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3850427100 = 22352131079227
BaseRepresentation
bin1110010110000000…
…1101101011011100
3100221100020222000010
43211200031223130
530341202131400
61434024003220
7164263042662
oct34540155334
910840228003
103850427100
1116a6513963
128b5600510
13494942040
1428753ac32
1517807c450
hexe580dadc

3850427100 has 144 divisors (see below), whose sum is σ = 12110974848. Its totient is φ = 938837760.

The previous prime is 3850427099. The next prime is 3850427117. The reversal of 3850427100 is 17240583.

3850427100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 412687 + ... + 421913.

It is an arithmetic number, because the mean of its divisors is an integer number (84103992).

Almost surely, 23850427100 is an apocalyptic number.

3850427100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3850427100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6055487424).

3850427100 is an abundant number, since it is smaller than the sum of its proper divisors (8260547748).

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

3850427100 is a wasteful number, since it uses less digits than its factorization.

3850427100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9364 (or 9357 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 3850427100 is about 62051.8098043885. The cubic root of 3850427100 is about 1567.3631614660.

Adding to 3850427100 its reverse (17240583), we get a palindrome (3867667683).

The spelling of 3850427100 in words is "three billion, eight hundred fifty million, four hundred twenty-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 107 130 150 156 195 214 260 300 321 325 390 428 535 642 650 780 975 1070 1284 1300 1391 1605 1950 2140 2675 2782 3210 3900 4173 5350 5564 6420 6955 8025 8346 9227 10700 13910 16050 16692 18454 20865 27681 27820 32100 34775 36908 41730 46135 55362 69550 83460 92270 104325 110724 119951 138405 139100 184540 208650 230675 239902 276810 359853 417300 461350 479804 553620 599755 692025 719706 922700 987289 1199510 1384050 1439412 1799265 1974578 2399020 2768100 2961867 2998775 3598530 3949156 4936445 5923734 5997550 7197060 8996325 9872890 11847468 11995100 12834757 14809335 17992650 19745780 24682225 25669514 29618670 35985300 38504271 49364450 51339028 59237340 64173785 74046675 77008542 98728900 128347570 148093350 154017084 192521355 256695140 296186700 320868925 385042710 641737850 770085420 962606775 1283475700 1925213550 3850427100