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494111541 = 372112941257
BaseRepresentation
bin11101011100111…
…000101100110101
31021102202110121110
4131130320230311
52002443032131
6121010305233
715146610300
oct3534705465
91242673543
10494111541
11233a05350
12119588219
137b4a2ac1
14498a1b37
152d5a3646
hex1d738b35

494111541 has 96 divisors (see below), whose sum is σ = 889418880. Its totient is φ = 240844800.

The previous prime is 494111521. The next prime is 494111557. The reversal of 494111541 is 145111494.

It is not a de Polignac number, because 494111541 - 25 = 494111509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 494111499 and 494111508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494111521) 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 95 ways as a sum of consecutive naturals, for example, 1922485 + ... + 1922741.

It is an arithmetic number, because the mean of its divisors is an integer number (9264780).

Almost surely, 2494111541 is an apocalyptic number.

494111541 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

494111541 is a deficient number, since it is larger than the sum of its proper divisors (395307339).

494111541 is a wasteful number, since it uses less digits than its factorization.

494111541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 348 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 494111541 is about 22228.6198626905. The cubic root of 494111541 is about 790.5724318832.

The spelling of 494111541 in words is "four hundred ninety-four million, one hundred eleven thousand, five hundred forty-one".

Divisors: 1 3 7 11 21 29 33 41 49 77 87 123 147 203 231 257 287 319 451 539 609 771 861 957 1189 1353 1421 1617 1799 2009 2233 2827 3157 3567 4263 5397 6027 6699 7453 8323 8481 9471 10537 12593 13079 15631 19789 22099 22359 24969 31611 37779 39237 46893 52171 58261 59367 66297 73759 81983 91553 115907 138523 156513 174783 221277 245949 274659 305573 347721 365197 415569 516313 573881 640871 811349 916719 1095591 1548939 1721643 1922613 2139011 2434047 3361303 4017167 5679443 6417033 10083909 12051501 14973077 17038329 23529121 44919231 70587363 164703847 494111541