Search a number
-
+
250017328 = 241113710369
BaseRepresentation
bin11101110011011…
…11011000110000
3122102110012022001
432321233120300
51003001023303
640450423344
76124053331
oct1671573060
9572405261
10250017328
111191457a0
126b891b54
133ca4a562
14252c2288
1516e3931d
hexee6f630

250017328 has 40 divisors (see below), whose sum is σ = 532354320. Its totient is φ = 112803840.

The previous prime is 250017311. The next prime is 250017329. The reversal of 250017328 is 823710052.

250017328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 250017296 and 250017305.

It is not an unprimeable number, because it can be changed into a prime (250017329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18928 + ... + 29296.

It is an arithmetic number, because the mean of its divisors is an integer number (13308858).

Almost surely, 2250017328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 250017328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266177160).

250017328 is an abundant number, since it is smaller than the sum of its proper divisors (282336992).

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

250017328 is a wasteful number, since it uses less digits than its factorization.

250017328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10525 (or 10519 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 250017328 is about 15811.9362508201. The cubic root of 250017328 is about 629.9750792191.

The spelling of 250017328 in words is "two hundred fifty million, seventeen thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 137 176 274 548 1096 1507 2192 3014 6028 10369 12056 20738 24112 41476 82952 114059 165904 228118 456236 912472 1420553 1824944 2841106 5682212 11364424 15626083 22728848 31252166 62504332 125008664 250017328