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286540241 = 1361361337
BaseRepresentation
bin10001000101000…
…100000111010001
3201222011202022112
4101011010013101
51041323241431
644233315105
710046360201
oct2105040721
9658152275
10286540241
11137820a19
127bb65a95
1347497550
142a0ac401
151a250c2b
hex111441d1

286540241 has 8 divisors (see below), whose sum is σ = 313641384. Its totient is φ = 260161920.

The previous prime is 286540211. The next prime is 286540259. The reversal of 286540241 is 142045682.

It can be written as a sum of positive squares in 4 ways, for example, as 40960000 + 245580241 = 6400^2 + 15671^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-286540241 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 286540198 and 286540207.

It is not an unprimeable number, because it can be changed into a prime (286540201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179876 + ... + 181461.

It is an arithmetic number, because the mean of its divisors is an integer number (39205173).

Almost surely, 2286540241 is an apocalyptic number.

It is an amenable number.

286540241 is a deficient number, since it is larger than the sum of its proper divisors (27101143).

286540241 is a wasteful number, since it uses less digits than its factorization.

286540241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361411.

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 286540241 is about 16927.4995495495. The cubic root of 286540241 is about 659.2678144499.

The spelling of 286540241 in words is "two hundred eighty-six million, five hundred forty thousand, two hundred forty-one".

Divisors: 1 13 61 793 361337 4697381 22041557 286540241