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258628669 = 1327497237
BaseRepresentation
bin11110110101001…
…01110000111101
3200000122200211121
433122211300331
51012202104134
641355150541
76260210305
oct1732456075
9600580747
10258628669
11122a97602
1272745451
1341774020
14264c4605
1517a8aab4
hexf6a5c3d

258628669 has 8 divisors (see below), whose sum is σ = 278663000. Its totient is φ = 238614336.

The previous prime is 258628663. The next prime is 258628693. The reversal of 258628669 is 966826852.

It can be written as a sum of positive squares in 4 ways, for example, as 1026169 + 257602500 = 1013^2 + 16050^2 .

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 258628669 - 23 = 258628661 is a prime.

It is a super-2 number, since 2×2586286692 = 133777576857423122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258628661) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 32119 + ... + 39355.

It is an arithmetic number, because the mean of its divisors is an integer number (34832875).

Almost surely, 2258628669 is an apocalyptic number.

It is an amenable number.

258628669 is a deficient number, since it is larger than the sum of its proper divisors (20034331).

258628669 is a wasteful number, since it uses less digits than its factorization.

258628669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9999.

The product of its digits is 2488320, while the sum is 52.

The square root of 258628669 is about 16081.9361085660. The cubic root of 258628669 is about 637.1263325509.

The spelling of 258628669 in words is "two hundred fifty-eight million, six hundred twenty-eight thousand, six hundred sixty-nine".

Divisors: 1 13 2749 7237 35737 94081 19894513 258628669