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85583871 = 3739133
BaseRepresentation
bin1010001100111…
…10011111111111
312222001010000000
411012132133333
5133402140441
612254205343
72056310442
oct506363777
9188033000
1085583871
114434547a
12247b3853
1314966b59
14b51b659
1577a82b6
hex519e7ff

85583871 has 16 divisors (see below), whose sum is σ = 128359520. Its totient is φ = 57054456.

The previous prime is 85583867. The next prime is 85583881. The reversal of 85583871 is 17838558.

It is a happy number.

It is not a de Polignac number, because 85583871 - 22 = 85583867 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 (85583801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17380 + ... + 21753.

It is an arithmetic number, because the mean of its divisors is an integer number (8022470).

Almost surely, 285583871 is an apocalyptic number.

85583871 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

85583871 is a deficient number, since it is larger than the sum of its proper divisors (42775649).

85583871 is an frugal number, since it uses more digits than its factorization.

85583871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39154 (or 39136 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The square root of 85583871 is about 9251.1551170651. The cubic root of 85583871 is about 440.6874086342.

The spelling of 85583871 in words is "eighty-five million, five hundred eighty-three thousand, eight hundred seventy-one".

Divisors: 1 3 9 27 81 243 729 2187 39133 117399 352197 1056591 3169773 9509319 28527957 85583871