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2058735825 = 335219315803
BaseRepresentation
bin111101010110101…
…1101000011010001
312022110212121122000
41322231131003101
513204014021300
6540141504213
7102005652156
oct17255350321
95273777560
102058735825
11967114773
12495572069
1326a6a0aa3
141575c822d
15c0b15c00
hex7ab5d0d1

2058735825 has 48 divisors (see below), whose sum is σ = 3801810240. Its totient is φ = 1092234240.

The previous prime is 2058735769. The next prime is 2058735841. The reversal of 2058735825 is 5285378502.

It is not a de Polignac number, because 2058735825 - 223 = 2050347217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122374 + ... + 138176.

It is an arithmetic number, because the mean of its divisors is an integer number (79204380).

Almost surely, 22058735825 is an apocalyptic number.

2058735825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2058735825 is a deficient number, since it is larger than the sum of its proper divisors (1743074415).

2058735825 is a wasteful number, since it uses less digits than its factorization.

2058735825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16015 (or 16004 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 2058735825 is about 45373.2941828120. The cubic root of 2058735825 is about 1272.1359936034.

The spelling of 2058735825 in words is "two billion, fifty-eight million, seven hundred thirty-five thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 193 225 579 675 965 1737 2895 4825 5211 8685 14475 15803 26055 43425 47409 79015 130275 142227 237045 395075 426681 711135 1185225 2133405 3049979 3555675 9149937 10667025 15249895 27449811 45749685 76249475 82349433 137249055 228748425 411747165 686245275 2058735825