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204140524 = 22753151911
BaseRepresentation
bin11000010101011…
…10111111101100
3112020010102011011
430022232333230
5404224444044
632131235004
75026110610
oct1412567754
9466112134
10204140524
11a5260885
1258448a64
13333a6b13
141d17d340
1512dc6134
hexc2aefec

204140524 has 48 divisors (see below), whose sum is σ = 419198976. Its totient is φ = 85176000.

The previous prime is 204140513. The next prime is 204140527. The reversal of 204140524 is 425041402.

It is a happy number.

It is a super-3 number, since 3×2041405243 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 204140495 and 204140504.

It is not an unprimeable number, because it can be changed into a prime (204140527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223629 + ... + 224539.

It is an arithmetic number, because the mean of its divisors is an integer number (8733312).

Almost surely, 2204140524 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 204140524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209599488).

204140524 is an abundant number, since it is smaller than the sum of its proper divisors (215058452).

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

204140524 is a wasteful number, since it uses less digits than its factorization.

204140524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 204140524 is about 14287.7753341799. The cubic root of 204140524 is about 588.8116692599.

Adding to 204140524 its reverse (425041402), we get a palindrome (629181926).

The spelling of 204140524 in words is "two hundred four million, one hundred forty thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 28 53 106 151 212 302 371 604 742 911 1057 1484 1822 2114 3644 4228 6377 8003 12754 16006 25508 32012 48283 56021 96566 112042 137561 193132 224084 275122 337981 550244 675962 962927 1351924 1925854 3851708 7290733 14581466 29162932 51035131 102070262 204140524