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104244192 = 2533139281
BaseRepresentation
bin1100011011010…
…10001111100000
321021011011011000
412031222033200
5203141303232
614202152000
72404026633
oct615521740
9237134130
10104244192
1153930228
122aab2600
131879b570
14dbb7c1a
15924227c
hex636a3e0

104244192 has 96 divisors (see below), whose sum is σ = 327468960. Its totient is φ = 32071680.

The previous prime is 104244157. The next prime is 104244197. The reversal of 104244192 is 291442401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104244197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6592 + ... + 15872.

It is an arithmetic number, because the mean of its divisors is an integer number (3411135).

Almost surely, 2104244192 is an apocalyptic number.

104244192 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 104244192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163734480).

104244192 is an abundant number, since it is smaller than the sum of its proper divisors (223224768).

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

104244192 is a wasteful number, since it uses less digits than its factorization.

104244192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9313 (or 9299 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 104244192 is about 10210.0045053859. The cubic root of 104244192 is about 470.6347121057.

Adding to 104244192 its reverse (291442401), we get a palindrome (395686593).

The spelling of 104244192 in words is "one hundred four million, two hundred forty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 9281 11232 18562 27843 37124 55686 74248 83529 111372 120653 148496 167058 222744 241306 250587 296992 334116 361959 445488 482612 501174 668232 723918 890976 965224 1002348 1085877 1336464 1447836 1930448 2004696 2171754 2672928 2895672 3257631 3860896 4009392 4343508 5791344 6515262 8018784 8687016 11582688 13030524 17374032 26061048 34748064 52122096 104244192