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19428144 = 2431729821
BaseRepresentation
bin100101000011…
…1001100110000
31100120001101220
41022013030300
514433200034
61532225040
7324064551
oct112071460
940501356
1019428144
11aa6a71a
12660b180
134043058
14281a328
151a8b749
hex1287330

19428144 has 80 divisors (see below), whose sum is σ = 55041120. Its totient is φ = 5877760.

The previous prime is 19428121. The next prime is 19428163. The reversal of 19428144 is 44182491.

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, 23254 + ... + 24074.

It is an arithmetic number, because the mean of its divisors is an integer number (688014).

Almost surely, 219428144 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 19428144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27520560).

19428144 is an abundant number, since it is smaller than the sum of its proper divisors (35612976).

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

19428144 is a wasteful number, since it uses less digits than its factorization.

19428144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 872 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 19428144 is about 4407.7368342495. The cubic root of 19428144 is about 268.8296116046.

The spelling of 19428144 in words is "nineteen million, four hundred twenty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 34 48 51 58 68 87 102 116 136 174 204 232 272 348 408 464 493 696 816 821 986 1392 1479 1642 1972 2463 2958 3284 3944 4926 5916 6568 7888 9852 11832 13136 13957 19704 23664 23809 27914 39408 41871 47618 55828 71427 83742 95236 111656 142854 167484 190472 223312 285708 334968 380944 404753 571416 669936 809506 1142832 1214259 1619012 2428518 3238024 4857036 6476048 9714072 19428144