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85348845 = 3259719553
BaseRepresentation
bin1010001011001…
…01000111101101
312221121011121100
411011211013231
5133322130340
612245153313
72054311311
oct505450755
9187534540
1085348845
11441a493a
12246bb839
13148b3b9a
14b499b41
15775d830
hex51651ed

85348845 has 24 divisors (see below), whose sum is σ = 149470776. Its totient is φ = 45047808.

The previous prime is 85348843. The next prime is 85348847. The reversal of 85348845 is 54884358.

85348845 = T334 + T335 + ... + T818.

It is an interprime number because it is at equal distance from previous prime (85348843) and next prime (85348847).

It can be written as a sum of positive squares in 4 ways, for example, as 18714276 + 66634569 = 4326^2 + 8163^2 .

It is not a de Polignac number, because 85348845 - 21 = 85348843 is a prime.

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 85348845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85348841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5412 + ... + 14141.

It is an arithmetic number, because the mean of its divisors is an integer number (6227949).

Almost surely, 285348845 is an apocalyptic number.

It is an amenable number.

85348845 is a deficient number, since it is larger than the sum of its proper divisors (64121931).

85348845 is a wasteful number, since it uses less digits than its factorization.

85348845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19661 (or 19658 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 85348845 is about 9238.4438624695. The cubic root of 85348845 is about 440.2836411504.

The spelling of 85348845 in words is "eighty-five million, three hundred forty-eight thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 45 97 291 485 873 1455 4365 19553 58659 97765 175977 293295 879885 1896641 5689923 9483205 17069769 28449615 85348845