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3842050100 = 22527311011753
BaseRepresentation
bin1110010100000001…
…0000100000110100
3100220202111100220212
43211000100200310
530332031100400
61433124244552
7164131613150
oct34500204064
910822440825
103842050100
1116a1812119
128b2840758
13492c9b135
1428639a060
15177475335
hexe5010834

3842050100 has 144 divisors (see below), whose sum is σ = 9938697216. Its totient is φ = 1261440000.

The previous prime is 3842050081. The next prime is 3842050103. The reversal of 3842050100 is 10502483.

It is a super-2 number, since 2×38420501002 = 29522697941820020000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3842050103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2190824 + ... + 2192576.

Almost surely, 23842050100 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 3842050100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4969348608).

3842050100 is an abundant number, since it is smaller than the sum of its proper divisors (6096647116).

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

3842050100 is a wasteful number, since it uses less digits than its factorization.

3842050100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 3842050100 is about 61984.2730053358. The cubic root of 3842050100 is about 1566.2256829360.

Adding to 3842050100 its reverse (10502483), we get a palindrome (3852552583).

The spelling of 3842050100 in words is "three billion, eight hundred forty-two million, fifty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 101 124 140 155 175 202 217 310 350 404 434 505 620 700 707 775 868 1010 1085 1414 1550 1753 2020 2170 2525 2828 3100 3131 3506 3535 4340 5050 5425 6262 7012 7070 8765 10100 10850 12271 12524 14140 15655 17530 17675 21700 21917 24542 31310 35060 35350 43825 43834 49084 54343 61355 62620 70700 78275 87650 87668 108686 109585 122710 156550 175300 177053 217372 219170 245420 271715 306775 313100 354106 380401 438340 543430 547925 613550 708212 760802 885265 1086860 1095850 1227100 1239371 1358575 1521604 1770530 1902005 2191700 2478742 2717150 3541060 3804010 4426325 4957484 5434300 5488643 6196855 7608020 8852650 9510025 10977286 12393710 17705300 19020050 21954572 24787420 27443215 30984275 38040100 38420501 54886430 61968550 76841002 109772860 123937100 137216075 153682004 192102505 274432150 384205010 548864300 768410020 960512525 1921025050 3842050100