Search a number
-
+
254840625 = 3255131741
BaseRepresentation
bin11110011000010…
…00111100110001
3122202112020121200
433030020330301
51010214400000
641142041413
76213052404
oct1714107461
9582466550
10254840625
1112093a596
1271419269
1340a48a90
1425bb9d3b
151758d500
hexf308f31

254840625 has 144 divisors (see below), whose sum is σ = 537434352. Its totient is φ = 115200000.

The previous prime is 254840569. The next prime is 254840629. The reversal of 254840625 is 526048452.

It is a happy number.

254840625 is a `hidden beast` number, since 25 + 4 + 8 + 4 + 0 + 625 = 666.

254840625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 152992161 + 101848464 = 12369^2 + 10092^2 .

It is not a de Polignac number, because 254840625 - 26 = 254840561 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 254840625.

It is not an unprimeable number, because it can be changed into a prime (254840629) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6215605 + ... + 6215645.

It is an arithmetic number, because the mean of its divisors is an integer number (3732183).

Almost surely, 2254840625 is an apocalyptic number.

254840625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

254840625 is an abundant number, since it is smaller than the sum of its proper divisors (282593727).

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

254840625 is a wasteful number, since it uses less digits than its factorization.

254840625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 254840625 is about 15963.7284178853. The cubic root of 254840625 is about 634.0004320536. Note that the first 3 decimals are identical.

The spelling of 254840625 in words is "two hundred fifty-four million, eight hundred forty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 25 39 41 45 51 65 75 85 117 123 125 153 195 205 221 225 255 325 369 375 425 533 585 615 625 663 697 765 975 1025 1105 1125 1275 1599 1625 1845 1875 1989 2091 2125 2665 2925 3075 3125 3315 3485 3825 4797 4875 5125 5525 5625 6273 6375 7995 8125 9061 9225 9375 9945 10455 10625 13325 14625 15375 16575 17425 19125 23985 24375 25625 27183 27625 28125 31365 31875 39975 40625 45305 46125 49725 52275 53125 66625 73125 76875 81549 82875 87125 95625 119925 121875 128125 135915 138125 156825 159375 199875 226525 230625 248625 261375 333125 365625 384375 407745 414375 435625 478125 599625 679575 690625 784125 999375 1132625 1153125 1243125 1306875 1665625 2038725 2071875 2178125 2998125 3397875 3920625 4996875 5663125 6215625 6534375 10193625 14990625 16989375 19603125 28315625 50968125 84946875 254840625