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445358648 = 23723167547
BaseRepresentation
bin11010100010111…
…010001000111000
31011001000120012202
4122202322020320
51403002434043
6112105325332
714015325500
oct3242721070
91131016182
10445358648
112094365a9
12105196848
1371363237
1443210a00
15291731b8
hex1a8ba238

445358648 has 96 divisors (see below), whose sum is σ = 1019543040. Its totient is φ = 181621440.

The previous prime is 445358633. The next prime is 445358653. The reversal of 445358648 is 846853544.

It is a congruent 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, 813911 + ... + 814457.

It is an arithmetic number, because the mean of its divisors is an integer number (10620240).

Almost surely, 2445358648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445358648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509771520).

445358648 is an abundant number, since it is smaller than the sum of its proper divisors (574184392).

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

445358648 is a wasteful number, since it uses less digits than its factorization.

445358648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 654 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 47.

The square root of 445358648 is about 21103.5221704814. The cubic root of 445358648 is about 763.6657209252.

The spelling of 445358648 in words is "four hundred forty-five million, three hundred fifty-eight thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 67 98 124 134 196 217 248 268 392 434 469 536 547 868 938 1094 1519 1736 1876 2077 2188 3038 3283 3752 3829 4154 4376 6076 6566 7658 8308 12152 13132 14539 15316 16616 16957 26264 26803 29078 30632 33914 36649 53606 58156 67828 73298 101773 107212 116312 118699 135656 146596 203546 214424 237398 256543 293192 407092 474796 513086 814184 830893 949592 1026172 1136119 1661786 1795801 2052344 2272238 3323572 3591602 4544476 6647144 7183204 7952833 9088952 14366408 15905666 31811332 55669831 63622664 111339662 222679324 445358648