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63035742 = 23711472903
BaseRepresentation
bin1111000001110…
…1100101011110
311101121112210010
43300131211132
5112114120432
610131024050
71363536450
oct360354536
9141545703
1063035742
1132644760
121913b026
13100a0973
14852c2d0
1558023cc
hex3c1d95e

63035742 has 64 divisors (see below), whose sum is σ = 160579584. Its totient is φ = 16019040.

The previous prime is 63035729. The next prime is 63035743. The reversal of 63035742 is 24753036.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63035743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20263 + ... + 23165.

It is an arithmetic number, because the mean of its divisors is an integer number (2509056).

Almost surely, 263035742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63035742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80289792).

63035742 is an abundant number, since it is smaller than the sum of its proper divisors (97543842).

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

63035742 is a wasteful number, since it uses less digits than its factorization.

63035742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973.

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 63035742 is about 7939.5051483074. The cubic root of 63035742 is about 397.9809549568.

Adding to 63035742 its reverse (24753036), we get a palindrome (87788778).

The spelling of 63035742 in words is "sixty-three million, thirty-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 47 66 77 94 141 154 231 282 329 462 517 658 987 1034 1551 1974 2903 3102 3619 5806 7238 8709 10857 17418 20321 21714 31933 40642 60963 63866 95799 121926 136441 191598 223531 272882 409323 447062 670593 818646 955087 1341186 1500851 1910174 2865261 3001702 4502553 5730522 9005106 10505957 21011914 31517871 63035742