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445742145 = 32537267713
BaseRepresentation
bin11010100100010…
…111110001000001
31011001202001021100
4122210113301001
51403102222040
6112121445013
714021513532
oct3244276101
91131661240
10445742145
11209678742
12105340769
1371468964
14432b0689
15291ebb30
hex1a917c41

445742145 has 24 divisors (see below), whose sum is σ = 793504296. Its totient is φ = 231303168.

The previous prime is 445742117. The next prime is 445742153. The reversal of 445742145 is 541247544.

445742145 is a `hidden beast` number, since 44 + 574 + 2 + 1 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37015056 + 408727089 = 6084^2 + 20217^2 .

It is not a de Polignac number, because 445742145 - 25 = 445742113 is a prime.

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 132192 + ... + 135521.

It is an arithmetic number, because the mean of its divisors is an integer number (33062679).

Almost surely, 2445742145 is an apocalyptic number.

445742145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

445742145 is a deficient number, since it is larger than the sum of its proper divisors (347762151).

445742145 is a wasteful number, since it uses less digits than its factorization.

445742145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267761 (or 267758 counting only the distinct ones).

The product of its digits is 89600, while the sum is 36.

The square root of 445742145 is about 21112.6063052386. The cubic root of 445742145 is about 763.8848547950.

Adding to 445742145 its reverse (541247544), we get a palindrome (986989689).

The spelling of 445742145 in words is "four hundred forty-five million, seven hundred forty-two thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 267713 803139 1338565 2409417 4015695 9905381 12047085 29716143 49526905 89148429 148580715 445742145