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85352660 = 22516692557
BaseRepresentation
bin1010001011001…
…10000011010100
312221121100211122
411011212003110
5133322241120
612245223112
72054325401
oct505460324
9187540748
1085352660
11441a7798
1224701a98
13148b5843
14b49b2a8
15775ea25
hex51660d4

85352660 has 24 divisors (see below), whose sum is σ = 179418120. Its totient is φ = 34107264.

The previous prime is 85352647. The next prime is 85352669. The reversal of 85352660 is 6625358.

It can be written as a sum of positive squares in 4 ways, for example, as 7595536 + 77757124 = 2756^2 + 8818^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 85352660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85352669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32102 + ... + 34658.

It is an arithmetic number, because the mean of its divisors is an integer number (7475755).

Almost surely, 285352660 is an apocalyptic number.

It is an amenable number.

85352660 is an abundant number, since it is smaller than the sum of its proper divisors (94065460).

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

85352660 is a wasteful number, since it uses less digits than its factorization.

85352660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4235 (or 4233 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 85352660 is about 9238.6503343291. The cubic root of 85352660 is about 440.2902011183.

The spelling of 85352660 in words is "eighty-five million, three hundred fifty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 1669 2557 3338 5114 6676 8345 10228 12785 16690 25570 33380 51140 4267633 8535266 17070532 21338165 42676330 85352660