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583084242 = 232132491813
BaseRepresentation
bin100010110000010…
…010100011010010
31111122011202012200
4202300102203102
52143232143432
6133505304030
720310064026
oct4260224322
91448152180
10583084242
1127a154904
12143335016
1393a55280
1457622386
15362caa7c
hex22c128d2

583084242 has 24 divisors (see below), whose sum is σ = 1360530444. Its totient is φ = 179410464.

The previous prime is 583084223. The next prime is 583084261. The reversal of 583084242 is 242480385.

It is an interprime number because it is at equal distance from previous prime (583084223) and next prime (583084261).

It can be written as a sum of positive squares in 2 ways, for example, as 579316761 + 3767481 = 24069^2 + 1941^2 .

It is a junction number, because it is equal to n+sod(n) for n = 583084197 and 583084206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1245673 + ... + 1246140.

Almost surely, 2583084242 is an apocalyptic number.

583084242 is an abundant number, since it is smaller than the sum of its proper divisors (777446202).

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

583084242 is a wasteful number, since it uses less digits than its factorization.

583084242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491834 (or 2491831 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 583084242 is about 24147.1373458636. The cubic root of 583084242 is about 835.4307085078.

The spelling of 583084242 in words is "five hundred eighty-three million, eighty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 2491813 4983626 7475439 14950878 22426317 32393569 44852634 64787138 97180707 194361414 291542121 583084242