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85162545 = 32513145577
BaseRepresentation
bin1010001001101…
…11101000110001
312221020201001100
411010313220301
5133300200140
612241155013
72052604206
oct504675061
9187221040
1085162545
1144087976
122462ba69
131484a150
14b44bcad
157723530
hex5137a31

85162545 has 24 divisors (see below), whose sum is σ = 158971176. Its totient is φ = 41925888.

The previous prime is 85162529. The next prime is 85162577. The reversal of 85162545 is 54526158.

85162545 is a `hidden beast` number, since 8 + 51 + 62 + 545 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13133376 + 72029169 = 3624^2 + 8487^2 .

It is not a de Polignac number, because 85162545 - 24 = 85162529 is a prime.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 72204 + ... + 73373.

It is an arithmetic number, because the mean of its divisors is an integer number (6623799).

Almost surely, 285162545 is an apocalyptic number.

It is an amenable number.

85162545 is a deficient number, since it is larger than the sum of its proper divisors (73808631).

85162545 is a wasteful number, since it uses less digits than its factorization.

85162545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145601 (or 145598 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 85162545 is about 9228.3554873011. The cubic root of 85162545 is about 439.9630564712.

The spelling of 85162545 in words is "eighty-five million, one hundred sixty-two thousand, five hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 145577 436731 727885 1310193 1892501 2183655 5677503 6550965 9462505 17032509 28387515 85162545