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162045441 = 346413121
BaseRepresentation
bin10011010100010…
…01111000000001
3102021220202120000
421222021320001
5312440423231
624025110213
74005235455
oct1152117001
9367822500
10162045441
118351a158
1246328369
132775879c
1417742665
15e35d6e6
hex9a89e01

162045441 has 20 divisors (see below), whose sum is σ = 242523204. Its totient is φ = 107827200.

The previous prime is 162045437. The next prime is 162045449. The reversal of 162045441 is 144540261.

162045441 is a `hidden beast` number, since 16 + 204 + 5 + 441 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57699216 + 104346225 = 7596^2 + 10215^2 .

It is not a de Polignac number, because 162045441 - 22 = 162045437 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 (162045449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50361 + ... + 53481.

Almost surely, 2162045441 is an apocalyptic number.

It is an amenable number.

162045441 is a deficient number, since it is larger than the sum of its proper divisors (80477763).

162045441 is an equidigital number, since it uses as much as digits as its factorization.

162045441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3774 (or 3765 counting only the distinct ones).

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

The square root of 162045441 is about 12729.7070272650. The cubic root of 162045441 is about 545.1871433173.

The spelling of 162045441 in words is "one hundred sixty-two million, forty-five thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 641 1923 3121 5769 9363 17307 28089 51921 84267 252801 2000561 6001683 18005049 54015147 162045441