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36008 = 237643
BaseRepresentation
bin1000110010101000
31211101122
420302220
52123013
6434412
7206660
oct106250
954348
1036008
1125065
1218a08
131350b
14d1a0
15aa08
hex8ca8

36008 has 16 divisors (see below), whose sum is σ = 77280. Its totient is φ = 15408.

The previous prime is 36007. The next prime is 36011. The reversal of 36008 is 80063.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (36007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 266 + ... + 377.

It is an arithmetic number, because the mean of its divisors is an integer number (4830).

236008 is an apocalyptic number.

It is an amenable number.

36008 is an abundant number, since it is smaller than the sum of its proper divisors (41272).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38640).

36008 is a wasteful number, since it uses less digits than its factorization.

36008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 36008 is about 189.7577402901. The cubic root of 36008 is about 33.0217181798.

The spelling of 36008 in words is "thirty-six thousand, eight".

Divisors: 1 2 4 7 8 14 28 56 643 1286 2572 4501 5144 9002 18004 36008