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256075050 = 235271122171
BaseRepresentation
bin11110100001101…
…10010100101010
3122211211221221010
433100312110222
51011023400200
641224324350
76226413330
oct1720662452
9584757833
10256075050
11121602a80
12719136b6
134108b8ca
142601bb50
1517734150
hexf43652a

256075050 has 96 divisors (see below), whose sum is σ = 791806464. Its totient is φ = 53208000.

The previous prime is 256075009. The next prime is 256075051. The reversal of 256075050 is 50570652.

256075050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 256074999 and 256075017.

It is not an unprimeable number, because it can be changed into a prime (256075051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 465 + ... + 22635.

It is an arithmetic number, because the mean of its divisors is an integer number (8247984).

Almost surely, 2256075050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256075050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395903232).

256075050 is an abundant number, since it is smaller than the sum of its proper divisors (535731414).

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

256075050 is a wasteful number, since it uses less digits than its factorization.

256075050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22204 (or 22199 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 256075050 is about 16002.3451406349. The cubic root of 256075050 is about 635.0224639169.

The spelling of 256075050 in words is "two hundred fifty-six million, seventy-five thousand, fifty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 25 30 33 35 42 50 55 66 70 75 77 105 110 150 154 165 175 210 231 275 330 350 385 462 525 550 770 825 1050 1155 1650 1925 2310 3850 5775 11550 22171 44342 66513 110855 133026 155197 221710 243881 310394 332565 465591 487762 554275 665130 731643 775985 931182 1108550 1219405 1463286 1551970 1662825 1707167 2327955 2438810 3325650 3414334 3658215 3879925 4655910 5121501 6097025 7316430 7759850 8535835 10243002 11639775 12194050 17071670 18291075 23279550 25607505 36582150 42679175 51215010 85358350 128037525 256075050