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104882052 = 223111923171
BaseRepresentation
bin1100100000001…
…01111110000100
321022100120010110
412100011332010
5203322211202
614223553020
72412324402
oct620057604
9238316113
10104882052
1154226490
122b15b770
13189629b2
14dd02472
15931b26c
hex6405f84

104882052 has 144 divisors (see below), whose sum is σ = 294948864. Its totient is φ = 28728000.

The previous prime is 104882017. The next prime is 104882069. The reversal of 104882052 is 250288401.

It is a super-2 number, since 2×1048820522 = 22000489663461408, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1477177 + ... + 1477247.

It is an arithmetic number, because the mean of its divisors is an integer number (2048256).

Almost surely, 2104882052 is an apocalyptic number.

104882052 is a gapful number since it is divisible by the number (12) 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 104882052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147474432).

104882052 is an abundant number, since it is smaller than the sum of its proper divisors (190066812).

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

104882052 is a wasteful number, since it uses less digits than its factorization.

104882052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 104882052 is about 10241.1938757159. The cubic root of 104882052 is about 471.5926834117.

The spelling of 104882052 in words is "one hundred four million, eight hundred eighty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 19 22 31 33 38 44 57 62 66 71 76 93 114 124 132 142 186 209 213 228 284 341 361 372 418 426 589 627 682 722 781 836 852 1023 1083 1178 1254 1349 1364 1444 1562 1767 2046 2166 2201 2343 2356 2508 2698 3124 3534 3971 4047 4092 4332 4402 4686 5396 6479 6603 7068 7942 8094 8804 9372 11191 11913 12958 13206 14839 15884 16188 19437 22382 23826 24211 25631 25916 26412 29678 33573 38874 41819 44517 44764 47652 48422 51262 59356 67146 72633 76893 77748 83638 89034 96844 102524 123101 125457 134292 145266 153786 167276 178068 246202 250914 281941 290532 307572 369303 460009 492404 501828 563882 738606 794561 845823 920018 1127764 1380027 1477212 1589122 1691646 1840036 2383683 2760054 3178244 3383292 4767366 5520108 8740171 9534732 17480342 26220513 34960684 52441026 104882052