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85563756 = 2233792257
BaseRepresentation
bin1010001100110…
…01100101101100
312222000002102000
411012121211230
5133401020011
612253532300
72056165005
oct506314554
9188002360
1085563756
1144331353
12247a4090
131495a955
14b5141ac
1577a2356
hex519996c

85563756 has 24 divisors (see below), whose sum is σ = 221832240. Its totient is φ = 28521216.

The previous prime is 85563743. The next prime is 85563763. The reversal of 85563756 is 65736558.

85563756 is a `hidden beast` number, since 8 + 5 + 5 + 637 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 396021 + ... + 396236.

It is an arithmetic number, because the mean of its divisors is an integer number (9243010).

Almost surely, 285563756 is an apocalyptic number.

It is an amenable number.

85563756 is an abundant number, since it is smaller than the sum of its proper divisors (136268484).

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

85563756 is a wasteful number, since it uses less digits than its factorization.

85563756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792270 (or 792262 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 85563756 is about 9250.0678916427. The cubic root of 85563756 is about 440.6528806260.

The spelling of 85563756 in words is "eighty-five million, five hundred sixty-three thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 792257 1584514 2376771 3169028 4753542 7130313 9507084 14260626 21390939 28521252 42781878 85563756