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85932539 = 7112921327
BaseRepresentation
bin1010001111100…
…11100111111011
312222200211021122
411013303213323
5133444320124
612305455455
72062262120
oct507634773
9188624248
1085932539
1144563430
122494158b
1314a59774
14b5ac747
15782675e
hex51f39fb

85932539 has 24 divisors (see below), whose sum is σ = 111042048. Its totient is φ = 64602720.

The previous prime is 85932523. The next prime is 85932541. The reversal of 85932539 is 93523958.

It is not a de Polignac number, because 85932539 - 24 = 85932523 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 85932539.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85932139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64094 + ... + 65420.

It is an arithmetic number, because the mean of its divisors is an integer number (4626752).

Almost surely, 285932539 is an apocalyptic number.

85932539 is a deficient number, since it is larger than the sum of its proper divisors (25109509).

85932539 is a wasteful number, since it uses less digits than its factorization.

85932539 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1374 counting only the distinct ones).

The product of its digits is 291600, while the sum is 44.

The square root of 85932539 is about 9269.9805285664. The cubic root of 85932539 is about 441.2850500878.

The spelling of 85932539 in words is "eighty-five million, nine hundred thirty-two thousand, five hundred thirty-nine".

Divisors: 1 7 11 29 77 203 319 841 1327 2233 5887 9251 9289 14597 38483 64757 102179 269381 423313 1116007 2963191 7812049 12276077 85932539