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85038821 = 7431511871
BaseRepresentation
bin1010001000110…
…01011011100101
312221000102022222
411010121123211
5133232220241
612234402125
72051550410
oct504313345
9187012288
1085038821
1144002a1a
1224590345
1314805a3a
14b418b77
1576eba4b
hex51196e5

85038821 has 16 divisors (see below), whose sum is σ = 100159488. Its totient is φ = 70686000.

The previous prime is 85038809. The next prime is 85038823. The reversal of 85038821 is 12883058.

It is not a de Polignac number, because 85038821 - 218 = 84776677 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 (85038823) 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 15 ways as a sum of consecutive naturals, for example, 44516 + ... + 46386.

It is an arithmetic number, because the mean of its divisors is an integer number (6259968).

Almost surely, 285038821 is an apocalyptic number.

It is an amenable number.

85038821 is a deficient number, since it is larger than the sum of its proper divisors (15120667).

85038821 is a wasteful number, since it uses less digits than its factorization.

85038821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072.

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 85038821 is about 9221.6495812843. The cubic root of 85038821 is about 439.7498940180.

The spelling of 85038821 in words is "eighty-five million, thirty-eight thousand, eight hundred twenty-one".

Divisors: 1 7 43 151 301 1057 1871 6493 13097 45451 80453 282521 563171 1977647 12148403 85038821