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45295668 = 2232111071069
BaseRepresentation
bin1010110011001…
…0100000110100
310011020020222100
42230302200310
543043430133
64254502100
71060002225
oct254624064
9104206870
1045295668
1123628340
1213204930
1394cc092
14603124c
153e9ae13
hex2b32834

45295668 has 72 divisors (see below), whose sum is σ = 126191520. Its totient is φ = 13584960.

The previous prime is 45295643. The next prime is 45295687. The reversal of 45295668 is 86659254.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41838 + ... + 42906.

It is an arithmetic number, because the mean of its divisors is an integer number (1752660).

Almost surely, 245295668 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 45295668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63095760).

45295668 is an abundant number, since it is smaller than the sum of its proper divisors (80895852).

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

45295668 is a wasteful number, since it uses less digits than its factorization.

45295668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1192 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 45295668 is about 6730.2056432177. The cubic root of 45295668 is about 356.4666375792.

The spelling of 45295668 in words is "forty-five million, two hundred ninety-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 107 132 198 214 321 396 428 642 963 1069 1177 1284 1926 2138 2354 3207 3531 3852 4276 4708 6414 7062 9621 10593 11759 12828 14124 19242 21186 23518 35277 38484 42372 47036 70554 105831 114383 141108 211662 228766 343149 423324 457532 686298 1029447 1258213 1372596 2058894 2516426 3774639 4117788 5032852 7549278 11323917 15098556 22647834 45295668