Search a number
-
+
258634741 = 1314914021
BaseRepresentation
bin11110110101001…
…11001111110101
3200000200000011111
433122213033311
51012202302431
641355235021
76260234101
oct1732471765
9600600144
10258634741
11122aa1122
1272748a71
1341776a11
14264c6901
1517a8c7b1
hexf6a73f5

258634741 has 8 divisors (see below), whose sum is σ = 261204768. Its totient is φ = 256074000.

The previous prime is 258634721. The next prime is 258634759. The reversal of 258634741 is 147436852.

It is the 6566-th star number.

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

It is a 3-Lehmer number, since φ(258634741) divides (258634741-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 258634741 - 25 = 258634709 is a prime.

It is a deceptive number, since it divides R258634740.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 258634694 and 258634703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258634721) 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, 62311 + ... + 66331.

It is an arithmetic number, because the mean of its divisors is an integer number (32650596).

It is a Poulet number, since it divides 2258634740-1.

Almost surely, 2258634741 is an apocalyptic number.

It is an amenable number.

258634741 is a deficient number, since it is larger than the sum of its proper divisors (2570027).

258634741 is a wasteful number, since it uses less digits than its factorization.

258634741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4643.

The product of its digits is 161280, while the sum is 40.

The square root of 258634741 is about 16082.1248906977. The cubic root of 258634741 is about 637.1313185937.

The spelling of 258634741 in words is "two hundred fifty-eight million, six hundred thirty-four thousand, seven hundred forty-one".

Divisors: 1 131 491 4021 64321 526751 1974311 258634741