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204045424 = 241117471451
BaseRepresentation
bin11000010100101…
…11110001110000
3112012221120200221
430022113301300
5404213423144
632125222424
75025233422
oct1412276160
9465846627
10204045424
11a51a6390
1258401a14
133337274b
141d156812
1512da7d84
hexc297c70

204045424 has 80 divisors (see below), whose sum is σ = 466684416. Its totient is φ = 85376000.

The previous prime is 204045419. The next prime is 204045433. The reversal of 204045424 is 424540402.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139899 + ... + 141349.

Almost surely, 2204045424 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 204045424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233342208).

204045424 is an abundant number, since it is smaller than the sum of its proper divisors (262638992).

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

204045424 is a wasteful number, since it uses less digits than its factorization.

204045424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

The square root of 204045424 is about 14284.4469266402. The cubic root of 204045424 is about 588.7202213261.

Adding to 204045424 its reverse (424540402), we get a palindrome (628585826).

The spelling of 204045424 in words is "two hundred four million, forty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 47 68 88 94 136 176 187 188 272 374 376 517 748 752 799 1034 1451 1496 1598 2068 2902 2992 3196 4136 5804 6392 8272 8789 11608 12784 15961 17578 23216 24667 31922 35156 49334 63844 68197 70312 98668 127688 136394 140624 197336 255376 271337 272788 394672 542674 545576 750167 1085348 1091152 1159349 1500334 2170696 2318698 3000668 4341392 4637396 6001336 9274792 12002672 12752839 18549584 25505678 51011356 102022712 204045424