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45305442 = 232713171627
BaseRepresentation
bin1010110011010…
…0111001100010
310011020202101100
42230310321202
543044233232
64255015230
71060042560
oct254647142
9104222340
1045305442
1123634716
121320a516
139503670
146034a30
153e9dc7c
hex2b34e62

45305442 has 96 divisors (see below), whose sum is σ = 127999872. Its totient is φ = 11238912.

The previous prime is 45305431. The next prime is 45305483. The reversal of 45305442 is 24450354.

45305442 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 47 ways as a sum of consecutive naturals, for example, 27033 + ... + 28659.

It is an arithmetic number, because the mean of its divisors is an integer number (1333332).

Almost surely, 245305442 is an apocalyptic number.

45305442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45305442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63999936).

45305442 is an abundant number, since it is smaller than the sum of its proper divisors (82694430).

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

45305442 is a wasteful number, since it uses less digits than its factorization.

45305442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 45305442 is about 6730.9317334229. The cubic root of 45305442 is about 356.4922754566.

Adding to 45305442 its reverse (24450354), we get a palindrome (69755796).

The spelling of 45305442 in words is "forty-five million, three hundred five thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 34 39 42 51 63 78 91 102 117 119 126 153 182 221 234 238 273 306 357 442 546 663 714 819 1071 1326 1547 1627 1638 1989 2142 3094 3254 3978 4641 4881 9282 9762 11389 13923 14643 21151 22778 27659 27846 29286 34167 42302 55318 63453 68334 82977 102501 126906 148057 165954 190359 193613 205002 248931 296114 359567 380718 387226 444171 497862 580839 719134 888342 1078701 1161678 1332513 1742517 2157402 2516969 2665026 3236103 3485034 5033938 6472206 7550907 15101814 22652721 45305442