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85960541 = 195385363
BaseRepresentation
bin1010001111110…
…10011101011101
312222202020200202
411013322131131
5134001214131
612310233245
72062436552
oct507723535
9188666622
1085960541
1144582477
1224955825
1314a69434
14b5b8a29
15782ebcb
hex51fa75d

85960541 has 8 divisors (see below), whose sum is σ = 92193120. Its totient is φ = 79898832.

The previous prime is 85960487. The next prime is 85960547. The reversal of 85960541 is 14506958.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85960541 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85960495 and 85960504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85960547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41675 + ... + 43688.

It is an arithmetic number, because the mean of its divisors is an integer number (11524140).

Almost surely, 285960541 is an apocalyptic number.

It is an amenable number.

85960541 is a deficient number, since it is larger than the sum of its proper divisors (6232579).

85960541 is a wasteful number, since it uses less digits than its factorization.

85960541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85435.

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 85960541 is about 9271.4907647045. The cubic root of 85960541 is about 441.3329773036.

The spelling of 85960541 in words is "eighty-five million, nine hundred sixty thousand, five hundred forty-one".

Divisors: 1 19 53 1007 85363 1621897 4524239 85960541