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204642464 = 251317191523
BaseRepresentation
bin11000011001010…
…01100010100000
3112021001220200112
430030221202200
5404342024324
632150110452
75033301155
oct1414514240
9467056615
10204642464
11a5573a04
125864b428
1333521420
141d27022c
1512e74c0e
hexc3298a0

204642464 has 96 divisors (see below), whose sum is σ = 483900480. Its totient is φ = 84160512.

The previous prime is 204642457. The next prime is 204642467. The reversal of 204642464 is 464246402.

Adding to 204642464 its reverse (464246402), we get a palindrome (668888866).

204642464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 204642464.

It is not an unprimeable number, because it can be changed into a prime (204642467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133607 + ... + 135129.

It is an arithmetic number, because the mean of its divisors is an integer number (5040630).

Almost surely, 2204642464 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 204642464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241950240).

204642464 is an abundant number, since it is smaller than the sum of its proper divisors (279258016).

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

204642464 is a wasteful number, since it uses less digits than its factorization.

204642464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 204642464 is about 14305.3299158041. The cubic root of 204642464 is about 589.2938636211.

The spelling of 204642464 in words is "two hundred four million, six hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 17 19 26 32 34 38 52 68 76 104 136 152 208 221 247 272 304 323 416 442 494 544 608 646 884 988 1292 1523 1768 1976 2584 3046 3536 3952 4199 5168 6092 7072 7904 8398 10336 12184 16796 19799 24368 25891 28937 33592 39598 48736 51782 57874 67184 79196 103564 115748 134368 158392 207128 231496 316784 336583 376181 414256 462992 491929 633568 673166 752362 828512 925984 983858 1346332 1504724 1967716 2692664 3009448 3935432 5385328 6018896 6395077 7870864 10770656 12037792 12790154 15741728 25580308 51160616 102321232 204642464