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258198512 = 241121310259
BaseRepresentation
bin11110110001111…
…00101111110000
3122222211211202212
433120330233300
51012044323022
641342031252
76253436225
oct1730745760
9588754685
10258198512
11122823400
1272578528
13416532b0
142641194c
1517a033e2
hexf63cbf0

258198512 has 60 divisors (see below), whose sum is σ = 592227720. Its totient is φ = 108324480.

The previous prime is 258198509. The next prime is 258198539. The reversal of 258198512 is 215891852.

It is a self number, because there is not a number n which added to its sum of digits gives 258198512.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 20039 + ... + 30297.

It is an arithmetic number, because the mean of its divisors is an integer number (9870462).

Almost surely, 2258198512 is an apocalyptic number.

258198512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258198512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296113860).

258198512 is an abundant number, since it is smaller than the sum of its proper divisors (334029208).

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

258198512 is a wasteful number, since it uses less digits than its factorization.

258198512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10302 (or 10285 counting only the distinct ones).

The product of its digits is 57600, while the sum is 41.

The square root of 258198512 is about 16068.5566246630. The cubic root of 258198512 is about 636.7729089381.

The spelling of 258198512 in words is "two hundred fifty-eight million, one hundred ninety-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 176 208 242 286 484 572 968 1144 1573 1936 2288 3146 6292 10259 12584 20518 25168 41036 82072 112849 133367 164144 225698 266734 451396 533468 902792 1066936 1241339 1467037 1805584 2133872 2482678 2934074 4965356 5868148 9930712 11736296 16137407 19861424 23472592 32274814 64549628 129099256 258198512