Search a number
-
+
204749415 = 32513319109
BaseRepresentation
bin11000011010000…
…11101001100111
3112021021100101200
430031003221213
5404403440130
632152253543
75034225033
oct1415035147
9467240350
10204749415
11a56372a2
12586a12b3
133355b000
141d29b1c3
1512e96760
hexc343a67

204749415 has 96 divisors (see below), whose sum is σ = 408408000. Its totient is φ = 94618368.

The previous prime is 204749407. The next prime is 204749417. The reversal of 204749415 is 514947402.

It is a happy number.

204749415 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 204749415 - 23 = 204749407 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 204749415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204749417) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1878381 + ... + 1878489.

It is an arithmetic number, because the mean of its divisors is an integer number (4254250).

Almost surely, 2204749415 is an apocalyptic number.

204749415 is a deficient number, since it is larger than the sum of its proper divisors (203658585).

204749415 is a wasteful number, since it uses less digits than its factorization.

204749415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 204749415 is about 14309.0675796853. The cubic root of 204749415 is about 589.3965053870.

The spelling of 204749415 in words is "two hundred four million, seven hundred forty-nine thousand, four hundred fifteen".

Divisors: 1 3 5 9 13 15 19 39 45 57 65 95 109 117 169 171 195 247 285 327 507 545 585 741 845 855 981 1235 1417 1521 1635 2071 2197 2223 2535 3211 3705 4251 4905 6213 6591 7085 7605 9633 10355 10985 11115 12753 16055 18421 18639 19773 21255 26923 28899 31065 32955 41743 48165 55263 63765 80769 92105 93195 98865 125229 134615 144495 165789 208715 239473 242307 276315 349999 375687 403845 626145 718419 828945 1049997 1197365 1211535 1749995 1878435 2155257 3149991 3592095 4549987 5249985 10776285 13649961 15749955 22749935 40949883 68249805 204749415