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4834105290 = 2325727115439
BaseRepresentation
bin1001000000010001…
…01001011111001010
3110110220012222210200
410200020221133022
534400012332130
62115403353030
7230536134300
oct44010513712
913426188720
104834105290
1120607a9943
12b2ab22776
135c0686041
1433c03a270
151d45d7760
hex1202297ca

4834105290 has 144 divisors (see below), whose sum is σ = 14827587840. Its totient is φ = 1089305280.

The previous prime is 4834105253. The next prime is 4834105291. The reversal of 4834105290 is 925014384.

4834105290 is a `hidden beast` number, since 483 + 41 + 0 + 52 + 90 = 666.

It is not an unprimeable number, because it can be changed into a prime (4834105291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 305391 + ... + 320829.

It is an arithmetic number, because the mean of its divisors is an integer number (102969360).

Almost surely, 24834105290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4834105290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7413793920).

4834105290 is an abundant number, since it is smaller than the sum of its proper divisors (9993482550).

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

4834105290 is a wasteful number, since it uses less digits than its factorization.

4834105290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15537 (or 15527 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4834105290 is about 69527.7303670989. The cubic root of 4834105290 is about 1690.8511159371.

The spelling of 4834105290 in words is "four billion, eight hundred thirty-four million, one hundred five thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 71 90 98 105 126 142 147 210 213 245 294 315 355 426 441 490 497 630 639 710 735 882 994 1065 1278 1470 1491 2130 2205 2485 2982 3195 3479 4410 4473 4970 6390 6958 7455 8946 10437 14910 15439 17395 20874 22365 30878 31311 34790 44730 46317 52185 62622 77195 92634 104370 108073 138951 154390 156555 216146 231585 277902 313110 324219 463170 540365 648438 694755 756511 972657 1080730 1096169 1389510 1513022 1621095 1945314 2192338 2269533 3242190 3288507 3782555 4539066 4863285 5480845 6577014 6808599 7565110 7673183 9726570 9865521 10961690 11347665 13617198 15346366 16442535 19731042 22695330 23019549 32885070 34042995 38365915 46039098 49327605 53712281 68085990 69058647 76731830 98655210 107424562 115097745 138117294 161136843 230195490 268561405 322273686 345293235 483410529 537122810 690586470 805684215 966821058 1611368430 2417052645 4834105290