Search a number
-
+
250812990 = 233541139163
BaseRepresentation
bin11101111001100…
…01101000111110
3122110221121202000
432330301220332
51003202003430
640515443130
76133606131
oct1674615076
9573847660
10250812990
1111963956a
126bbb64a6
133cc6876c
142544c218
1517044e60
hexef31a3e

250812990 has 128 divisors (see below), whose sum is σ = 694310400. Its totient is φ = 64385280.

The previous prime is 250812983. The next prime is 250813021. The reversal of 250812990 is 99218052.

It is a super-3 number, since 3×2508129903 (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1538649 + ... + 1538811.

It is an arithmetic number, because the mean of its divisors is an integer number (5424300).

Almost surely, 2250812990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 250812990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347155200).

250812990 is an abundant number, since it is smaller than the sum of its proper divisors (443497410).

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

250812990 is a wasteful number, since it uses less digits than its factorization.

250812990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 250812990 is about 15837.0764347464. The cubic root of 250812990 is about 630.6426548707.

The spelling of 250812990 in words is "two hundred fifty million, eight hundred twelve thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 139 163 205 246 270 278 326 369 410 417 489 615 695 738 815 834 978 1107 1230 1251 1390 1467 1630 1845 2085 2214 2445 2502 2934 3690 3753 4170 4401 4890 5535 5699 6255 6683 7335 7506 8802 11070 11398 12510 13366 14670 17097 18765 20049 22005 22657 28495 33415 34194 37530 40098 44010 45314 51291 56990 60147 66830 67971 85485 100245 102582 113285 120294 135942 153873 170970 180441 200490 203913 226570 256455 300735 307746 339855 360882 407826 512910 601470 611739 679710 769365 902205 928937 1019565 1223478 1538730 1804410 1857874 2039130 2786811 3058695 4644685 5573622 6117390 8360433 9289370 13934055 16720866 25081299 27868110 41802165 50162598 83604330 125406495 250812990