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541046286 = 2321131181487
BaseRepresentation
bin100000001111111…
…011011000001110
31101201001222222100
4200033323120032
52102001440121
6125404255530
716256550264
oct4017733016
91351058870
10541046286
112584520a0
121312415a6
1388126c41
1451bdc434
1532775026
hex203fb60e

541046286 has 96 divisors (see below), whose sum is σ = 1330108416. Its totient is φ = 157464000.

The previous prime is 541046279. The next prime is 541046293. The reversal of 541046286 is 682640145.

541046286 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (541046279) and next prime (541046293).

It is a self number, because there is not a number n which added to its sum of digits gives 541046286.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1110735 + ... + 1111221.

It is an arithmetic number, because the mean of its divisors is an integer number (13855296).

Almost surely, 2541046286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541046286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665054208).

541046286 is an abundant number, since it is smaller than the sum of its proper divisors (789062130).

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

541046286 is a wasteful number, since it uses less digits than its factorization.

541046286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 541046286 is about 23260.4016732300. The cubic root of 541046286 is about 814.8508821740.

The spelling of 541046286 in words is "five hundred forty-one million, forty-six thousand, two hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 181 186 198 279 341 362 487 543 558 682 974 1023 1086 1461 1629 1991 2046 2922 3069 3258 3982 4383 5357 5611 5973 6138 8766 10714 11222 11946 15097 16071 16833 17919 30194 32142 33666 35838 45291 48213 50499 61721 88147 90582 96426 100998 123442 135873 166067 176294 185163 264441 271746 332134 370326 498201 528882 555489 793323 969617 996402 1110978 1494603 1586646 1939234 2732557 2908851 2989206 5465114 5817702 8197671 8726553 16395342 17453106 24593013 30058127 49186026 60116254 90174381 180348762 270523143 541046286