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85684544 = 2611121711
BaseRepresentation
bin1010001101101…
…11000101000000
312222020020002122
411012313011000
5133413401134
612300303412
72060210111
oct506670500
9188206078
1085684544
1144404080
1224841b68
13149a091a
14b546208
1577c802e
hex51b7140

85684544 has 28 divisors (see below), whose sum is σ = 185489088. Its totient is φ = 38947200.

The previous prime is 85684523. The next prime is 85684561. The reversal of 85684544 is 44548658.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 85684495 and 85684504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60152 + ... + 61559.

Almost surely, 285684544 is an apocalyptic number.

It is an amenable number.

85684544 is an abundant number, since it is smaller than the sum of its proper divisors (99804544).

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

85684544 is a wasteful number, since it uses less digits than its factorization.

85684544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121734 (or 121724 counting only the distinct ones).

The product of its digits is 614400, while the sum is 44.

The square root of 85684544 is about 9256.5946222139. The cubic root of 85684544 is about 440.8601356468.

The spelling of 85684544 in words is "eighty-five million, six hundred eighty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 121711 243422 486844 973688 1338821 1947376 2677642 3894752 5355284 7789504 10710568 21421136 42842272 85684544