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85526 = 2741149
BaseRepresentation
bin10100111000010110
311100022122
4110320112
510214101
61455542
7504230
oct247026
9140278
1085526
1159291
12415b2
132cc0c
1423250
151a51b
hex14e16

85526 has 16 divisors (see below), whose sum is σ = 151200. Its totient is φ = 35520.

The previous prime is 85523. The next prime is 85531. The reversal of 85526 is 62558.

85526 = T43 + T44 + ... + T83.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85495 and 85504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 500 + ... + 648.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

285526 is an apocalyptic number.

85526 is a deficient number, since it is larger than the sum of its proper divisors (65674).

85526 is a wasteful number, since it uses less digits than its factorization.

85526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199.

The product of its digits is 2400, while the sum is 26.

The square root of 85526 is about 292.4482860268. The cubic root of 85526 is about 44.0588056692.

It can be divided in two parts, 8552 and 6, that added together give a palindrome (8558).

The spelling of 85526 in words is "eighty-five thousand, five hundred twenty-six".

Divisors: 1 2 7 14 41 82 149 287 298 574 1043 2086 6109 12218 42763 85526