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85158675 = 3352767269
BaseRepresentation
bin1010001001101…
…10101100010011
312221020111202000
411010312230103
5133300034200
612241125043
72052560010
oct504665423
9187214660
1085158675
1144084a78
1224629783
1314848464
14b44a707
157722300
hex5136b13

85158675 has 96 divisors (see below), whose sum is σ = 182131200. Its totient is φ = 38206080.

The previous prime is 85158659. The next prime is 85158677. The reversal of 85158675 is 57685158.

It is not a de Polignac number, because 85158675 - 24 = 85158659 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 85158675.

It is not an unprimeable number, because it can be changed into a prime (85158677) 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 95 ways as a sum of consecutive naturals, for example, 316441 + ... + 316709.

It is an arithmetic number, because the mean of its divisors is an integer number (1897200).

Almost surely, 285158675 is an apocalyptic number.

85158675 is an abundant number, since it is smaller than the sum of its proper divisors (96972525).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85158675 is a wasteful number, since it uses less digits than its factorization.

85158675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 351 counting only the distinct ones).

The product of its digits is 336000, while the sum is 45.

The square root of 85158675 is about 9228.1458050900. The cubic root of 85158675 is about 439.9563920281.

The spelling of 85158675 in words is "eighty-five million, one hundred fifty-eight thousand, six hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 67 75 105 135 175 189 201 225 269 315 335 469 525 603 675 807 945 1005 1345 1407 1575 1675 1809 1883 2345 2421 3015 4035 4221 4725 5025 5649 6725 7035 7263 9045 9415 11725 12105 12663 15075 16947 18023 20175 21105 28245 35175 36315 45225 47075 50841 54069 60525 63315 84735 90115 105525 126161 141225 162207 181575 254205 270345 316575 378483 423675 450575 486621 630805 811035 1135449 1271025 1351725 1892415 2433105 3154025 3406347 4055175 5677245 9462075 12165525 17031735 28386225 85158675