Search a number
-
+
204042064 = 24192113181
BaseRepresentation
bin11000010100101…
…10111101010000
3112012221102002111
430022112331100
5404213321224
632125155104
75025220552
oct1412267520
9465842074
10204042064
11a51a3906
12583bba94
1333371065
141d1554d2
1512da6d94
hexc296f50

204042064 has 40 divisors (see below), whose sum is σ = 418242080. Its totient is φ = 96163200.

The previous prime is 204042049. The next prime is 204042071. The reversal of 204042064 is 460240402.

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 7 ways as a sum of consecutive naturals, for example, 62554 + ... + 65734.

It is an arithmetic number, because the mean of its divisors is an integer number (10456052).

Almost surely, 2204042064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204042064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209121040).

204042064 is an abundant number, since it is smaller than the sum of its proper divisors (214200016).

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

204042064 is a wasteful number, since it uses less digits than its factorization.

204042064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 204042064 is about 14284.3293157222. The cubic root of 204042064 is about 588.7169898385.

Adding to 204042064 its reverse (460240402), we get a palindrome (664282466).

The spelling of 204042064 in words is "two hundred four million, forty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 19 38 76 152 211 304 422 844 1688 3181 3376 4009 6362 8018 12724 16036 25448 32072 50896 60439 64144 120878 241756 483512 671191 967024 1342382 2684764 5369528 10739056 12752629 25505258 51010516 102021032 204042064