Search a number
-
+
104941844 = 2274322027
BaseRepresentation
bin1100100000101…
…00100100010100
321022110121010222
412100110210110
5203331114334
614225133512
72412663620
oct620244424
9238417128
10104941844
11542673a7
122b18a298
1318983c87
14dd1a180
15932dd2e
hex6414914

104941844 has 36 divisors (see below), whose sum is σ = 214984224. Its totient is φ = 43907472.

The previous prime is 104941843. The next prime is 104941849. The reversal of 104941844 is 448149401.

It is a super-2 number, since 2×1049418442 = 22025581244240672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104941841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50759 + ... + 52785.

It is an arithmetic number, because the mean of its divisors is an integer number (5971784).

Almost surely, 2104941844 is an apocalyptic number.

104941844 is a gapful number since it is divisible by the number (14) 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 104941844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107492112).

104941844 is an abundant number, since it is smaller than the sum of its proper divisors (110042380).

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

104941844 is a wasteful number, since it uses less digits than its factorization.

104941844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 104941844 is about 10244.1126506887. The cubic root of 104941844 is about 471.6822828316.

The spelling of 104941844 in words is "one hundred four million, nine hundred forty-one thousand, eight hundred forty-four".

Divisors: 1 2 4 7 14 28 43 86 172 301 602 1204 1849 2027 3698 4054 7396 8108 12943 14189 25886 28378 51772 56756 87161 174322 348644 610127 1220254 2440508 3747923 7495846 14991692 26235461 52470922 104941844