45936 has 60 divisors (see below), whose sum is σ = 145080. Its totient is φ = 13440.
The previous prime is 45893. The next prime is 45943. The reversal of 45936 is 63954.
It is a happy number.
45936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×459362 = 4220232192, which contains 22 as substring.
It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.
Its product of digits (3240) is a multiple of the sum of its prime divisors (45).
It is a congruent number.
It is an unprimeable number.
45936 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 11 ways as a sum of consecutive naturals, for example, 1570 + ... + 1598.
It is an arithmetic number, because the mean of its divisors is an integer number (2418).
245936 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 45936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72540).
45936 is an abundant number, since it is smaller than the sum of its proper divisors (99144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45936 is a wasteful number, since it uses less digits than its factorization.
45936 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 54 (or 45 counting only the distinct ones).
The product of its digits is 3240, while the sum is 27.
The square root of 45936 is about 214.3268531939. The cubic root of 45936 is about 35.8138539641.
The spelling of 45936 in words is "forty-five thousand, nine hundred thirty-six".
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