Search a number
-
+
282261908552 = 23132144492
BaseRepresentation
bin1000001101110000001…
…11101110110001001000
3222222120022120121201012
410012320013232301020
514111033022033202
6333400324143052
726251466431121
oct4067007566110
9888508517635
10282261908552
11a9785541698
1246854b37a88
1320803c50200
14d939411048
1575202dd152
hex41b81eec48

282261908552 has 36 divisors (see below), whose sum is σ = 573123199995. Its totient is φ = 130265710848.

The previous prime is 282261908531. The next prime is 282261908603. The reversal of 282261908552 is 255809162282.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 215680363396 + 66581545156 = 464414^2 + 258034^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=375674.

It is a super-3 number, since 3×2822619085523 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 282261908552.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 19527824 + ... + 19542272.

Almost surely, 2282261908552 is an apocalyptic number.

It is an amenable number.

282261908552 is an abundant number, since it is smaller than the sum of its proper divisors (290861291443).

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

282261908552 is an frugal number, since it uses more digits than its factorization.

282261908552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28930 (or 14464 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 50.

Multiplying 282261908552 by its sum of digits (50), we get a square (14113095427600 = 37567402).

The spelling of 282261908552 in words is "two hundred eighty-two billion, two hundred sixty-one million, nine hundred eight thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 14449 28898 57796 115592 187837 375674 751348 1502696 2441881 4883762 9767524 19535048 208773601 417547202 835094404 1670188808 2714056813 5428113626 10856227252 21712454504 35282738569 70565477138 141130954276 282261908552