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445040844 = 223296771889
BaseRepresentation
bin11010100001101…
…100100011001100
31011000102102021020
4122201230203030
51402412301334
6112054434140
714012533113
oct3241544314
91130372236
10445040844
11209239856
12105062950
13712816a1
144316ac7a
152910de49
hex1a86c8cc

445040844 has 48 divisors (see below), whose sum is σ = 1076392800. Its totient is φ = 142944256.

The previous prime is 445040839. The next prime is 445040861. The reversal of 445040844 is 448040544.

It is a super-5 number, since 5×4450408445 (a number of 44 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

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 15 ways as a sum of consecutive naturals, for example, 234652 + ... + 236540.

It is an arithmetic number, because the mean of its divisors is an integer number (22424850).

Almost surely, 2445040844 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 445040844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538196400).

445040844 is an abundant number, since it is smaller than the sum of its proper divisors (631351956).

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

445040844 is a wasteful number, since it uses less digits than its factorization.

445040844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 33.

The square root of 445040844 is about 21095.9911831608. The cubic root of 445040844 is about 763.4840293280.

The spelling of 445040844 in words is "four hundred forty-five million, forty thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 677 1354 1889 2031 2708 3778 4062 5667 7556 8124 11334 19633 22668 39266 54781 58899 78532 109562 117798 164343 219124 235596 328686 657372 1278853 2557706 3836559 5115412 7673118 15346236 37086737 74173474 111260211 148346948 222520422 445040844