Search a number
-
+
290010252676 = 221724723372
BaseRepresentation
bin1000011100001011111…
…01010100010110000100
31000201120022110021122111
410032011331110112010
514222420111041201
6341121234110404
726644503321514
oct4160575242604
91021508407574
10290010252676
11101aa1255281
1248257a1b404
132146a2c1011
14100724cb844
157825678b51
hex4385f54584

290010252676 has 81 divisors (see below), whose sum is σ = 552482324751. Its totient is φ = 133175325696.

The previous prime is 290010252673. The next prime is 290010252731. The reversal of 290010252676 is 676252010092.

The square root of 290010252676 is 538526.

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

It can be written as a sum of positive squares in 4 ways, for example, as 910470276 + 289099782400 = 30174^2 + 537680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (290010252673) 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 26 ways as a sum of consecutive naturals, for example, 860564380 + ... + 860564716.

Almost surely, 2290010252676 is an apocalyptic number.

290010252676 is the 538526-th square number.

It is an amenable number.

290010252676 is a deficient number, since it is larger than the sum of its proper divisors (262472072075).

290010252676 is an equidigital number, since it uses as much as digits as its factorization.

290010252676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 290010252676 in words is "two hundred ninety billion, ten million, two hundred fifty-two thousand, six hundred seventy-six".

Divisors: 1 2 4 17 34 47 68 94 188 289 337 578 674 799 1156 1348 1598 2209 3196 4418 5729 8836 11458 13583 15839 22916 27166 31678 37553 54332 63356 75106 97393 113569 150212 194786 227138 269263 389572 454276 538526 638401 744433 1077052 1276802 1488866 1930673 2553604 2977732 3861346 4577471 5337743 7722692 9154942 10675486 12655361 18309884 21350972 25310722 32821441 50621444 65642882 90741631 131285764 181483262 215141137 250873921 362966524 430282274 501747842 860564548 1003495684 1542607727 3085215454 4264856657 6170430908 8529713314 17059426628 72502563169 145005126338 290010252676