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445446495 = 325131747953
BaseRepresentation
bin11010100011001…
…111100101011111
31011001012000201100
4122203033211133
51403013241440
6112111244143
714016142554
oct3243174537
91131160640
10445446495
112094965aa
12105219653
1371394210
1443234a2b
152918e230
hex1a8cf95f

445446495 has 96 divisors (see below), whose sum is σ = 900087552. Its totient is φ = 201793536.

The previous prime is 445446487. The next prime is 445446517. The reversal of 445446495 is 594644544.

445446495 is a `hidden beast` number, since 44 + 544 + 64 + 9 + 5 = 666.

It is not a de Polignac number, because 445446495 - 23 = 445446487 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 445446495.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 466939 + ... + 467891.

It is an arithmetic number, because the mean of its divisors is an integer number (9375912).

Almost surely, 2445446495 is an apocalyptic number.

445446495 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

445446495 is an abundant number, since it is smaller than the sum of its proper divisors (454641057).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

445446495 is a wasteful number, since it uses less digits than its factorization.

445446495 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1038 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 445446495 is about 21105.6034028881. The cubic root of 445446495 is about 763.7159286492.

The spelling of 445446495 in words is "four hundred forty-five million, four hundred forty-six thousand, four hundred ninety-five".

Divisors: 1 3 5 9 13 15 17 39 45 47 51 65 85 117 141 153 195 221 235 255 423 585 611 663 705 765 799 953 1105 1833 1989 2115 2397 2859 3055 3315 3995 4765 5499 7191 8577 9165 9945 10387 11985 12389 14295 16201 27495 31161 35955 37167 42885 44791 48603 51935 61945 81005 93483 111501 134373 145809 155805 185835 210613 223955 243015 403119 467415 557505 582283 631839 671865 729045 761447 1053065 1746849 1895517 2015595 2284341 2911415 3159195 3807235 5240547 6853023 8734245 9477585 9898811 11421705 26202735 29696433 34265115 49494055 89089299 148482165 445446495