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204026496 = 2734112959
BaseRepresentation
bin11000010100100…
…11001010000000
3112012220121201220
430022103022000
5404212321441
632124555040
75025124302
oct1412231200
9465817656
10204026496
11a5193143
12583b2a80
1333366c4b
141d14d972
1512da2466
hexc293280

204026496 has 64 divisors (see below), whose sum is σ = 555206400. Its totient is φ = 66344960.

The previous prime is 204026489. The next prime is 204026497. The reversal of 204026496 is 694620402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2040264962 = 83253622140076032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204026497) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9265 + ... + 22223.

It is an arithmetic number, because the mean of its divisors is an integer number (8675100).

Almost surely, 2204026496 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 204026496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277603200).

204026496 is an abundant number, since it is smaller than the sum of its proper divisors (351179904).

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

204026496 is a wasteful number, since it uses less digits than its factorization.

204026496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13017 (or 13005 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 204026496 is about 14283.7843724974. The cubic root of 204026496 is about 588.7020168160.

Adding to 204026496 its reverse (694620402), we get a palindrome (898646898).

The spelling of 204026496 in words is "two hundred four million, twenty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 3936 5248 7872 12959 15744 25918 38877 51836 77754 103672 155508 207344 311016 414688 531319 622032 829376 1062638 1244064 1593957 1658752 2125276 2488128 3187914 4250552 4976256 6375828 8501104 12751656 17002208 25503312 34004416 51006624 68008832 102013248 204026496