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285056541 = 32711411337
BaseRepresentation
bin10000111111011…
…001111000011101
3201212101101001200
4100333121320131
51040433302131
644141430113
710030640430
oct2077317035
9655341050
10285056541
111369a8220
127b56b339
1347098113
1429c03817
151a05b2e6
hex10fd9e1d

285056541 has 24 divisors (see below), whose sum is σ = 513349824. Its totient is φ = 148080960.

The previous prime is 285056539. The next prime is 285056543. The reversal of 285056541 is 145650582.

285056541 is a `hidden beast` number, since 2 + 8 + 50 + 565 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (285056539) and next prime (285056543).

It is not a de Polignac number, because 285056541 - 21 = 285056539 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 285056496 and 285056505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285056543) 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 23 ways as a sum of consecutive naturals, for example, 204976 + ... + 206361.

It is an arithmetic number, because the mean of its divisors is an integer number (21389576).

Almost surely, 2285056541 is an apocalyptic number.

285056541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

285056541 is a deficient number, since it is larger than the sum of its proper divisors (228293283).

285056541 is a wasteful number, since it uses less digits than its factorization.

285056541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411361 (or 411358 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 285056541 is about 16883.6175329815. The cubic root of 285056541 is about 658.1279526549.

The spelling of 285056541 in words is "two hundred eighty-five million, fifty-six thousand, five hundred forty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 411337 1234011 2879359 3702033 4524707 8638077 13574121 25914231 31672949 40722363 95018847 285056541