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258348129 = 31353124987
BaseRepresentation
bin11110110011000…
…01010001100001
3200000010110000020
433121201101201
51012114120004
641345144053
76254631354
oct1731412141
9600113006
10258348129
11122915856
127262b029
13416a6420
142645029b
1517a328d9
hexf661461

258348129 has 16 divisors (see below), whose sum is σ = 377963712. Its totient is φ = 155982528.

The previous prime is 258348119. The next prime is 258348137. The reversal of 258348129 is 921843852.

It is not a de Polignac number, because 258348129 - 215 = 258315361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (258348119) 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 15 ways as a sum of consecutive naturals, for example, 60427 + ... + 64560.

It is an arithmetic number, because the mean of its divisors is an integer number (23622732).

Almost surely, 2258348129 is an apocalyptic number.

It is an amenable number.

258348129 is a deficient number, since it is larger than the sum of its proper divisors (119615583).

258348129 is a wasteful number, since it uses less digits than its factorization.

258348129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125056.

The product of its digits is 138240, while the sum is 42.

The square root of 258348129 is about 16073.2115334802. The cubic root of 258348129 is about 636.8958810591.

The spelling of 258348129 in words is "two hundred fifty-eight million, three hundred forty-eight thousand, one hundred twenty-nine".

Divisors: 1 3 13 39 53 159 689 2067 124987 374961 1624831 4874493 6624311 19872933 86116043 258348129