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85216537 = 729717929
BaseRepresentation
bin1010001010001…
…00110100011001
312221100110010001
411011010310121
5133303412122
612242253001
72053220500
oct505046431
9187313101
1085216537
114411449a
1224657161
13148688b3
14b463837
157734527
hex5144d19

85216537 has 12 divisors (see below), whose sum is σ = 100156980. Its totient is φ = 72285696.

The previous prime is 85216531. The next prime is 85216567. The reversal of 85216537 is 73561258.

It can be written as a sum of positive squares in 2 ways, for example, as 42653961 + 42562576 = 6531^2 + 6524^2 .

It is a de Polignac number, because none of the positive numbers 2k-85216537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85216496 and 85216505.

It is not an unprimeable number, because it can be changed into a prime (85216531) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4212 + ... + 13717.

It is an arithmetic number, because the mean of its divisors is an integer number (8346415).

Almost surely, 285216537 is an apocalyptic number.

It is an amenable number.

85216537 is a deficient number, since it is larger than the sum of its proper divisors (14940443).

85216537 is a wasteful number, since it uses less digits than its factorization.

85216537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18040 (or 18033 counting only the distinct ones).

The product of its digits is 50400, while the sum is 37.

The square root of 85216537 is about 9231.2803554003. The cubic root of 85216537 is about 440.0560138744.

The spelling of 85216537 in words is "eighty-five million, two hundred sixteen thousand, five hundred thirty-seven".

Divisors: 1 7 49 97 679 4753 17929 125503 878521 1739113 12173791 85216537