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445456505 = 51337185221
BaseRepresentation
bin11010100011010…
…010000001111001
31011001012112110002
4122203102001321
51403014102010
6112111402345
714016214004
oct3243220171
91131175402
10445456505
112094a307a
121052233b5
1371398940
144323853b
15291921a5
hex1a8d2079

445456505 has 16 divisors (see below), whose sum is σ = 591228624. Its totient is φ = 320060160.

The previous prime is 445456499. The next prime is 445456507. The reversal of 445456505 is 505654544.

It can be written as a sum of positive squares in 8 ways, for example, as 3279721 + 442176784 = 1811^2 + 21028^2 .

It is not a de Polignac number, because 445456505 - 210 = 445455481 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (445456507) 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 15 ways as a sum of consecutive naturals, for example, 90206 + ... + 95015.

It is an arithmetic number, because the mean of its divisors is an integer number (36951789).

Almost surely, 2445456505 is an apocalyptic number.

It is an amenable number.

445456505 is a deficient number, since it is larger than the sum of its proper divisors (145772119).

445456505 is a wasteful number, since it uses less digits than its factorization.

445456505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185276.

The product of its (nonzero) digits is 240000, while the sum is 38.

The square root of 445456505 is about 21105.8405423712. The cubic root of 445456505 is about 763.7216493057.

The spelling of 445456505 in words is "four hundred forty-five million, four hundred fifty-six thousand, five hundred five".

Divisors: 1 5 13 37 65 185 481 2405 185221 926105 2407873 6853177 12039365 34265885 89091301 445456505