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250984968 = 233131674817
BaseRepresentation
bin11101111010110…
…11101000001000
3122111021100122120
432331123220020
51003223004333
640523251240
76135223413
oct1675335010
9574240576
10250984968
111197467a3
1270079b20
133ccc8b20
1425494b7a
151707adb3
hexef5ba08

250984968 has 64 divisors (see below), whose sum is σ = 679916160. Its totient is φ = 76747776.

The previous prime is 250984967. The next prime is 250984973. The reversal of 250984968 is 869489052.

It is a super-2 number, since 2×2509849682 = 125986908323922048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 250984968.

It is not an unprimeable number, because it can be changed into a prime (250984963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49696 + ... + 54512.

It is an arithmetic number, because the mean of its divisors is an integer number (10623690).

Almost surely, 2250984968 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 250984968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339958080).

250984968 is an abundant number, since it is smaller than the sum of its proper divisors (428931192).

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

250984968 is a wasteful number, since it uses less digits than its factorization.

250984968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The square root of 250984968 is about 15842.5051049384. The cubic root of 250984968 is about 630.7867620839.

The spelling of 250984968 in words is "two hundred fifty million, nine hundred eighty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 167 312 334 501 668 1002 1336 2004 2171 4008 4342 4817 6513 8684 9634 13026 14451 17368 19268 26052 28902 38536 52104 57804 62621 115608 125242 187863 250484 375726 500968 751452 804439 1502904 1608878 2413317 3217756 4826634 6435512 9653268 10457707 19306536 20915414 31373121 41830828 62746242 83661656 125492484 250984968