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557782104 = 2331117373359
BaseRepresentation
bin100001001111110…
…001010001011000
31102212120021012110
4201033301101120
52120243011404
6131203112320
716552032615
oct4117612130
91385507173
10557782104
11266942a50
121369726a0
138b7366a9
145411750c
1533e7db89
hex213f1458

557782104 has 128 divisors (see below), whose sum is σ = 1654732800. Its totient is φ = 154736640.

The previous prime is 557782091. The next prime is 557782117. The reversal of 557782104 is 401287755.

It is an interprime number because it is at equal distance from previous prime (557782091) and next prime (557782117).

It is a super-2 number, since 2×5577821042 = 622241751085333632, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 164377 + ... + 167735.

It is an arithmetic number, because the mean of its divisors is an integer number (12927600).

Almost surely, 2557782104 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 557782104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827366400).

557782104 is an abundant number, since it is smaller than the sum of its proper divisors (1096950696).

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

557782104 is a wasteful number, since it uses less digits than its factorization.

557782104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3433 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 39.

The square root of 557782104 is about 23617.4110350817. The cubic root of 557782104 is about 823.1674556782.

The spelling of 557782104 in words is "five hundred fifty-seven million, seven hundred eighty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 37 44 51 66 68 74 88 102 111 132 136 148 187 204 222 264 296 374 407 408 444 561 629 748 814 888 1122 1221 1258 1496 1628 1887 2244 2442 2516 3256 3359 3774 4488 4884 5032 6718 6919 7548 9768 10077 13436 13838 15096 20154 20757 26872 27676 36949 40308 41514 55352 57103 73898 80616 83028 110847 114206 124283 147796 166056 171309 221694 228412 248566 295592 342618 372849 443388 456824 497132 628133 685236 745698 886776 994264 1256266 1367113 1370472 1491396 1884399 2112811 2512532 2734226 2982792 3768798 4101339 4225622 5025064 5468452 6338433 7537596 8202678 8451244 10936904 12676866 15075192 16405356 16902488 23240921 25353732 32810712 46481842 50707464 69722763 92963684 139445526 185927368 278891052 557782104