Search a number
-
+
250942848 = 27313172957
BaseRepresentation
bin11101111010100…
…01010110000000
3122111012012212120
432331101112000
51003220132343
640522324240
76134656542
oct1675212600
9574165776
10250942848
11119718092
1270059680
133ccb28c0
1425483692
151706d683
hexef51580

250942848 has 128 divisors (see below), whose sum is σ = 760324320. Its totient is φ = 72646656.

The previous prime is 250942847. The next prime is 250942859. The reversal of 250942848 is 848249052.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2509428482 = 125944625924702208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250942847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83386 + ... + 86342.

Almost surely, 2250942848 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 250942848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380162160).

250942848 is an abundant number, since it is smaller than the sum of its proper divisors (509381472).

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

250942848 is a wasteful number, since it uses less digits than its factorization.

250942848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 250942848 is about 15841.1757139424. The cubic root of 250942848 is about 630.7514741474.

The spelling of 250942848 in words is "two hundred fifty million, nine hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 272 312 384 408 416 442 544 624 663 816 832 884 1088 1248 1326 1632 1664 1768 2176 2496 2652 2957 3264 3536 4992 5304 5914 6528 7072 8871 10608 11828 14144 17742 21216 23656 28288 35484 38441 42432 47312 50269 70968 76882 84864 94624 100538 115323 141936 150807 153764 189248 201076 230646 283872 301614 307528 378496 402152 461292 567744 603228 615056 653497 804304 922584 1135488 1206456 1230112 1306994 1608608 1845168 1960491 2412912 2460224 2613988 3217216 3690336 3920982 4825824 4920448 5227976 6434432 7380672 7841964 9651648 10455952 14761344 15683928 19303296 20911904 31367856 41823808 62735712 83647616 125471424 250942848