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8001985 = 517472003
BaseRepresentation
bin11110100001100111000001
3120001112122211
4132201213001
54022030420
6443302121
7125005255
oct36414701
916045584
108001985
114576012
12281a941
131872304
1410c4265
15a80e5a
hex7a19c1

8001985 has 16 divisors (see below), whose sum is σ = 10388736. Its totient is φ = 5893888.

The previous prime is 8001971. The next prime is 8001991. The reversal of 8001985 is 5891008.

It is a cyclic number.

It is not a de Polignac number, because 8001985 - 27 = 8001857 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2994 + ... + 4996.

It is an arithmetic number, because the mean of its divisors is an integer number (649296).

Almost surely, 28001985 is an apocalyptic number.

8001985 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8001985 is a deficient number, since it is larger than the sum of its proper divisors (2386751).

8001985 is a wasteful number, since it uses less digits than its factorization.

8001985 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 2880, while the sum is 31.

The square root of 8001985 is about 2828.7780047222. The cubic root of 8001985 is about 200.0165402987.

The spelling of 8001985 in words is "eight million, one thousand, nine hundred eighty-five".

Divisors: 1 5 17 47 85 235 799 2003 3995 10015 34051 94141 170255 470705 1600397 8001985