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258731801 = 10111292269
BaseRepresentation
bin11110110101111…
…10111100011001
3200000211221022022
433122332330121
51012213404201
641401304225
76261120056
oct1732767431
9600757268
10258731801
11123058039
1272795075
13417abc53
142651002d
1517aab41b
hexf6bef19

258731801 has 8 divisors (see below), whose sum is σ = 261640200. Its totient is φ = 255830400.

The previous prime is 258731779. The next prime is 258731831. The reversal of 258731801 is 108137852.

It can be written as a sum of positive squares in 4 ways, for example, as 5953600 + 252778201 = 2440^2 + 15899^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 258731801 - 210 = 258730777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258731831) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 112895 + ... + 115163.

It is an arithmetic number, because the mean of its divisors is an integer number (32705025).

Almost surely, 2258731801 is an apocalyptic number.

It is an amenable number.

258731801 is a deficient number, since it is larger than the sum of its proper divisors (2908399).

258731801 is a wasteful number, since it uses less digits than its factorization.

258731801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499.

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 258731801 is about 16085.1422436981. The cubic root of 258731801 is about 637.2110091403.

The spelling of 258731801 in words is "two hundred fifty-eight million, seven hundred thirty-one thousand, eight hundred one".

Divisors: 1 101 1129 2269 114029 229169 2561701 258731801