Search a number
-
+
2905006650 = 2352721330403
BaseRepresentation
bin1010110100100110…
…1110001000111010
321111110021121221220
42231021232020322
521422140203100
61200132212510
7131663102100
oct25511561072
97443247856
102905006650
111260889547
12690a6a136
13373b04860
141d7b59c70
1512007caa0
hexad26e23a

2905006650 has 144 divisors (see below), whose sum is σ = 9025609824. Its totient is φ = 612904320.

The previous prime is 2905006649. The next prime is 2905006679. The reversal of 2905006650 is 566005092.

2905006650 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80349 + ... + 110751.

It is an arithmetic number, because the mean of its divisors is an integer number (62677846).

Almost surely, 22905006650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2905006650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4512804912).

2905006650 is an abundant number, since it is smaller than the sum of its proper divisors (6120603174).

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

2905006650 is a wasteful number, since it uses less digits than its factorization.

2905006650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30445 (or 30433 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 2905006650 is about 53898.1136033535. The cubic root of 2905006650 is about 1426.8633303753.

The spelling of 2905006650 in words is "two billion, nine hundred five million, six thousand, six hundred fifty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 25 26 30 35 39 42 49 50 65 70 75 78 91 98 105 130 147 150 175 182 195 210 245 273 294 325 350 390 455 490 525 546 637 650 735 910 975 1050 1225 1274 1365 1470 1911 1950 2275 2450 2730 3185 3675 3822 4550 6370 6825 7350 9555 13650 15925 19110 30403 31850 47775 60806 91209 95550 152015 182418 212821 304030 395239 425642 456045 638463 760075 790478 912090 1064105 1185717 1276926 1489747 1520150 1976195 2128210 2280225 2371434 2766673 2979494 3192315 3952390 4469241 4560450 5320525 5533346 5928585 6384630 7448735 8300019 8938482 9880975 10641050 11857170 13833365 14897470 15961575 16600038 19366711 19761950 22346205 27666730 29642925 31923150 37243675 38733422 41500095 44692410 58100133 59285850 69166825 74487350 83000190 96833555 111731025 116200266 138333650 193667110 207500475 223462050 290500665 415000950 484167775 581001330 968335550 1452503325 2905006650