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256557150 = 23252836869
BaseRepresentation
bin11110100101011…
…00000001011110
3122212202110020200
433102230001132
51011134312100
641242524330
76233462013
oct1722540136
9585673220
10256557150
11121902203
1271b066a6
13411ca185
142610570a
15177cbe00
hexf4ac05e

256557150 has 72 divisors (see below), whose sum is σ = 697689720. Its totient is φ = 67581120.

The previous prime is 256557139. The next prime is 256557163. The reversal of 256557150 is 51755652.

It is a happy number.

256557150 is a `hidden beast` number, since 2 + 56 + 557 + 1 + 50 = 666.

256557150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2565571502 = 131643142432245000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33916 + ... + 40784.

It is an arithmetic number, because the mean of its divisors is an integer number (9690135).

Almost surely, 2256557150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256557150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348844860).

256557150 is an abundant number, since it is smaller than the sum of its proper divisors (441132570).

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

256557150 is a wasteful number, since it uses less digits than its factorization.

256557150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6970 (or 6962 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The square root of 256557150 is about 16017.4014746463. The cubic root of 256557150 is about 635.4207226950.

The spelling of 256557150 in words is "two hundred fifty-six million, five hundred fifty-seven thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 83 90 150 166 225 249 415 450 498 747 830 1245 1494 2075 2490 3735 4150 6225 6869 7470 12450 13738 18675 20607 34345 37350 41214 61821 68690 103035 123642 171725 206070 309105 343450 515175 570127 618210 1030350 1140254 1545525 1710381 2850635 3091050 3420762 5131143 5701270 8551905 10262286 14253175 17103810 25655715 28506350 42759525 51311430 85519050 128278575 256557150