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445185680 = 24559257367
BaseRepresentation
bin11010100010001…
…111111010010000
31011000200202221112
4122202033322100
51402431420210
6112101512452
714014005302
oct3242177220
91130622845
10445185680
11209328655
12105112728
13713025a4
14431a7972
152913bd05
hex1a88fe90

445185680 has 80 divisors (see below), whose sum is σ = 1059575040. Its totient is φ = 173899776.

The previous prime is 445185659. The next prime is 445185703. The reversal of 445185680 is 86581544.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1212857 + ... + 1213223.

It is an arithmetic number, because the mean of its divisors is an integer number (13244688).

Almost surely, 2445185680 is an apocalyptic number.

445185680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445185680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529787520).

445185680 is an abundant number, since it is smaller than the sum of its proper divisors (614389360).

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

445185680 is a wasteful number, since it uses less digits than its factorization.

445185680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 41.

The square root of 445185680 is about 21099.4236888120. The cubic root of 445185680 is about 763.5668441832.

The spelling of 445185680 in words is "four hundred forty-five million, one hundred eighty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 257 295 367 472 514 590 734 944 1028 1180 1285 1468 1835 2056 2360 2570 2936 3670 4112 4720 5140 5872 7340 10280 14680 15163 20560 21653 29360 30326 43306 60652 75815 86612 94319 108265 121304 151630 173224 188638 216530 242608 303260 346448 377276 433060 471595 606520 754552 866120 943190 1213040 1509104 1732240 1886380 3772760 5564821 7545520 11129642 22259284 27824105 44518568 55648210 89037136 111296420 222592840 445185680