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258325256 = 23724116073
BaseRepresentation
bin11110110010110…
…11101100001000
3200000002021122002
433121123230020
51012112402011
641344450132
76254504600
oct1731335410
9600067562
10258325256
111228aa652
1272619948
1341698ba7
1426445c00
1517a2ac3b
hexf65bb08

258325256 has 48 divisors (see below), whose sum is σ = 577217340. Its totient is φ = 108003840.

The previous prime is 258325247. The next prime is 258325279. The reversal of 258325256 is 652523852.

It can be written as a sum of positive squares in 2 ways, for example, as 208340356 + 49984900 = 14434^2 + 7070^2 .

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8036 + ... + 24108.

Almost surely, 2258325256 is an apocalyptic number.

It is a pronic number, being equal to 16072×16073.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258325256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288608670).

258325256 is an abundant number, since it is smaller than the sum of its proper divisors (318892084).

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

258325256 is a wasteful number, since it uses less digits than its factorization.

258325256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16134 (or 16123 counting only the distinct ones).

The product of its digits is 144000, while the sum is 38.

The square root of 258325256 is about 16072.4999922227. The cubic root of 258325256 is about 636.8770845235.

The spelling of 258325256 in words is "two hundred fifty-eight million, three hundred twenty-five thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 164 196 287 328 392 574 1148 2009 2296 4018 8036 16072 16073 32146 64292 112511 128584 225022 450044 658993 787577 900088 1317986 1575154 2635972 3150308 4612951 5271944 6300616 9225902 18451804 32290657 36903608 64581314 129162628 258325256