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85003812 = 22323536689
BaseRepresentation
bin1010001000100…
…00111000100100
312220221122022100
411010100320210
5133230110222
612233532100
72051343345
oct504207044
9186848270
1085003812
1143a89693
1224574030
13147c2b1a
14b40a0cc
1576e14ac
hex5110e24

85003812 has 36 divisors (see below), whose sum is σ = 215511660. Its totient is φ = 28250112.

The previous prime is 85003801. The next prime is 85003813. The reversal of 85003812 is 21830058.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 53934336 + 31069476 = 7344^2 + 5574^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (85003813) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9364 + ... + 16052.

It is an arithmetic number, because the mean of its divisors is an integer number (5986435).

Almost surely, 285003812 is an apocalyptic number.

It is an amenable number.

85003812 is an abundant number, since it is smaller than the sum of its proper divisors (130507848).

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

85003812 is a wasteful number, since it uses less digits than its factorization.

85003812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7052 (or 7047 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 85003812 is about 9219.7511897014. The cubic root of 85003812 is about 439.6895399469.

The spelling of 85003812 in words is "eighty-five million, three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 353 706 1059 1412 2118 3177 4236 6354 6689 12708 13378 20067 26756 40134 60201 80268 120402 240804 2361217 4722434 7083651 9444868 14167302 21250953 28334604 42501906 85003812