Search a number
-
+
204617952 = 25327119227
BaseRepresentation
bin11000011001000…
…11100011100000
3112021000200001200
430030203203200
5404340233302
632145401200
75033136540
oct1414434340
9467020050
10204617952
11a5557550
1258639200
1333513216
141d265320
1512e6c81c
hexc3238e0

204617952 has 144 divisors (see below), whose sum is σ = 725542272. Its totient is φ = 53141760.

The previous prime is 204617947. The next prime is 204617957. The reversal of 204617952 is 259716402.

It is an interprime number because it is at equal distance from previous prime (204617947) and next prime (204617957).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204617957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17563 + ... + 26789.

It is an arithmetic number, because the mean of its divisors is an integer number (5038488).

Almost surely, 2204617952 is an apocalyptic number.

204617952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204617952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362771136).

204617952 is an abundant number, since it is smaller than the sum of its proper divisors (520924320).

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

204617952 is a wasteful number, since it uses less digits than its factorization.

204617952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9261 (or 9250 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 204617952 is about 14304.4731465371. The cubic root of 204617952 is about 589.2703342133.

The spelling of 204617952 in words is "two hundred four million, six hundred seventeen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 7392 9227 11088 18454 22176 27681 36908 55362 64589 73816 83043 101497 110724 129178 147632 166086 193767 202994 221448 258356 295264 304491 332172 387534 405988 442896 516712 581301 608982 664344 710479 775068 811976 885792 913473 1033424 1162602 1217964 1328688 1420958 1550136 1623952 1826946 2066848 2131437 2325204 2435928 2657376 2841916 3100272 3247904 3653892 4262874 4650408 4871856 5683832 6200544 6394311 7307784 8525748 9300816 9743712 11367664 12788622 14615568 17051496 18601632 22735328 25577244 29231136 34102992 51154488 68205984 102308976 204617952