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250996992 = 28319103167
BaseRepresentation
bin11101111010111…
…10100100000000
3122111021222010220
432331132210000
51003223400432
640523423040
76135303441
oct1675364400
9574258126
10250996992
11119754834
1270084a80
134000143c
14254992c8
151707e72c
hexef5e900

250996992 has 144 divisors (see below), whose sum is σ = 714255360. Its totient is φ = 78022656.

The previous prime is 250996927. The next prime is 250997041. The reversal of 250996992 is 299699052.

250996992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1502893 + ... + 1503059.

Almost surely, 2250996992 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 250996992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357127680).

250996992 is an abundant number, since it is smaller than the sum of its proper divisors (463258368).

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

250996992 is a wasteful number, since it uses less digits than its factorization.

250996992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 51.

The square root of 250996992 is about 15842.8845858322. The cubic root of 250996992 is about 630.7968350097.

The spelling of 250996992 in words is "two hundred fifty million, nine hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 103 114 128 152 167 192 206 228 256 304 309 334 384 412 456 501 608 618 668 768 824 912 1002 1216 1236 1336 1648 1824 1957 2004 2432 2472 2672 3173 3296 3648 3914 4008 4864 4944 5344 5871 6346 6592 7296 7828 8016 9519 9888 10688 11742 12692 13184 14592 15656 16032 17201 19038 19776 21376 23484 25384 26368 31312 32064 34402 38076 39552 42752 46968 50768 51603 62624 64128 68804 76152 79104 93936 101536 103206 125248 128256 137608 152304 187872 203072 206412 250496 275216 304608 326819 375744 406144 412824 500992 550432 609216 653638 751488 812288 825648 980457 1100864 1218432 1307276 1502976 1651296 1960914 2201728 2436864 2614552 3302592 3921828 4403456 5229104 6605184 7843656 10458208 13210368 15687312 20916416 31374624 41832832 62749248 83665664 125498496 250996992