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2857116304 = 2472232832
BaseRepresentation
bin1010101001001100…
…0010001010010000
321101010011112202101
42222103002022100
521322410210204
61151301530144
7130542042100
oct25223021220
97333145671
102857116304
111236849849
12678a13954
13366c07783
141d1651200
1511ac6cea4
hexaa4c2290

2857116304 has 135 divisors (see below), whose sum is σ = 6813673923. Its totient is φ = 1157128896.

The previous prime is 2857116287. The next prime is 2857116307. The reversal of 2857116304 is 4036117582.

The square root of 2857116304 is 53452.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×28571163042 = 16326227149165240832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2857116307) 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 26 ways as a sum of consecutive naturals, for example, 34423047 + ... + 34423129.

Almost surely, 22857116304 is an apocalyptic number.

2857116304 is the 53452-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2857116304

2857116304 is an abundant number, since it is smaller than the sum of its proper divisors (3956557619).

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

2857116304 is an equidigital number, since it uses as much as digits as its factorization.

2857116304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The cubic root of 2857116304 is about 1418.9790161354.

The spelling of 2857116304 in words is "two billion, eight hundred fifty-seven million, one hundred sixteen thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 83 92 98 112 161 166 184 196 322 332 368 392 529 581 644 664 784 1058 1127 1162 1288 1328 1909 2116 2254 2324 2576 3703 3818 4067 4232 4508 4648 6889 7406 7636 8134 8464 9016 9296 13363 13778 14812 15272 16268 18032 25921 26726 27556 29624 30544 32536 43907 48223 51842 53452 55112 59248 65072 87814 93541 96446 103684 106904 110224 158447 175628 187082 192892 207368 213808 307349 316894 337561 351256 374164 385784 414736 614698 633788 675122 702512 748328 771568 1109129 1229396 1267576 1350244 1496656 2151443 2218258 2458792 2535152 2700488 3644281 4302886 4436516 4917584 5400976 7288562 7763903 8605772 8873032 14577124 15527806 17211544 17746064 25509967 29154248 31055612 34423088 51019934 58308496 62111224 102039868 124222448 178569769 204079736 357139538 408159472 714279076 1428558152 2857116304