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45329808 = 2434771283
BaseRepresentation
bin1010110011101…
…0110110010000
310011021222210210
42230322312100
543101023213
64255324120
71060203606
oct254726620
9104258723
1045329808
1123650a57
1213220640
139511794
14603d876
153ea60c3
hex2b3ad90

45329808 has 80 divisors (see below), whose sum is σ = 121706496. Its totient is φ = 14528640.

The previous prime is 45329797. The next prime is 45329827. The reversal of 45329808 is 80892354.

It is a happy number.

45329808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160035 + ... + 160317.

Almost surely, 245329808 is an apocalyptic number.

45329808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45329808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60853248).

45329808 is an abundant number, since it is smaller than the sum of its proper divisors (76376688).

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

45329808 is a wasteful number, since it uses less digits than its factorization.

45329808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 45329808 is about 6732.7414921412. The cubic root of 45329808 is about 356.5561731081.

The spelling of 45329808 in words is "forty-five million, three hundred twenty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 71 94 141 142 188 213 282 283 284 376 426 564 566 568 752 849 852 1128 1132 1136 1698 1704 2256 2264 3337 3396 3408 4528 6674 6792 10011 13301 13348 13584 20022 20093 26602 26696 39903 40044 40186 53204 53392 60279 79806 80088 80372 106408 120558 159612 160176 160744 212816 241116 319224 321488 482232 638448 944371 964464 1888742 2833113 3777484 5666226 7554968 11332452 15109936 22664904 45329808