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457145 = 5132541
BaseRepresentation
bin1101111100110111001
3212020002022
41233212321
5104112040
613444225
73612533
oct1574671
9766068
10457145
11292507
121a0675
13130100
14bc853
15906b5
hex6f9b9

457145 has 12 divisors (see below), whose sum is σ = 595116. Its totient is φ = 336960.

The previous prime is 457139. The next prime is 457151. The reversal of 457145 is 541754.

457145 = T10 + T11 + ... + T139.

It is an interprime number because it is at equal distance from previous prime (457139) and next prime (457151).

It can be written as a sum of positive squares in 6 ways, for example, as 110224 + 346921 = 332^2 + 589^2 .

It is not a de Polignac number, because 457145 - 214 = 440761 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 575 + ... + 1115.

It is an arithmetic number, because the mean of its divisors is an integer number (49593).

2457145 is an apocalyptic number.

It is an amenable number.

457145 is a deficient number, since it is larger than the sum of its proper divisors (137971).

457145 is a wasteful number, since it uses less digits than its factorization.

457145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 559 counting only the distinct ones).

The product of its digits is 2800, while the sum is 26.

The square root of 457145 is about 676.1249884452. The cubic root of 457145 is about 77.0343917880.

Adding to 457145 its reverse (541754), we get a palindrome (998899).

The spelling of 457145 in words is "four hundred fifty-seven thousand, one hundred forty-five".

Divisors: 1 5 13 65 169 541 845 2705 7033 35165 91429 457145