Search a number
-
+
8050104 = 233541101
BaseRepresentation
bin11110101101010110111000
3120010222200000
4132231112320
54030100404
6444313000
7125265456
oct36552670
916128600
108050104
1145a9187
122842760
13188b19a
1410d79d6
15a90339
hex7ad5b8

8050104 has 96 divisors (see below), whose sum is σ = 23390640. Its totient is φ = 2592000.

The previous prime is 8050103. The next prime is 8050151. The reversal of 8050104 is 4010508.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8050103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79654 + ... + 79754.

Almost surely, 28050104 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 8050104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11695320).

8050104 is an abundant number, since it is smaller than the sum of its proper divisors (15340536).

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

8050104 is a wasteful number, since it uses less digits than its factorization.

8050104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 8050104 is about 2837.2705193548. The cubic root of 8050104 is about 200.4166646832.

The spelling of 8050104 in words is "eight million, fifty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 101 108 123 162 164 202 216 243 246 303 324 328 369 404 486 492 606 648 738 808 909 972 984 1107 1212 1476 1818 1944 2214 2424 2727 2952 3321 3636 4141 4428 5454 6642 7272 8181 8282 8856 9963 10908 12423 13284 16362 16564 19926 21816 24543 24846 26568 32724 33128 37269 39852 49086 49692 65448 74538 79704 98172 99384 111807 149076 196344 223614 298152 335421 447228 670842 894456 1006263 1341684 2012526 2683368 4025052 8050104