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36608 = 281113
BaseRepresentation
bin1000111100000000
31212012212
420330000
52132413
6441252
7211505
oct107400
955185
1036608
1125560
1219228
1313880
14d4ac
15aca8
hex8f00

36608 has 36 divisors (see below), whose sum is σ = 85848. Its totient is φ = 15360.

The previous prime is 36607. The next prime is 36629. The reversal of 36608 is 80663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2810 + ... + 2822.

236608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42924).

36608 is an abundant number, since it is smaller than the sum of its proper divisors (49240).

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

36608 is a wasteful number, since it uses less digits than its factorization.

36608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 36608 is about 191.3321718896. The cubic root of 36608 is about 33.2041220024.

Subtracting from 36608 its sum of digits (23), we obtain a triangular number (36585 = T270).

The spelling of 36608 in words is "thirty-six thousand, six hundred eight".