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85123008 = 263349261
BaseRepresentation
bin1010001001011…
…01111111000000
312221011200211000
411010231333000
5133242414013
612240252000
72052351015
oct504557700
9187150730
1085123008
11440601a3
1224611000
1314835159
14b43b70c
157716973
hex512dfc0

85123008 has 56 divisors (see below), whose sum is σ = 250250960. Its totient is φ = 28373760.

The previous prime is 85123007. The next prime is 85123043. The reversal of 85123008 is 80032158.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85123007) 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 7 ways as a sum of consecutive naturals, for example, 22903 + ... + 26358.

Almost surely, 285123008 is an apocalyptic number.

It is an amenable number.

85123008 is an abundant number, since it is smaller than the sum of its proper divisors (165127952).

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

85123008 is a wasteful number, since it uses less digits than its factorization.

85123008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49282 (or 49266 counting only the distinct ones).

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

The square root of 85123008 is about 9226.2130909707. The cubic root of 85123008 is about 439.8949611525.

The spelling of 85123008 in words is "eighty-five million, one hundred twenty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 49261 98522 147783 197044 295566 394088 443349 591132 788176 886698 1182264 1330047 1576352 1773396 2364528 2660094 3152704 3546792 4729056 5320188 7093584 9458112 10640376 14187168 21280752 28374336 42561504 85123008