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63794142 = 2342937367
BaseRepresentation
bin1111001101011…
…0101111011110
311110001002010000
43303112233132
5112312403032
610155155130
71403145516
oct363265736
9143032100
1063794142
1133012535
1219445aa6
13102a7c19
148688846
155901e7c
hex3cd6bde

63794142 has 80 divisors (see below), whose sum is σ = 152285760. Its totient is φ = 19922112.

The previous prime is 63794141. The next prime is 63794147. The reversal of 63794142 is 24149736.

63794142 is a `hidden beast` number, since 637 + 9 + 4 + 14 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 63794097 and 63794106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63794141) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 173643 + ... + 174009.

It is an arithmetic number, because the mean of its divisors is an integer number (1903572).

Almost surely, 263794142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63794142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76142880).

63794142 is an abundant number, since it is smaller than the sum of its proper divisors (88491618).

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

63794142 is a wasteful number, since it uses less digits than its factorization.

63794142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 438 counting only the distinct ones).

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

The square root of 63794142 is about 7987.1235122540. The cubic root of 63794142 is about 399.5706685177.

It can be divided in two parts, 63794 and 142, that added together give a palindrome (63936).

The spelling of 63794142 in words is "sixty-three million, seven hundred ninety-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 37 54 58 74 81 87 111 162 174 222 261 333 367 522 666 734 783 999 1073 1101 1566 1998 2146 2202 2349 2997 3219 3303 4698 5994 6438 6606 9657 9909 10643 13579 19314 19818 21286 27158 28971 29727 31929 40737 57942 59454 63858 81474 86913 95787 122211 173826 191574 244422 287361 366633 393791 574722 733266 787582 862083 1099899 1181373 1724166 2199798 2362746 3544119 7088238 10632357 21264714 31897071 63794142