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193713642 = 23210761869
BaseRepresentation
bin10111000101111…
…01010111101010
3111111111200011100
423202331113222
5344042314032
631115542230
74541352543
oct1342752752
9444450140
10193713642
119a389a21
1254a5a976
1331195b75
141ba274ca
151201697c
hexb8bd5ea

193713642 has 12 divisors (see below), whose sum is σ = 419712930. Its totient is φ = 64571208.

The previous prime is 193713599. The next prime is 193713647. The reversal of 193713642 is 246317391.

193713642 is a `hidden beast` number, since 1 + 9 + 3 + 7 + 1 + 3 + 642 = 666.

It can be written as a sum of positive squares in only one way, i.e., 193182201 + 531441 = 13899^2 + 729^2 .

It is a junction number, because it is equal to n+sod(n) for n = 193713597 and 193713606.

It is not an unprimeable number, because it can be changed into a prime (193713647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5380917 + ... + 5380952.

Almost surely, 2193713642 is an apocalyptic number.

193713642 is an abundant number, since it is smaller than the sum of its proper divisors (225999288).

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

193713642 is a wasteful number, since it uses less digits than its factorization.

193713642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10761877 (or 10761874 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 193713642 is about 13918.1048278852. The cubic root of 193713642 is about 578.6110661720.

The spelling of 193713642 in words is "one hundred ninety-three million, seven hundred thirteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 10761869 21523738 32285607 64571214 96856821 193713642