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445005132 = 22311131731499
BaseRepresentation
bin11010100001100…
…011110101001100
31011000100121021120
4122201203311030
51402410131012
6112054000540
714012324025
oct3241436514
91130317246
10445005132
11209214a40
12105046150
137126b360
144315bc4c
152910358c
hex1a863d4c

445005132 has 96 divisors (see below), whose sum is σ = 1227744000. Its totient is φ = 123674880.

The previous prime is 445005131. The next prime is 445005149. The reversal of 445005132 is 231500544.

It is not an unprimeable number, because it can be changed into a prime (445005131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296119 + ... + 297617.

It is an arithmetic number, because the mean of its divisors is an integer number (12789000).

Almost surely, 2445005132 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 445005132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613872000).

445005132 is an abundant number, since it is smaller than the sum of its proper divisors (782738868).

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

445005132 is a wasteful number, since it uses less digits than its factorization.

445005132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 445005132 is about 21095.1447494441. The cubic root of 445005132 is about 763.4636070295.

Adding to 445005132 its reverse (231500544), we get a palindrome (676505676).

The spelling of 445005132 in words is "four hundred forty-five million, five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 173 286 346 429 519 572 692 858 1038 1499 1716 1903 2076 2249 2998 3806 4497 4498 5709 5996 6747 7612 8994 8996 11418 13494 16489 17988 19487 22836 24739 26988 32978 38974 49467 49478 58461 65956 74217 77948 98934 98956 116922 148434 197868 214357 233844 259327 296868 428714 518654 643071 777981 857428 1037308 1286142 1555962 2572284 2852597 3111924 3371251 5705194 6742502 8557791 10113753 11410388 13485004 17115582 20227506 34231164 37083761 40455012 74167522 111251283 148335044 222502566 445005132