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40596 = 22317199
BaseRepresentation
bin1001111010010100
32001200120
421322110
52244341
6511540
7226233
oct117224
961616
1040596
1128556
121b5b0
131562a
1410b1a
15c066
hex9e94

40596 has 24 divisors (see below), whose sum is σ = 100800. Its totient is φ = 12672.

The previous prime is 40591. The next prime is 40597. The reversal of 40596 is 69504.

40596 is nontrivially palindromic in base 9.

40596 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

40596 is an undulating number in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40591) by changing a digit.

40596 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105 + ... + 303.

It is an arithmetic number, because the mean of its divisors is an integer number (4200).

240596 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 40596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50400).

40596 is an abundant number, since it is smaller than the sum of its proper divisors (60204).

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

40596 is a wasteful number, since it uses less digits than its factorization.

40596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 40596 is about 201.4844907183. The cubic root of 40596 is about 34.3685398328.

It can be divided in two parts, 40 and 596, that added together give a palindrome (636).

The spelling of 40596 in words is "forty thousand, five hundred ninety-six".