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45228 = 2233769
BaseRepresentation
bin1011000010101100
32022001010
423002230
52421403
6545220
7245601
oct130254
968033
1045228
1130a87
1222210
1317781
14126a8
15d603
hexb0ac

45228 has 12 divisors (see below), whose sum is σ = 105560. Its totient is φ = 15072.

The previous prime is 45197. The next prime is 45233. The reversal of 45228 is 82254.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nialpdrome in base 12.

It is an unprimeable number.

45228 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1873 + ... + 1896.

245228 is an apocalyptic number.

It is an amenable number.

45228 is an abundant number, since it is smaller than the sum of its proper divisors (60332).

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 (52780).

45228 is a wasteful number, since it uses less digits than its factorization.

45228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3774 counting only the distinct ones).

The product of its digits is 640, while the sum is 21.

The square root of 45228 is about 212.6687565206. The cubic root of 45228 is about 35.6289038504.

The spelling of 45228 in words is "forty-five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 3769 7538 11307 15076 22614 45228