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204672656 = 24174118353
BaseRepresentation
bin11000011001100…
…00111010010000
3112021010110002202
430030300322100
5404344011111
632150502332
75033455166
oct1414607220
9467113082
10204672656
11a5594661
12586649a8
13335320a6
141d27b236
1512e7db3b
hexc330e90

204672656 has 40 divisors (see below), whose sum is σ = 430144344. Its totient is φ = 93962240.

The previous prime is 204672613. The next prime is 204672659. The reversal of 204672656 is 656276402.

It can be written as a sum of positive squares in 4 ways, for example, as 640000 + 204032656 = 800^2 + 14284^2 .

It is a super-2 number, since 2×2046726562 = 83781792228188672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204672659) 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 7 ways as a sum of consecutive naturals, for example, 1976 + ... + 20328.

Almost surely, 2204672656 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 204672656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215072172).

204672656 is an abundant number, since it is smaller than the sum of its proper divisors (225471688).

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

204672656 is a wasteful number, since it uses less digits than its factorization.

204672656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18419 (or 18413 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 204672656 is about 14306.3851478981. The cubic root of 204672656 is about 589.3228427571.

The spelling of 204672656 in words is "two hundred four million, six hundred seventy-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 328 656 697 1394 2788 5576 11152 18353 36706 73412 146824 293648 312001 624002 752473 1248004 1504946 2496008 3009892 4992016 6019784 12039568 12792041 25584082 51168164 102336328 204672656