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45144333 = 32131722697
BaseRepresentation
bin1010110000110…
…1100100001101
310010221120101100
42230031210031
543024104313
64251333313
71055502063
oct254154415
9103846340
1045144333
1123534673
1213151239
139478230
145dd2033
153e6b173
hex2b0d90d

45144333 has 24 divisors (see below), whose sum is σ = 74358648. Its totient is φ = 26145792.

The previous prime is 45144311. The next prime is 45144349. The reversal of 45144333 is 33344154.

It can be written as a sum of positive squares in 4 ways, for example, as 26244 + 45118089 = 162^2 + 6717^2 .

It is not a de Polignac number, because 45144333 - 25 = 45144301 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45144297 and 45144306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45144433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9360 + ... + 13337.

It is an arithmetic number, because the mean of its divisors is an integer number (3098277).

Almost surely, 245144333 is an apocalyptic number.

It is an amenable number.

45144333 is a deficient number, since it is larger than the sum of its proper divisors (29214315).

45144333 is a wasteful number, since it uses less digits than its factorization.

45144333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22733 (or 22730 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 45144333 is about 6718.9532666927. The cubic root of 45144333 is about 356.0692039221.

Adding to 45144333 its reverse (33344154), we get a palindrome (78488487).

The spelling of 45144333 in words is "forty-five million, one hundred forty-four thousand, three hundred thirty-three".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 22697 68091 204273 295061 385849 885183 1157547 2655549 3472641 5016037 15048111 45144333