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645474141 = 321329281677
BaseRepresentation
bin100110011110010…
…010011101011101
31122222120111001200
4212132102131131
52310220133031
6144014430113
721665303544
oct4636223535
91588514050
10645474141
11301398304
12160202339
13a395ac80
1461a2315b
153ba018e6
hex2679275d

645474141 has 48 divisors (see below), whose sum is σ = 1043930160. Its totient is φ = 381588480.

The previous prime is 645474127. The next prime is 645474143. The reversal of 645474141 is 141474546.

It is a happy number.

645474141 is a `hidden beast` number, since 6 + 45 + 474 + 141 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 42968025 + 602506116 = 6555^2 + 24546^2 .

It is not a de Polignac number, because 645474141 - 210 = 645473117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 645474096 and 645474105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645474143) 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 47 ways as a sum of consecutive naturals, for example, 953095 + ... + 953771.

It is an arithmetic number, because the mean of its divisors is an integer number (21748545).

Almost surely, 2645474141 is an apocalyptic number.

It is an amenable number.

645474141 is a deficient number, since it is larger than the sum of its proper divisors (398456019).

645474141 is a wasteful number, since it uses less digits than its factorization.

645474141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 1003 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 645474141 is about 25406.1831253732. The cubic root of 645474141 is about 864.2239203894.

The spelling of 645474141 in words is "six hundred forty-five million, four hundred seventy-four thousand, one hundred forty-one".

Divisors: 1 3 9 13 29 39 87 117 261 281 377 677 843 1131 2031 2529 3393 3653 6093 8149 8801 10959 19633 24447 26403 32877 58899 73341 79209 105937 176697 190237 255229 317811 570711 765687 953433 1712133 2297061 2473081 5516873 7419243 16550619 22257729 49651857 71719349 215158047 645474141