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45609444 = 22321266929
BaseRepresentation
bin1010110111111…
…1000111100100
310011211012101200
42231333013210
543134000234
64305322500
71062450066
oct255770744
9104735350
1045609444
1123822061
1213336430
1395abb4a
1460b3736
15400dd99
hex2b7f1e4

45609444 has 18 divisors (see below), whose sum is σ = 115290630. Its totient is φ = 15203136.

The previous prime is 45609439. The next prime is 45609449. The reversal of 45609444 is 44490654.

45609444 is a `hidden beast` number, since 4 + 5 + 609 + 4 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (45609439) and next prime (45609449).

It can be written as a sum of positive squares in only one way, i.e., 41447844 + 4161600 = 6438^2 + 2040^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1266929 = 45609444 / (4 + 5 + 6 + 0 + 9 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 45609399 and 45609408.

It is not an unprimeable number, because it can be changed into a prime (45609449) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 633429 + ... + 633500.

It is an arithmetic number, because the mean of its divisors is an integer number (6405035).

Almost surely, 245609444 is an apocalyptic number.

It is an amenable number.

45609444 is an abundant number, since it is smaller than the sum of its proper divisors (69681186).

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

45609444 is a wasteful number, since it uses less digits than its factorization.

45609444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266939 (or 1266934 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 45609444 is about 6753.4764381021. The cubic root of 45609444 is about 357.2878595353.

The spelling of 45609444 in words is "forty-five million, six hundred nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1266929 2533858 3800787 5067716 7601574 11402361 15203148 22804722 45609444