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5825609226 = 2323723936599
BaseRepresentation
bin1010110110011101…
…11011111000001010
3120000222220121111200
411123032323320022
543412323443401
62402023005030
7264235601313
oct53316737012
916028817450
105825609226
11251a44a488
121166b99776
1371ac0a068
143d39b560a
1524168b686
hex15b3bbe0a

5825609226 has 48 divisors (see below), whose sum is σ = 13017888000. Its totient is φ = 1881429984.

The previous prime is 5825609203. The next prime is 5825609243. The reversal of 5825609226 is 6229065285.

5825609226 is a `hidden beast` number, since 5 + 82 + 560 + 9 + 2 + 2 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140875 + ... + 177473.

It is an arithmetic number, because the mean of its divisors is an integer number (271206000).

Almost surely, 25825609226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5825609226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6508944000).

5825609226 is an abundant number, since it is smaller than the sum of its proper divisors (7192278774).

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

5825609226 is a wasteful number, since it uses less digits than its factorization.

5825609226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36883 (or 36880 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5825609226 is about 76325.6786802450. The cubic root of 5825609226 is about 1799.3422726560.

The spelling of 5825609226 in words is "five billion, eight hundred twenty-five million, six hundred nine thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 37 74 111 222 239 333 478 666 717 1434 2151 4302 8843 17686 26529 36599 53058 73198 79587 109797 159174 219594 329391 658782 1354163 2708326 4062489 8124978 8747161 12187467 17494322 24374934 26241483 52482966 78724449 157448898 323644957 647289914 970934871 1941869742 2912804613 5825609226