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19393416 = 23327223239
BaseRepresentation
bin100100111111…
…0101110001000
31100111021202200
41021332232020
514431042131
61531400200
7323561400
oct111765610
940437680
1019393416
11aa46619
1265b3060
1340302c3
14280b800
151a812e6
hex127eb88

19393416 has 144 divisors (see below), whose sum is σ = 64022400. Its totient is φ = 5277888.

The previous prime is 19393391. The next prime is 19393421. The reversal of 19393416 is 61439391.

It is a super-2 number, since 2×193934162 = 752209168298112, which contains 22 as substring.

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

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 81025 + ... + 81263.

It is an arithmetic number, because the mean of its divisors is an integer number (444600).

Almost surely, 219393416 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 19393416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32011200).

19393416 is an abundant number, since it is smaller than the sum of its proper divisors (44628984).

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

19393416 is a wasteful number, since it uses less digits than its factorization.

19393416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 274 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 19393416 is about 4403.7956355853. The cubic root of 19393416 is about 268.6693375375.

The spelling of 19393416 in words is "nineteen million, three hundred ninety-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 49 56 63 69 72 84 92 98 126 138 147 161 168 184 196 207 239 252 276 294 322 392 414 441 478 483 504 552 588 644 717 828 882 956 966 1127 1176 1288 1434 1449 1656 1673 1764 1912 1932 2151 2254 2868 2898 3346 3381 3528 3864 4302 4508 5019 5497 5736 5796 6692 6762 8604 9016 10038 10143 10994 11592 11711 13384 13524 15057 16491 17208 20076 20286 21988 23422 27048 30114 32982 35133 38479 40152 40572 43976 46844 49473 60228 65964 70266 76958 81144 93688 98946 105399 115437 120456 131928 140532 153916 197892 210798 230874 269353 281064 307832 346311 395784 421596 461748 538706 692622 808059 843192 923496 1077412 1385244 1616118 2154824 2424177 2770488 3232236 4848354 6464472 9696708 19393416