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19378872 = 2333731229
BaseRepresentation
bin100100111101…
…1001010111000
31100110112211000
41021323022320
514430110442
61531205000
7323501112
oct111731270
940415730
1019378872
11aa366a7
1265a6760
1340267b6
1428063b2
151a7bd4c
hex127b2b8

19378872 has 64 divisors (see below), whose sum is σ = 54612000. Its totient is φ = 6365952.

The previous prime is 19378871. The next prime is 19378883. The reversal of 19378872 is 27887391.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19378871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15154 + ... + 16382.

Almost surely, 219378872 is an apocalyptic number.

19378872 is a gapful number since it is divisible by the number (12) 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 19378872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27306000).

19378872 is an abundant number, since it is smaller than the sum of its proper divisors (35233128).

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

19378872 is a wasteful number, since it uses less digits than its factorization.

19378872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1307 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 19378872 is about 4402.1440230869. The cubic root of 19378872 is about 268.6021583109.

The spelling of 19378872 in words is "nineteen million, three hundred seventy-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 292 438 584 657 876 1229 1314 1752 1971 2458 2628 3687 3942 4916 5256 7374 7884 9832 11061 14748 15768 22122 29496 33183 44244 66366 88488 89717 132732 179434 265464 269151 358868 538302 717736 807453 1076604 1614906 2153208 2422359 3229812 4844718 6459624 9689436 19378872