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85813984 = 254165407
BaseRepresentation
bin1010001110101…
…10101011100000
312222110210122201
411013112223200
5133432021414
612303142544
72061256354
oct507265340
9188423581
1085813984
1144492353
12248a4a54
1314a17809
14b57b464
157801574
hex51d6ae0

85813984 has 24 divisors (see below), whose sum is σ = 173069568. Its totient is φ = 41859840.

The previous prime is 85813969. The next prime is 85813993. The reversal of 85813984 is 48931858.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 31392 + ... + 34015.

It is an arithmetic number, because the mean of its divisors is an integer number (7211232).

Almost surely, 285813984 is an apocalyptic number.

It is an amenable number.

85813984 is an abundant number, since it is smaller than the sum of its proper divisors (87255584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85813984 is a wasteful number, since it uses less digits than its factorization.

85813984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65458 (or 65450 counting only the distinct ones).

The product of its digits is 276480, while the sum is 46.

The square root of 85813984 is about 9263.5837557610. The cubic root of 85813984 is about 441.0820201789.

The spelling of 85813984 in words is "eighty-five million, eight hundred thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 65407 130814 261628 523256 1046512 2093024 2681687 5363374 10726748 21453496 42906992 85813984