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85528305 = 345223947
BaseRepresentation
bin1010001100100…
…00111011110001
312221221021210000
411012100323301
5133343401210
612253100213
72055656442
oct506207361
9187837700
1085528305
1144307755
1224787669
1314947785
14b5052c9
157796ac0
hex5190ef1

85528305 has 40 divisors (see below), whose sum is σ = 154167552. Its totient is φ = 45362592.

The previous prime is 85528243. The next prime is 85528307. The reversal of 85528305 is 50382558.

It is not a de Polignac number, because 85528305 - 211 = 85526257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85528305.

It is not an unprimeable number, because it can be changed into a prime (85528307) 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 39 ways as a sum of consecutive naturals, for example, 89842 + ... + 90788.

Almost surely, 285528305 is an apocalyptic number.

It is an amenable number.

85528305 is a deficient number, since it is larger than the sum of its proper divisors (68639247).

85528305 is a wasteful number, since it uses less digits than its factorization.

85528305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 85528305 is about 9248.1514369089. The cubic root of 85528305 is about 440.5920147331.

The spelling of 85528305 in words is "eighty-five million, five hundred twenty-eight thousand, three hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 223 405 669 947 1115 2007 2841 3345 4735 6021 8523 10035 14205 18063 25569 30105 42615 76707 90315 127845 211181 383535 633543 1055905 1900629 3167715 5701887 9503145 17105661 28509435 85528305