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19426416 = 2434779109
BaseRepresentation
bin100101000011…
…0110001110000
31100112222000220
41022012301300
514433121131
61532213040
7324056532
oct112066160
940488026
1019426416
11aa69399
12660a180
134042329
142819852
151a8ae96
hex1286c70

19426416 has 80 divisors (see below), whose sum is σ = 52377600. Its totient is φ = 6200064.

The previous prime is 19426409. The next prime is 19426423. The reversal of 19426416 is 61462491.

It is an interprime number because it is at equal distance from previous prime (19426409) and next prime (19426423).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178170 + ... + 178278.

It is an arithmetic number, because the mean of its divisors is an integer number (654720).

Almost surely, 219426416 is an apocalyptic number.

19426416 is a gapful number since it is divisible by the number (16) 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 19426416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26188800).

19426416 is an abundant number, since it is smaller than the sum of its proper divisors (32951184).

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

19426416 is a wasteful number, since it uses less digits than its factorization.

19426416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 19426416 is about 4407.5408109285. The cubic root of 19426416 is about 268.8216411856.

The spelling of 19426416 in words is "nineteen million, four hundred twenty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 79 94 109 141 158 188 218 237 282 316 327 376 436 474 564 632 654 752 872 948 1128 1264 1308 1744 1896 2256 2616 3713 3792 5123 5232 7426 8611 10246 11139 14852 15369 17222 20492 22278 25833 29704 30738 34444 40984 44556 51666 59408 61476 68888 81968 89112 103332 122952 137776 178224 206664 245904 404717 413328 809434 1214151 1618868 2428302 3237736 4856604 6475472 9713208 19426416