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523082240 = 295204329
BaseRepresentation
bin11111001011011…
…001101000000000
31100110021022221022
4133023121220000
52032402112430
6123523245012
715651061052
oct3713315000
91313238838
10523082240
112492a247a
12127219768
13844a7425
144d6838d2
1530dc74e5
hex1f2d9a00

523082240 has 40 divisors (see below), whose sum is σ = 1254177540. Its totient is φ = 209231872.

The previous prime is 523082237. The next prime is 523082249. The reversal of 523082240 is 42280325.

It can be written as a sum of positive squares in 2 ways, for example, as 474194176 + 48888064 = 21776^2 + 6992^2 .

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

It is not an unprimeable number, because it can be changed into a prime (523082249) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 99605 + ... + 104724.

Almost surely, 2523082240 is an apocalyptic number.

It is an amenable number.

523082240 is an abundant number, since it is smaller than the sum of its proper divisors (731095300).

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

523082240 is an equidigital number, since it uses as much as digits as its factorization.

523082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204352 (or 204336 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 523082240 is about 22870.9912334380. The cubic root of 523082240 is about 805.7308486874.

The spelling of 523082240 in words is "five hundred twenty-three million, eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 204329 408658 817316 1021645 1634632 2043290 3269264 4086580 6538528 8173160 13077056 16346320 26154112 32692640 52308224 65385280 104616448 130770560 261541120 523082240