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19428948 = 223271143163
BaseRepresentation
bin100101000011…
…1011001010100
31100120002111200
41022013121110
514433211243
61532232500
7324100110
oct112073124
940502450
1019428948
11aa70290
12660b730
134043526
14281a740
151a8bad3
hex1287654

19428948 has 144 divisors (see below), whose sum is σ = 63038976. Its totient is φ = 4898880.

The previous prime is 19428931. The next prime is 19428979. The reversal of 19428948 is 84982491.

It is a congruent number.

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, 119115 + ... + 119277.

Almost surely, 219428948 is an apocalyptic number.

19428948 is a gapful number since it is divisible by the number (18) 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 19428948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31519488).

19428948 is an abundant number, since it is smaller than the sum of its proper divisors (43610028).

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

19428948 is a wasteful number, since it uses less digits than its factorization.

19428948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 229 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 19428948 is about 4407.8280365731. The cubic root of 19428948 is about 268.8333199023.

The spelling of 19428948 in words is "nineteen million, four hundred twenty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 43 44 63 66 77 84 86 99 126 129 132 154 163 172 198 231 252 258 301 308 326 387 396 462 473 489 516 602 652 693 774 903 924 946 978 1141 1204 1386 1419 1467 1548 1793 1806 1892 1956 2282 2709 2772 2838 2934 3311 3423 3586 3612 4257 4564 5379 5418 5676 5868 6622 6846 7009 7172 8514 9933 10269 10758 10836 12551 13244 13692 14018 16137 17028 19866 20538 21027 21516 25102 28036 29799 32274 37653 39732 41076 42054 49063 50204 59598 63081 64548 75306 77099 84108 98126 112959 119196 126162 147189 150612 154198 196252 225918 231297 252324 294378 308396 441567 451836 462594 539693 588756 693891 883134 925188 1079386 1387782 1619079 1766268 2158772 2775564 3238158 4857237 6476316 9714474 19428948