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282948461041 = 312171592
BaseRepresentation
bin1000001111000010000…
…10101110000111110001
31000001100011110002200011
410013201002232013301
514113434301223131
6333552411254521
726304504143641
oct4074102560761
91001304402604
10282948461041
11a9aa8036744
1246a06a4a441
13208b326179c
14d9a2688521
1575607060b1
hex41e10ae1f1

282948461041 has 9 divisors (see below), whose sum is σ = 292387301913. Its totient is φ = 273805133460.

The previous prime is 282948461039. The next prime is 282948461051. The reversal of 282948461041 is 140164849282.

The square root of 282948461041 is 531929.

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

It is not a de Polignac number, because 282948461041 - 21 = 282948461039 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (282948461051) 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 8 ways as a sum of consecutive naturals, for example, 16481220 + ... + 16498378.

Almost surely, 2282948461041 is an apocalyptic number.

282948461041 is the 531929-th square number.

282948461041 is the 265965-th centered octagonal number.

It is an amenable number.

282948461041 is a deficient number, since it is larger than the sum of its proper divisors (9438840872).

282948461041 is an frugal number, since it uses more digits than its factorization.

282948461041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34380 (or 17190 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 49.

Multiplying 282948461041 by its sum of digits (49), we get a square (13864474591009 = 37235032).

The spelling of 282948461041 in words is "two hundred eighty-two billion, nine hundred forty-eight million, four hundred sixty-one thousand, forty-one".

Divisors: 1 31 961 17159 531929 16489799 294431281 9127369711 282948461041