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85814468 = 2243494933
BaseRepresentation
bin1010001110101…
…10110011000100
312222110211022122
411013112303010
5133432030333
612303145112
72061260645
oct507266304
9188424278
1085814468
1144492753
12248a5198
1314a17abc
14b57b6cc
157801798
hex51d6cc4

85814468 has 12 divisors (see below), whose sum is σ = 150240300. Its totient is φ = 42888672.

The previous prime is 85814467. The next prime is 85814513. The reversal of 85814468 is 86441858.

It can be written as a sum of positive squares in 2 ways, for example, as 11303044 + 74511424 = 3362^2 + 8632^2 .

It is a super-3 number, since 3×858144683 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (85814467) 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 3 ways as a sum of consecutive naturals, for example, 14930 + ... + 19862.

It is an arithmetic number, because the mean of its divisors is an integer number (12520025).

Almost surely, 285814468 is an apocalyptic number.

It is an amenable number.

85814468 is a deficient number, since it is larger than the sum of its proper divisors (64425832).

85814468 is a wasteful number, since it uses less digits than its factorization.

85814468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9286 (or 9284 counting only the distinct ones).

The product of its digits is 245760, while the sum is 44.

The square root of 85814468 is about 9263.6098795232. The cubic root of 85814468 is about 441.0828494271.

The spelling of 85814468 in words is "eighty-five million, eight hundred fourteen thousand, four hundred sixty-eight".

Divisors: 1 2 4 4349 4933 8698 9866 17396 19732 21453617 42907234 85814468