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63745052 = 22723312103
BaseRepresentation
bin1111001100101…
…0110000011100
311102221120202212
43303022300130
5112304320202
610154135552
71402552430
oct363126034
9142846685
1063745052
1132a89668
12194215b8
131028b787
1486749c0
1558e2652
hex3ccac1c

63745052 has 72 divisors (see below), whose sum is σ = 138797568. Its totient is φ = 25043040.

The previous prime is 63745027. The next prime is 63745067. The reversal of 63745052 is 25054736.

63745052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 618833 + ... + 618935.

It is an arithmetic number, because the mean of its divisors is an integer number (1927744).

Almost surely, 263745052 is an apocalyptic number.

63745052 is a gapful number since it is divisible by the number (62) 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 63745052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69398784).

63745052 is an abundant number, since it is smaller than the sum of its proper divisors (75052516).

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

63745052 is a wasteful number, since it uses less digits than its factorization.

63745052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 63745052 is about 7984.0498495438. The cubic root of 63745052 is about 399.4681514897.

Adding to 63745052 its reverse (25054736), we get a palindrome (88799788).

The spelling of 63745052 in words is "sixty-three million, seven hundred forty-five thousand, fifty-two".

Divisors: 1 2 4 7 14 23 28 31 46 62 92 103 124 161 206 217 322 412 434 644 713 721 868 961 1426 1442 1922 2369 2852 2884 3193 3844 4738 4991 6386 6727 9476 9982 12772 13454 16583 19964 22103 22351 26908 33166 44206 44702 66332 73439 88412 89404 98983 146878 154721 197966 293756 309442 395932 514073 618884 692881 1028146 1385762 2056292 2276609 2771524 4553218 9106436 15936263 31872526 63745052