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445532240 = 2454123313
BaseRepresentation
bin11010100011100…
…100100001010000
31011001100101100002
4122203210201100
51403024012430
6112113145132
714016650546
oct3243444120
91131311302
10445532240
11209544a6a
1210525b1a8
13713c425a
1443257d96
15291a9845
hex1a8e4850

445532240 has 60 divisors (see below), whose sum is σ = 1062064092. Its totient is φ = 173813760.

The previous prime is 445532237. The next prime is 445532251. The reversal of 445532240 is 42235544.

It can be written as a sum of positive squares in 6 ways, for example, as 61842496 + 383689744 = 7864^2 + 19588^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132824 + ... + 136136.

Almost surely, 2445532240 is an apocalyptic number.

445532240 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 445532240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531032046).

445532240 is an abundant number, since it is smaller than the sum of its proper divisors (616531852).

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

445532240 is a wasteful number, since it uses less digits than its factorization.

445532240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3408 (or 3361 counting only the distinct ones).

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

The square root of 445532240 is about 21107.6346377324. The cubic root of 445532240 is about 763.7649286389.

Adding to 445532240 its reverse (42235544), we get a palindrome (487767784).

The spelling of 445532240 in words is "four hundred forty-five million, five hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 1681 3280 3313 3362 6626 6724 8405 13252 13448 16565 16810 26504 26896 33130 33620 53008 66260 67240 132520 134480 135833 265040 271666 543332 679165 1086664 1358330 2173328 2716660 5433320 5569153 10866640 11138306 22276612 27845765 44553224 55691530 89106448 111383060 222766120 445532240