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445445040 = 24351856021
BaseRepresentation
bin11010100011001…
…111001110110000
31011001011221201110
4122203033032300
51403013220130
6112111233320
714016135405
oct3243171660
91131157643
10445445040
112094954a7
12105218840
1371393661
14432342ac
152918dab0
hex1a8cf3b0

445445040 has 40 divisors (see below), whose sum is σ = 1380880368. Its totient is φ = 118785280.

The previous prime is 445445009. The next prime is 445445081. The reversal of 445445040 is 40544544.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 445444989 and 445445007.

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, 927771 + ... + 928250.

Almost surely, 2445445040 is an apocalyptic number.

445445040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445445040 is an abundant number, since it is smaller than the sum of its proper divisors (935435328).

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

445445040 is a wasteful number, since it uses less digits than its factorization.

445445040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856037 (or 1856031 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 445445040 is about 21105.5689333408. The cubic root of 445445040 is about 763.7150971181.

Adding to 445445040 its reverse (40544544), we get a palindrome (485989584).

It can be divided in two parts, 4454 and 45040, that added together give a palindrome (49494).

The spelling of 445445040 in words is "four hundred forty-five million, four hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1856021 3712042 5568063 7424084 9280105 11136126 14848168 18560210 22272252 27840315 29696336 37120420 44544504 55680630 74240840 89089008 111361260 148481680 222722520 445445040