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19819044 = 22327314359
BaseRepresentation
bin100101110011…
…0101000100100
31101021220121200
41023212220210
520033202134
61544442500
7330313320
oct113465044
941256550
1019819044
1110207383
126779430
13414bc5b
1428bc980
151b17499
hex12e6a24

19819044 has 144 divisors (see below), whose sum is σ = 61501440. Its totient is φ = 5261760.

The previous prime is 19819039. The next prime is 19819057. The reversal of 19819044 is 44091891.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 335887 + ... + 335945.

Almost surely, 219819044 is an apocalyptic number.

19819044 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 19819044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30750720).

19819044 is an abundant number, since it is smaller than the sum of its proper divisors (41682396).

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

19819044 is a wasteful number, since it uses less digits than its factorization.

19819044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 19819044 is about 4451.8584883170. The cubic root of 19819044 is about 270.6206299219.

It can be divided in two parts, 1981 and 9044, that added together give a square (11025 = 1052).

The spelling of 19819044 in words is "nineteen million, eight hundred nineteen thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 43 59 62 63 84 86 93 118 124 126 129 172 177 186 217 236 252 258 279 301 354 372 387 413 434 516 531 558 602 651 708 774 826 868 903 1062 1116 1204 1239 1302 1333 1548 1652 1806 1829 1953 2124 2478 2537 2604 2666 2709 3612 3658 3717 3906 3999 4956 5074 5332 5418 5487 7316 7434 7611 7812 7998 9331 10148 10836 10974 11997 12803 14868 15222 15996 16461 17759 18662 21948 22833 23994 25606 27993 30444 32922 35518 37324 38409 45666 47988 51212 53277 55986 65844 71036 76818 78647 83979 91332 106554 111972 115227 153636 157294 159831 167958 213108 230454 235941 314588 319662 335916 460908 471882 550529 639324 707823 943764 1101058 1415646 1651587 2202116 2831292 3303174 4954761 6606348 9909522 19819044