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85849071 = 3711596299
BaseRepresentation
bin1010001110111…
…11001111101111
312222112120210020
411013133033233
5133434132241
612304013223
72061463560
oct507371757
9188476706
1085849071
1144506750
1224901213
1314a2a789
14b58a167
15780bb66
hex51df3ef

85849071 has 32 divisors (see below), whose sum is σ = 145152000. Its totient is φ = 43834080.

The previous prime is 85849069. The next prime is 85849073. The reversal of 85849071 is 17094858.

It is an interprime number because it is at equal distance from previous prime (85849069) and next prime (85849073).

It is not a de Polignac number, because 85849071 - 21 = 85849069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85849073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10480 + ... + 16778.

It is an arithmetic number, because the mean of its divisors is an integer number (4536000).

Almost surely, 285849071 is an apocalyptic number.

85849071 is a deficient number, since it is larger than the sum of its proper divisors (59302929).

85849071 is a wasteful number, since it uses less digits than its factorization.

85849071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6379.

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 85849071 is about 9265.4773757211. The cubic root of 85849071 is about 441.1421274610.

The spelling of 85849071 in words is "eighty-five million, eight hundred forty-nine thousand, seventy-one".

Divisors: 1 3 7 11 21 33 59 77 177 231 413 649 1239 1947 4543 6299 13629 18897 44093 69289 132279 207867 371641 485023 1114923 1455069 2601487 4088051 7804461 12264153 28616357 85849071