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258717468 = 223293771283
BaseRepresentation
bin11110110101110…
…11011100011100
3200000211012122110
433122323130130
51012212424333
641401114020
76261030222
oct1732733434
9600735573
10258717468
11123048299
1272788910
13417a5579
1426508b12
1517aa7063
hexf6bb71c

258717468 has 96 divisors (see below), whose sum is σ = 652700160. Its totient is φ = 79591680.

The previous prime is 258717463. The next prime is 258717493. The reversal of 258717468 is 864717852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258717463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 914055 + ... + 914337.

It is an arithmetic number, because the mean of its divisors is an integer number (6798960).

Almost surely, 2258717468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258717468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326350080).

258717468 is an abundant number, since it is smaller than the sum of its proper divisors (393982692).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

258717468 is a wasteful number, since it uses less digits than its factorization.

258717468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 425 counting only the distinct ones).

The product of its digits is 752640, while the sum is 48.

The square root of 258717468 is about 16084.6967021452. The cubic root of 258717468 is about 637.1992423687.

The spelling of 258717468 in words is "two hundred fifty-eight million, seven hundred seventeen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 29 37 58 71 74 87 111 116 142 148 174 213 222 283 284 348 426 444 566 849 852 1073 1132 1698 2059 2146 2627 3219 3396 4118 4292 5254 6177 6438 7881 8207 8236 10471 10508 12354 12876 15762 16414 20093 20942 24621 24708 31413 31524 32828 40186 41884 49242 60279 62826 76183 80372 98484 120558 125652 152366 228549 241116 303659 304732 457098 582697 607318 743441 910977 914196 1165394 1214636 1486882 1748091 1821954 2230323 2330788 2973764 3496182 3643908 4460646 6992364 8921292 21559789 43119578 64679367 86239156 129358734 258717468