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85444044 = 2237320759
BaseRepresentation
bin1010001011111…
…00010111001100
312221210000012020
411011330113030
5133333202134
612251210140
72055156000
oct505742714
9187700166
1085444044
114425a414
1224746950
131491830a
14b4c2700
15777bb49
hex517c5cc

85444044 has 48 divisors (see below), whose sum is σ = 232512000. Its totient is φ = 24411408.

The previous prime is 85444043. The next prime is 85444049. The reversal of 85444044 is 44044458.

It is a junction number, because it is equal to n+sod(n) for n = 85443996 and 85444014.

It is not an unprimeable number, because it can be changed into a prime (85444043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6264 + ... + 14495.

It is an arithmetic number, because the mean of its divisors is an integer number (4844000).

Almost surely, 285444044 is an apocalyptic number.

85444044 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85444044 is an abundant number, since it is smaller than the sum of its proper divisors (147067956).

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

85444044 is a wasteful number, since it uses less digits than its factorization.

85444044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20787 (or 20771 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 33.

The square root of 85444044 is about 9243.5947552887. The cubic root of 85444044 is about 440.4472793266.

The spelling of 85444044 in words is "eighty-five million, four hundred forty-four thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 4116 20759 41518 62277 83036 124554 145313 249108 290626 435939 581252 871878 1017191 1743756 2034382 3051573 4068764 6103146 7120337 12206292 14240674 21361011 28481348 42722022 85444044