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85426810 = 25743101281
BaseRepresentation
bin1010001011110…
…00001001111010
312221202010112221
411011320021322
5133332124220
612250554254
72055054520
oct505701172
9187663487
1085426810
1144248477
122473898a
1314910511
14b4ba310
1577769aa
hex517827a

85426810 has 64 divisors (see below), whose sum is σ = 182248704. Its totient is φ = 28224000.

The previous prime is 85426801. The next prime is 85426811. The reversal of 85426810 is 1862458.

It is a super-2 number, since 2×854268102 = 14595479733552200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (85426811) 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 31 ways as a sum of consecutive naturals, for example, 303870 + ... + 304150.

It is an arithmetic number, because the mean of its divisors is an integer number (2847636).

Almost surely, 285426810 is an apocalyptic number.

85426810 is an abundant number, since it is smaller than the sum of its proper divisors (96821894).

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

85426810 is a wasteful number, since it uses less digits than its factorization.

85426810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439.

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 85426810 is about 9242.6624951904. The cubic root of 85426810 is about 440.4176647061.

The spelling of 85426810 in words is "eighty-five million, four hundred twenty-six thousand, eight hundred ten".

Divisors: 1 2 5 7 10 14 35 43 70 86 101 202 215 281 301 430 505 562 602 707 1010 1405 1414 1505 1967 2810 3010 3535 3934 4343 7070 8686 9835 12083 19670 21715 24166 28381 30401 43430 56762 60415 60802 84581 120830 141905 152005 169162 198667 283810 304010 397334 422905 845810 993335 1220383 1986670 2440766 6101915 8542681 12203830 17085362 42713405 85426810