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19382142 = 23131747311
BaseRepresentation
bin100100111101…
…1111101111110
31100110201022010
41021323331332
514430212032
61531232050
7323513463
oct111737576
940421263
1019382142
11aa390aa
1265a8626
134028130
14280766a
151a7cccc
hex127bf7e

19382142 has 64 divisors (see below), whose sum is σ = 45287424. Its totient is φ = 5475840.

The previous prime is 19382141. The next prime is 19382173. The reversal of 19382142 is 24128391.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19382141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62167 + ... + 62477.

It is an arithmetic number, because the mean of its divisors is an integer number (707616).

Almost surely, 219382142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19382142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22643712).

19382142 is an abundant number, since it is smaller than the sum of its proper divisors (25905282).

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

19382142 is a wasteful number, since it uses less digits than its factorization.

19382142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393.

The product of its digits is 3456, while the sum is 30.

The square root of 19382142 is about 4402.5154173495. The cubic root of 19382142 is about 268.6172654795.

The spelling of 19382142 in words is "nineteen million, three hundred eighty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 47 51 78 94 102 141 221 282 311 442 611 622 663 799 933 1222 1326 1598 1833 1866 2397 3666 4043 4794 5287 8086 10387 10574 12129 14617 15861 20774 24258 29234 31161 31722 43851 62322 68731 87702 137462 190021 206193 248489 380042 412386 496978 570063 745467 1140126 1490934 3230357 6460714 9691071 19382142