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523412240 = 245134631087
BaseRepresentation
bin11111001100101…
…010001100010000
31100110220002121112
4133030222030100
52032443142430
6123534312452
715653634131
oct3714521420
91313802545
10523412240
112494a83aa
12127358728
13845916b0
144d72bc88
1530e40195
hex1f32a310

523412240 has 80 divisors (see below), whose sum is σ = 1314582528. Its totient is φ = 192665088.

The previous prime is 523412233. The next prime is 523412251. The reversal of 523412240 is 42214325.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 480977 + ... + 482063.

Almost surely, 2523412240 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 523412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657291264).

523412240 is an abundant number, since it is smaller than the sum of its proper divisors (791170288).

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

523412240 is a wasteful number, since it uses less digits than its factorization.

523412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 523412240 is about 22878.2044750020. The cubic root of 523412240 is about 805.9002518039.

Adding to 523412240 its reverse (42214325), we get a palindrome (565626565).

The spelling of 523412240 in words is "five hundred twenty-three million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 463 520 926 1040 1087 1852 2174 2315 3704 4348 4630 5435 6019 7408 8696 9260 10870 12038 14131 17392 18520 21740 24076 28262 30095 37040 43480 48152 56524 60190 70655 86960 96304 113048 120380 141310 226096 240760 282620 481520 503281 565240 1006562 1130480 2013124 2516405 4026248 5032810 6542653 8052496 10065620 13085306 20131240 26170612 32713265 40262480 52341224 65426530 104682448 130853060 261706120 523412240