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19428416 = 267172551
BaseRepresentation
bin100101000011…
…1010001000000
31100120001202222
41022013101000
514433202131
61532230212
7324065420
oct112072100
940501688
1019428416
11aa6a947
12660b368
134043207
14281a480
151a8b87b
hex1287440

19428416 has 56 divisors (see below), whose sum is σ = 46670976. Its totient is φ = 7833600.

The previous prime is 19428407. The next prime is 19428427. The reversal of 19428416 is 61482491.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6341 + ... + 8891.

Almost surely, 219428416 is an apocalyptic number.

19428416 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 19428416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23335488).

19428416 is an abundant number, since it is smaller than the sum of its proper divisors (27242560).

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

19428416 is a wasteful number, since it uses less digits than its factorization.

19428416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2577 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 19428416 is about 4407.7676889782. The cubic root of 19428416 is about 268.8308661645.

The spelling of 19428416 in words is "nineteen million, four hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 2551 3808 5102 7616 10204 17857 20408 35714 40816 43367 71428 81632 86734 142856 163264 173468 285712 303569 346936 571424 607138 693872 1142848 1214276 1387744 2428552 2775488 4857104 9714208 19428416