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165042441 = 351993413
BaseRepresentation
bin10011101011001…
…01100100001001
3102111120000200000
421311211210021
5314222324231
624213233213
74042560204
oct1165454411
9374500600
10165042441
1185186913
1247332809
1328267965
1417cc293b
15e7516e6
hex9d65909

165042441 has 24 divisors (see below), whose sum is σ = 248539200. Its totient is φ = 109443312.

The previous prime is 165042439. The next prime is 165042491. The reversal of 165042441 is 144240561.

165042441 is a `hidden beast` number, since 1 + 650 + 4 + 2 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 165042441 - 21 = 165042439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (165042421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46651 + ... + 50063.

It is an arithmetic number, because the mean of its divisors is an integer number (10355800).

Almost surely, 2165042441 is an apocalyptic number.

It is an amenable number.

165042441 is a deficient number, since it is larger than the sum of its proper divisors (83496759).

165042441 is an equidigital number, since it uses as much as digits as its factorization.

165042441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627 (or 3615 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 165042441 is about 12846.8844861313. The cubic root of 165042441 is about 548.5276776108.

The spelling of 165042441 in words is "one hundred sixty-five million, forty-two thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 199 243 597 1791 3413 5373 10239 16119 30717 48357 92151 276453 679187 829359 2037561 6112683 18338049 55014147 165042441