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85642533 = 329515837
BaseRepresentation
bin1010001101011…
…00110100100101
312222011002110200
411012230310211
5133411030113
612255341113
72056643454
oct506546445
9188132420
1085642533
1144385559
1224821799
1314987772
14b534b9b
1577ba873
hex51acd25

85642533 has 6 divisors (see below), whose sum is σ = 123705894. Its totient is φ = 57095016.

The previous prime is 85642523. The next prime is 85642537. The reversal of 85642533 is 33524658.

It is a happy number.

85642533 is a `hidden beast` number, since 8 + 5 + 642 + 5 + 3 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73925604 + 11716929 = 8598^2 + 3423^2 .

It is not a de Polignac number, because 85642533 - 29 = 85642021 is a prime.

It is a super-3 number, since 3×856425333 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85642537) by changing a digit.

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, 4757910 + ... + 4757927.

It is an arithmetic number, because the mean of its divisors is an integer number (20617649).

Almost surely, 285642533 is an apocalyptic number.

It is an amenable number.

85642533 is a deficient number, since it is larger than the sum of its proper divisors (38063361).

85642533 is a wasteful number, since it uses less digits than its factorization.

85642533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9515843 (or 9515840 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 85642533 is about 9254.3250969479. The cubic root of 85642533 is about 440.7880728528.

The spelling of 85642533 in words is "eighty-five million, six hundred forty-two thousand, five hundred thirty-three".

Divisors: 1 3 9 9515837 28547511 85642533