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19396944 = 2432722749
BaseRepresentation
bin100100111111…
…1100101010000
31100111110121100
41021333211100
514431200234
61531424400
7323604600
oct111774520
940443540
1019396944
11aa49236
1265b5100
134031aa8
14280cc00
151a82399
hex127f950

19396944 has 90 divisors (see below), whose sum is σ = 63170250. Its totient is φ = 5539968.

The previous prime is 19396943. The next prime is 19396957. The reversal of 19396944 is 44969391.

It can be written as a sum of positive squares in only one way, i.e., 13046544 + 6350400 = 3612^2 + 2520^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 19396944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19396943) 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 17 ways as a sum of consecutive naturals, for example, 5682 + ... + 8430.

Almost surely, 219396944 is an apocalyptic number.

19396944 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 19396944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31585125).

19396944 is an abundant number, since it is smaller than the sum of its proper divisors (43773306).

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

19396944 is a wasteful number, since it uses less digits than its factorization.

19396944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2761 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 19396944 is about 4404.1961809166. The cubic root of 19396944 is about 268.6856284263.

The spelling of 19396944 in words is "nineteen million, three hundred ninety-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 2749 3528 5498 7056 8247 10996 16494 19243 21992 24741 32988 38486 43984 49482 57729 65976 76972 98964 115458 131952 134701 153944 173187 197928 230916 269402 307888 346374 395856 404103 461832 538804 692748 808206 923664 1077608 1212309 1385496 1616412 2155216 2424618 2770992 3232824 4849236 6465648 9698472 19396944