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256990188 = 223713243421
BaseRepresentation
bin11110101000101…
…01101111101100
3122220120110021010
433110111233230
51011242141223
641300105220
76240244350
oct1724255754
9586513233
10256990188
11122078594
1272095210
134131c300
14261b9460
1517865393
hexf515bec

256990188 has 144 divisors (see below), whose sum is σ = 761139456. Its totient is φ = 66044160.

The previous prime is 256990183. The next prime is 256990211. The reversal of 256990188 is 881099652.

It is a happy number.

256990188 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (256990183) 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 47 ways as a sum of consecutive naturals, for example, 610218 + ... + 610638.

Almost surely, 2256990188 is an apocalyptic number.

256990188 is a gapful number since it is divisible by the number (28) 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 256990188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380569728).

256990188 is an abundant number, since it is smaller than the sum of its proper divisors (504149268).

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

256990188 is a wasteful number, since it uses less digits than its factorization.

256990188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 256990188 is about 16030.9135110885. The cubic root of 256990188 is about 635.7780266469.

The spelling of 256990188 in words is "two hundred fifty-six million, nine hundred ninety thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 43 52 78 84 86 91 129 156 169 172 182 258 273 301 338 364 421 507 516 546 559 602 676 842 903 1014 1092 1118 1183 1204 1263 1677 1684 1806 2028 2236 2366 2526 2947 3354 3549 3612 3913 4732 5052 5473 5894 6708 7098 7267 7826 8841 10946 11739 11788 14196 14534 15652 16419 17682 18103 21801 21892 23478 29068 32838 35364 36206 38311 43602 46956 50869 54309 65676 71149 72412 76622 87204 101738 108618 114933 126721 142298 152607 153244 203476 213447 217236 229866 235339 253442 284596 305214 380163 426894 459732 470678 498043 506884 610428 706017 760326 853788 941356 996086 1412034 1494129 1520652 1647373 1992172 2824068 2988258 3059407 3294746 4942119 5976516 6118814 6589492 9178221 9884238 12237628 18356442 19768476 21415849 36712884 42831698 64247547 85663396 128495094 256990188