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85200311 = 717715969
BaseRepresentation
bin1010001010000…
…00110110110111
312221022121212002
411011000312313
5133302402221
612242045515
72053122260
oct505006667
9187277762
1085200311
1144103289
122464989b
13148613b1
14b45b967
15772e80b
hex5140db7

85200311 has 8 divisors (see below), whose sum is σ = 103099680. Its totient is φ = 68732928.

The previous prime is 85200301. The next prime is 85200317. The reversal of 85200311 is 11300258.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85200311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85200317) 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 7 ways as a sum of consecutive naturals, for example, 357866 + ... + 358103.

It is an arithmetic number, because the mean of its divisors is an integer number (12887460).

Almost surely, 285200311 is an apocalyptic number.

85200311 is a deficient number, since it is larger than the sum of its proper divisors (17899369).

85200311 is a wasteful number, since it uses less digits than its factorization.

85200311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715993.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 85200311 is about 9230.4014538914. The cubic root of 85200311 is about 440.0280818854.

Adding to 85200311 its reverse (11300258), we get a palindrome (96500569).

The spelling of 85200311 in words is "eighty-five million, two hundred thousand, three hundred eleven".

Divisors: 1 7 17 119 715969 5011783 12171473 85200311