Search a number
-
+
250382905830 = 232531449199873
BaseRepresentation
bin1110100100101111111…
…0111111000111100110
3212221021121121111011200
43221023332333013212
513100241010441310
6311005130343330
724042502404201
oct3511376770746
9787247544150
10250382905830
1197206694052
124063888ab46
131a7c34c68a5
14c193606938
1567a67529c0
hex3a4bfbf1e6

250382905830 has 96 divisors (see below), whose sum is σ = 673495430400. Its totient is φ = 64470712320.

The previous prime is 250382905823. The next prime is 250382905889. The reversal of 250382905830 is 38509283052.

250382905830 is a `hidden beast` number, since 2 + 503 + 8 + 2 + 90 + 58 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1152774 + ... + 1352646.

It is an arithmetic number, because the mean of its divisors is an integer number (7015577400).

Almost surely, 2250382905830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 250382905830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336747715200).

250382905830 is an abundant number, since it is smaller than the sum of its proper divisors (423112524570).

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

250382905830 is a wasteful number, since it uses less digits than its factorization.

250382905830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200366 (or 200363 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 250382905830 in words is "two hundred fifty billion, three hundred eighty-two million, nine hundred five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 449 465 558 898 930 1347 1395 2245 2694 2790 4041 4490 6735 8082 13470 13919 20205 27838 40410 41757 69595 83514 125271 139190 199873 208785 250542 399746 417570 599619 626355 999365 1199238 1252710 1798857 1998730 2998095 3597714 5996190 6196063 8994285 12392126 17988570 18588189 30980315 37176378 55764567 61960630 89742977 92940945 111529134 179485954 185881890 269228931 278822835 448714885 538457862 557645670 807686793 897429770 1346144655 1615373586 2692289310 2782032287 4038433965 5564064574 8076867930 8346096861 13910161435 16692193722 25038290583 27820322870 41730484305 50076581166 83460968610 125191452915 250382905830