Search a number
-
+
290876796 = 223274147599
BaseRepresentation
bin10001010101100…
…110110101111100
3202021100001221200
4101111212311330
51043431024141
644510255500
710131261210
oct2125466574
9667301850
10290876796
1113a213051
12814b7590
1348355362
142a8ba940
151a80aab6
hex11566d7c

290876796 has 144 divisors (see below), whose sum is σ = 880588800. Its totient is φ = 79223040.

The previous prime is 290876777. The next prime is 290876809. The reversal of 290876796 is 697678092.

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, 485305 + ... + 485903.

It is an arithmetic number, because the mean of its divisors is an integer number (6115200).

Almost surely, 2290876796 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 290876796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440294400).

290876796 is an abundant number, since it is smaller than the sum of its proper divisors (589712004).

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

290876796 is a wasteful number, since it uses less digits than its factorization.

290876796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 290876796 is about 17055.1105537314. The cubic root of 290876796 is about 662.5770047432.

The spelling of 290876796 in words is "two hundred ninety million, eight hundred seventy-six thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 47 63 82 84 94 123 126 141 164 188 246 252 282 287 329 369 423 492 564 574 599 658 738 846 861 987 1148 1198 1316 1476 1692 1722 1797 1927 1974 2396 2583 2961 3444 3594 3854 3948 4193 5166 5391 5781 5922 7188 7708 8386 10332 10782 11562 11844 12579 13489 16772 17343 21564 23124 24559 25158 26978 28153 34686 37737 40467 49118 50316 53956 56306 69372 73677 75474 80934 84459 98236 112612 121401 147354 150948 161868 168918 171913 197071 221031 242802 253377 294708 337836 343826 394142 442062 485604 506754 515739 591213 687652 788284 884124 1013508 1031478 1154273 1182426 1547217 1773639 2062956 2308546 2364852 3094434 3462819 3547278 4617092 6188868 6925638 7094556 8079911 10388457 13851276 16159822 20776914 24239733 32319644 41553828 48479466 72719199 96958932 145438398 290876796