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45538218 = 23211349659
BaseRepresentation
bin1010110110110…
…1101110101010
310011200120200200
42231231232222
543124210333
64304013030
71062032325
oct255555652
9104616620
1045538218
11237835a0
1213301176
1395855bb
1460957bc
153ee7c13
hex2b6dbaa

45538218 has 48 divisors (see below), whose sum is σ = 108108000. Its totient is φ = 13739040.

The previous prime is 45538217. The next prime is 45538267. The reversal of 45538218 is 81283554.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45538211) 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, 68773 + ... + 69431.

It is an arithmetic number, because the mean of its divisors is an integer number (2252250).

Almost surely, 245538218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45538218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54054000).

45538218 is an abundant number, since it is smaller than the sum of its proper divisors (62569782).

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

45538218 is a wasteful number, since it uses less digits than its factorization.

45538218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1024 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 45538218 is about 6748.2010936249. The cubic root of 45538218 is about 357.1017764101.

The spelling of 45538218 in words is "forty-five million, five hundred thirty-eight thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 349 659 698 1047 1318 1977 2094 3141 3839 3954 5931 6282 7249 7678 11517 11862 14498 21747 23034 34551 43494 65241 69102 130482 229991 459982 689973 1379946 2069919 2529901 4139838 5059802 7589703 15179406 22769109 45538218