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45366 = 237561

45366 has 8 divisors (see below), whose sum is σ = 90744. Its totient is φ = 15120.

The previous prime is 45361. The next prime is 45377. The reversal of 45366 is 66354.

45366 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

45366 is an admirable number.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45361) 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, 3775 + ... + 3786.

It is an arithmetic number, because the mean of its divisors is an integer number (11343).

45366 is a Friedman number, since it can be written as 6+35*6^4, using all its digits and the basic arithmetic operations.

245366 is an apocalyptic number.

45366 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (45372).

45366 is a wasteful number, since it uses less digits than its factorization.

45366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7566.

The product of its digits is 2160, while the sum is 24.

The square root of 45366 is about 212.9929576301. The cubic root of 45366 is about 35.6651041134.

The spelling of 45366 in words is "forty-five thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7561 15122 22683 45366