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445534020 = 22345377433
BaseRepresentation
bin11010100011100…
…100111101000100
31011001100110210000
4122203210331010
51403024042040
6112113201300
714016656001
oct3243447504
91131313700
10445534020
11209546338
12105260230
13713c4cc9
14432588a8
15291aa130
hex1a8e4f44

445534020 has 120 divisors (see below), whose sum is σ = 1435624344. Its totient is φ = 115582464.

The previous prime is 445533973. The next prime is 445534069. The reversal of 445534020 is 20435544.

It can be written as a sum of positive squares in 4 ways, for example, as 34012224 + 411521796 = 5832^2 + 20286^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56224 + ... + 63656.

Almost surely, 2445534020 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 445534020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717812172).

445534020 is an abundant number, since it is smaller than the sum of its proper divisors (990090324).

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

445534020 is a wasteful number, since it uses less digits than its factorization.

445534020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7491 (or 7480 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 445534020 is about 21107.6768025285. The cubic root of 445534020 is about 763.7659457742.

Adding to 445534020 its reverse (20435544), we get a palindrome (465969564).

The spelling of 445534020 in words is "four hundred forty-five million, five hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 81 90 108 111 135 148 162 180 185 222 270 324 333 370 405 444 540 555 666 740 810 999 1110 1332 1620 1665 1998 2220 2997 3330 3996 4995 5994 6660 7433 9990 11988 14866 14985 19980 22299 29732 29970 37165 44598 59940 66897 74330 89196 111495 133794 148660 200691 222990 267588 275021 334485 401382 445980 550042 602073 668970 802764 825063 1003455 1100084 1204146 1337940 1375105 1650126 2006910 2408292 2475189 2750210 3010365 3300252 4013820 4125315 4950378 5500420 6020730 7425567 8250630 9900756 12041460 12375945 14851134 16501260 22276701 24751890 29702268 37127835 44553402 49503780 74255670 89106804 111383505 148511340 222767010 445534020