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445543040 = 2752632647
BaseRepresentation
bin11010100011100…
…111001010000000
31011001100221011002
4122203213022000
51403024334130
6112113311132
714020024205
oct3243471200
91131327132
10445543040
11209552098
121052654a8
13713c9147
144325bcac
15291acb45
hex1a8e7280

445543040 has 64 divisors (see below), whose sum is σ = 1069580160. Its totient is φ = 177472512.

The previous prime is 445543013. The next prime is 445543057. The reversal of 445543040 is 40345544.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 445542994 and 445543012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166997 + ... + 169643.

It is an arithmetic number, because the mean of its divisors is an integer number (16712190).

Almost surely, 2445543040 is an apocalyptic number.

445543040 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 445543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534790080).

445543040 is an abundant number, since it is smaller than the sum of its proper divisors (624037120).

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

445543040 is a wasteful number, since it uses less digits than its factorization.

445543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

The square root of 445543040 is about 21107.8904677848. The cubic root of 445543040 is about 763.7710999802.

Adding to 445543040 its reverse (40345544), we get a palindrome (485888584).

The spelling of 445543040 in words is "four hundred forty-five million, five hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 263 320 526 640 1052 1315 2104 2630 2647 4208 5260 5294 8416 10520 10588 13235 16832 21040 21176 26470 33664 42080 42352 52940 84160 84704 105880 168320 169408 211760 338816 423520 696161 847040 1392322 1694080 2784644 3480805 5569288 6961610 11138576 13923220 22277152 27846440 44554304 55692880 89108608 111385760 222771520 445543040