty".