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290850768 = 243213251619
BaseRepresentation
bin10001010101100…
…000011111010000
3202021021202020200
4101111200133100
51043424211033
644505535200
710131122265
oct2125403720
9667252220
10290850768
1113a1a553a
12814a4500
1348346560
142a8b126c
151a803013
hex115607d0

290850768 has 120 divisors (see below), whose sum is σ = 881506080. Its totient is φ = 88992000.

The previous prime is 290850767. The next prime is 290850793. The reversal of 290850768 is 867058092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290850767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469563 + ... + 470181.

It is an arithmetic number, because the mean of its divisors is an integer number (7345884).

Almost surely, 2290850768 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 290850768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440753040).

290850768 is an abundant number, since it is smaller than the sum of its proper divisors (590655312).

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

290850768 is a wasteful number, since it uses less digits than its factorization.

290850768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 290850768 is about 17054.3474809211. The cubic root of 290850768 is about 662.5572414288.

The spelling of 290850768 in words is "two hundred ninety million, eight hundred fifty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 251 312 468 502 619 624 753 936 1004 1238 1506 1857 1872 2008 2259 2476 3012 3263 3714 4016 4518 4952 5571 6024 6526 7428 8047 9036 9789 9904 11142 12048 13052 14856 16094 18072 19578 22284 24141 26104 29367 29712 32188 36144 39156 44568 48282 52208 58734 64376 72423 78312 89136 96564 117468 128752 144846 155369 156624 193128 234936 289692 310738 386256 466107 469872 579384 621476 932214 1158768 1242952 1398321 1864428 2019797 2485904 2796642 3728856 4039594 5593284 6059391 7457712 8079188 11186568 12118782 16158376 18178173 22373136 24237564 32316752 36356346 48475128 72712692 96950256 145425384 290850768