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85856477 = 7217103069
BaseRepresentation
bin1010001111000…
…01000011011101
312222112221221112
411013201003131
5133434401402
612304111405
72061524300
oct507410335
9188487845
1085856477
1144511273
1224905565
1314a30c65
14b58cb37
15780de52
hex51e10dd

85856477 has 12 divisors (see below), whose sum is σ = 105749820. Its totient is φ = 69261696.

The previous prime is 85856473. The next prime is 85856503. The reversal of 85856477 is 77465858.

It can be written as a sum of positive squares in 2 ways, for example, as 70324996 + 15531481 = 8386^2 + 3941^2 .

It is not a de Polignac number, because 85856477 - 22 = 85856473 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 (85856473) 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 11 ways as a sum of consecutive naturals, for example, 50702 + ... + 52367.

It is an arithmetic number, because the mean of its divisors is an integer number (8812485).

Almost surely, 285856477 is an apocalyptic number.

It is an amenable number.

85856477 is a deficient number, since it is larger than the sum of its proper divisors (19893343).

85856477 is a wasteful number, since it uses less digits than its factorization.

85856477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103100 (or 103093 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 50.

The square root of 85856477 is about 9265.8770227108. The cubic root of 85856477 is about 441.1548125319.

The spelling of 85856477 in words is "eighty-five million, eight hundred fifty-six thousand, four hundred seventy-seven".

Divisors: 1 7 17 49 119 833 103069 721483 1752173 5050381 12265211 85856477