Search a number
-
+
250233648 = 24371922063
BaseRepresentation
bin11101110101001…
…00001100110000
3122102212012000220
432322210030300
51003024434043
640455213040
76125644110
oct1672441460
9572765026
10250233648
11119283275
126b977180
133cac4b62
142533b040
1516e7d483
hexeea4330

250233648 has 120 divisors (see below), whose sum is σ = 780092928. Its totient is φ = 67699584.

The previous prime is 250233647. The next prime is 250233649. The reversal of 250233648 is 846332052.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (250233647) and next prime (250233649).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250233647) 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 23 ways as a sum of consecutive naturals, for example, 120265 + ... + 122327.

Almost surely, 2250233648 is an apocalyptic number.

250233648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 250233648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390046464).

250233648 is an abundant number, since it is smaller than the sum of its proper divisors (529859280).

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

250233648 is a wasteful number, since it uses less digits than its factorization.

250233648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 250233648 is about 15818.7751738243. The cubic root of 250233648 is about 630.1567158629.

The spelling of 250233648 in words is "two hundred fifty million, two hundred thirty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 361 399 456 532 722 798 912 1064 1083 1444 1596 2063 2128 2166 2527 2888 3192 4126 4332 5054 5776 6189 6384 7581 8252 8664 10108 12378 14441 15162 16504 17328 20216 24756 28882 30324 33008 39197 40432 43323 49512 57764 60648 78394 86646 99024 115528 117591 121296 156788 173292 231056 235182 274379 313576 346584 470364 548758 627152 693168 744743 823137 940728 1097516 1489486 1646274 1881456 2195032 2234229 2978972 3292548 4390064 4468458 5213201 5957944 6585096 8936916 10426402 11915888 13170192 15639603 17873832 20852804 31279206 35747664 41705608 62558412 83411216 125116824 250233648