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204742494 = 2321129181197
BaseRepresentation
bin11000011010000…
…01111101011110
3112021020222220100
430031001331132
5404403224434
632152201530
75034165615
oct1415017536
9467228810
10204742494
11a5632080
12586992a6
1333557b08
141d29887c
1512e94699
hexc341f5e

204742494 has 96 divisors (see below), whose sum is σ = 505945440. Its totient is φ = 59270400.

The previous prime is 204742493. The next prime is 204742511. The reversal of 204742494 is 494247402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204742493) 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, 1039204 + ... + 1039400.

It is an arithmetic number, because the mean of its divisors is an integer number (5270265).

Almost surely, 2204742494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204742494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252972720).

204742494 is an abundant number, since it is smaller than the sum of its proper divisors (301202946).

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

204742494 is a wasteful number, since it uses less digits than its factorization.

204742494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 204742494 is about 14308.8257379842. The cubic root of 204742494 is about 589.3898643274.

Adding to 204742494 its reverse (494247402), we get a palindrome (698989896).

The spelling of 204742494 in words is "two hundred four million, seven hundred forty-two thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 181 197 198 261 319 362 394 522 543 591 638 957 1086 1182 1629 1773 1914 1991 2167 2871 3258 3546 3982 4334 5249 5713 5742 5973 6501 10498 11426 11946 13002 15747 17139 17919 19503 31494 34278 35657 35838 39006 47241 51417 57739 62843 71314 94482 102834 106971 115478 125686 173217 188529 213942 320913 346434 377058 392227 519651 565587 641826 784454 1034053 1039302 1131174 1176681 2068106 2353362 3102159 3530043 6204318 7060086 9306477 11374583 18612954 22749166 34123749 68247498 102371247 204742494