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85947012 = 22322387417
BaseRepresentation
bin1010001111101…
…11001010000100
312222201120010200
411013313022010
5134000301022
612310050500
72062352244
oct507671204
9188646120
1085947012
1144573298
1224949a30
1314a63228
14b5b3b24
15782abac
hex51f7284

85947012 has 18 divisors (see below), whose sum is σ = 217255038. Its totient is φ = 28648992.

The previous prime is 85947007. The next prime is 85947031. The reversal of 85947012 is 21074958.

It can be written as a sum of positive squares in only one way, i.e., 85821696 + 125316 = 9264^2 + 354^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2387417 = 85947012 / (8 + 5 + 9 + 4 + 7 + 0 + 1 + 2).

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 5 ways as a sum of consecutive naturals, for example, 1193673 + ... + 1193744.

Almost surely, 285947012 is an apocalyptic number.

It is an amenable number.

85947012 is an abundant number, since it is smaller than the sum of its proper divisors (131308026).

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

85947012 is a wasteful number, since it uses less digits than its factorization.

85947012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387427 (or 2387422 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 85947012 is about 9270.7611338013. The cubic root of 85947012 is about 441.3098228537.

The spelling of 85947012 in words is "eighty-five million, nine hundred forty-seven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2387417 4774834 7162251 9549668 14324502 21486753 28649004 42973506 85947012