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85826256 = 2434394073
BaseRepresentation
bin1010001110110…
…01101011010000
312222111102111020
411013121223100
5133432420011
612303315440
72061340215
oct507315320
9188442436
1085826256
11444a059a
12248abb80
1314a20289
14b581b0c
157805006
hex51d9ad0

85826256 has 40 divisors (see below), whose sum is σ = 222277440. Its totient is φ = 28536576.

The previous prime is 85826231. The next prime is 85826261. The reversal of 85826256 is 65262858.

It is a super-2 number, since 2×858262562 = 14732292437955072, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 19036 + ... + 23108.

It is an arithmetic number, because the mean of its divisors is an integer number (5556936).

Almost surely, 285826256 is an apocalyptic number.

It is an amenable number.

85826256 is an abundant number, since it is smaller than the sum of its proper divisors (136451184).

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

85826256 is a wasteful number, since it uses less digits than its factorization.

85826256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4523 (or 4517 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 85826256 is about 9264.2461107205. The cubic root of 85826256 is about 441.1030451148.

The spelling of 85826256 in words is "eighty-five million, eight hundred twenty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 439 878 1317 1756 2634 3512 4073 5268 7024 8146 10536 12219 16292 21072 24438 32584 48876 65168 97752 195504 1788047 3576094 5364141 7152188 10728282 14304376 21456564 28608752 42913128 85826256