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258521214 = 237311811097
BaseRepresentation
bin11110110100010…
…11100001111110
3200000110020102210
433122023201332
51012140134324
641353001250
76256252110
oct1732134176
9600406383
10258521214
11122a238a6
12726b3226
1341737143
14264973b0
1517a68d29
hexf68b87e

258521214 has 64 divisors (see below), whose sum is σ = 613896192. Its totient is φ = 71020800.

The previous prime is 258521213. The next prime is 258521243. The reversal of 258521214 is 412125852.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258521213) 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 31 ways as a sum of consecutive naturals, for example, 235114 + ... + 236210.

It is an arithmetic number, because the mean of its divisors is an integer number (9592128).

Almost surely, 2258521214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258521214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306948096).

258521214 is an abundant number, since it is smaller than the sum of its proper divisors (355374978).

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

258521214 is a wasteful number, since it uses less digits than its factorization.

258521214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321.

The product of its digits is 6400, while the sum is 30.

The square root of 258521214 is about 16078.5949012966. The cubic root of 258521214 is about 637.0380826106.

The spelling of 258521214 in words is "two hundred fifty-eight million, five hundred twenty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 181 186 217 362 434 543 651 1086 1097 1267 1302 2194 2534 3291 3801 5611 6582 7602 7679 11222 15358 16833 23037 33666 34007 39277 46074 68014 78554 102021 117831 198557 204042 235662 238049 397114 476098 595671 714147 1191342 1389899 1428294 2779798 4169697 6155267 8339394 12310534 18465801 36931602 43086869 86173738 129260607 258521214