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63741942 = 232111729653
BaseRepresentation
bin1111001100100…
…1111111110110
311102221102111200
43303021333312
5112304220232
610154113330
71402540365
oct363117766
9142842450
1063741942
1132a872a0
121941b846
131028a234
1486737dc
1558e177c
hex3cc9ff6

63741942 has 96 divisors (see below), whose sum is σ = 165278880. Its totient is φ = 17525760.

The previous prime is 63741893. The next prime is 63741943. The reversal of 63741942 is 24914736.

63741942 is a `hidden beast` number, since 637 + 4 + 19 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 63741897 and 63741906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63741943) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97288 + ... + 97940.

It is an arithmetic number, because the mean of its divisors is an integer number (1721655).

Almost surely, 263741942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63741942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82639440).

63741942 is an abundant number, since it is smaller than the sum of its proper divisors (101536938).

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

63741942 is a wasteful number, since it uses less digits than its factorization.

63741942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 715 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 63741942 is about 7983.8550838552. The cubic root of 63741942 is about 399.4616549532.

The spelling of 63741942 in words is "sixty-three million, seven hundred forty-one thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 29 33 34 51 58 66 87 99 102 153 174 187 198 261 306 319 374 493 522 561 638 653 957 986 1122 1306 1479 1683 1914 1959 2871 2958 3366 3918 4437 5423 5742 5877 7183 8874 10846 11101 11754 14366 16269 18937 21549 22202 32538 33303 37874 43098 48807 56811 64647 66606 97614 99909 113622 122111 129294 170433 199818 208307 244222 321929 340866 366333 416614 624921 643858 732666 965787 1098999 1249842 1874763 1931574 2197998 2897361 3541219 3749526 5794722 7082438 10623657 21247314 31870971 63741942