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85602168 = 23324612579
BaseRepresentation
bin1010001101000…
…10111101111000
312222002001002200
411012202331320
5133403232133
612254430200
72056415001
oct506427570
9188061080
1085602168
11443581a3
1224802360
1314972292
14b5241a8
1577ad913
hex51a2f78

85602168 has 48 divisors (see below), whose sum is σ = 232432200. Its totient is φ = 28461120.

The previous prime is 85602161. The next prime is 85602197. The reversal of 85602168 is 86120658.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

85602168 is a modest number, since divided by 2168 gives 856 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85602161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31903 + ... + 34481.

Almost surely, 285602168 is an apocalyptic number.

It is an amenable number.

85602168 is an abundant number, since it is smaller than the sum of its proper divisors (146830032).

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

85602168 is a wasteful number, since it uses less digits than its factorization.

85602168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 85602168 is about 9252.1439677515. The cubic root of 85602168 is about 440.7188112917.

It can be divided in two parts, 85 and 602168, that added together give a triangular number (602253 = T1097).

The spelling of 85602168 in words is "eighty-five million, six hundred two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 461 922 1383 1844 2579 2766 3688 4149 5158 5532 7737 8298 10316 11064 15474 16596 20632 23211 30948 33192 46422 61896 92844 185688 1188919 2377838 3566757 4755676 7133514 9511352 10700271 14267028 21400542 28534056 42801084 85602168