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2439412240 = 24559351421
BaseRepresentation
bin1001000101100110…
…0111101000010000
320022000011222111111
42101121213220100
514443442142430
61042021023104
7114310443016
oct22131475020
96260158444
102439412240
111041a91581
12580b54a94
132cb507ac5
14191d9c8b6
15e425dc2a
hex91667a10

2439412240 has 40 divisors (see below), whose sum is σ = 5681308248. Its totient is φ = 974100480.

The previous prime is 2439412211. The next prime is 2439412259. The reversal of 2439412240 is 422149342.

It can be written as a sum of positive squares in 4 ways, for example, as 433805584 + 2005606656 = 20828^2 + 44784^2 .

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

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 7 ways as a sum of consecutive naturals, for example, 21730 + ... + 73150.

Almost surely, 22439412240 is an apocalyptic number.

2439412240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2439412240 is an abundant number, since it is smaller than the sum of its proper divisors (3241896008).

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

2439412240 is a wasteful number, since it uses less digits than its factorization.

2439412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52027 (or 52021 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 2439412240 is about 49390.4063558906. The cubic root of 2439412240 is about 1346.1549924662.

The spelling of 2439412240 in words is "two billion, four hundred thirty-nine million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 593 1186 2372 2965 4744 5930 9488 11860 23720 47440 51421 102842 205684 257105 411368 514210 822736 1028420 2056840 4113680 30492653 60985306 121970612 152463265 243941224 304926530 487882448 609853060 1219706120 2439412240