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442345145 = 51121574657
BaseRepresentation
bin11010010111011…
…010011010111001
31010211100110110112
4122113122122321
51401220021040
6111520554105
713650604664
oct3227323271
91124313415
10442345145
11207768500
12104182935
13708496b8
1442a686db
1528c7a365
hex1a5da6b9

442345145 has 24 divisors (see below), whose sum is σ = 587299272. Its totient is φ = 319587840.

The previous prime is 442345133. The next prime is 442345147. The reversal of 442345145 is 541543244.

It can be written as a sum of positive squares in 4 ways, for example, as 121 + 442345024 = 11^2 + 21032^2 .

It is not a de Polignac number, because 442345145 - 24 = 442345129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442345147) 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, 92657 + ... + 97313.

It is an arithmetic number, because the mean of its divisors is an integer number (24470803).

Almost surely, 2442345145 is an apocalyptic number.

It is an amenable number.

442345145 is a deficient number, since it is larger than the sum of its proper divisors (144954127).

442345145 is a wasteful number, since it uses less digits than its factorization.

442345145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4841 (or 4830 counting only the distinct ones).

The product of its digits is 38400, while the sum is 32.

The square root of 442345145 is about 21032.0028765688. The cubic root of 442345145 is about 761.9393825938.

Adding to 442345145 its reverse (541543244), we get a palindrome (983888389).

The spelling of 442345145 in words is "four hundred forty-two million, three hundred forty-five thousand, one hundred forty-five".

Divisors: 1 5 11 55 121 157 605 785 1727 4657 8635 18997 23285 51227 94985 256135 563497 731149 2817485 3655745 8042639 40213195 88469029 442345145