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19382272 = 2147132
BaseRepresentation
bin100100111110…
…0000000000000
31100110201110221
41021330000000
514430213042
61531232424
7323514040
oct111740000
940421427
1019382272
11aa39208
1265a8714
134028200
142807720
151a7cd67
hex127c000

19382272 has 90 divisors (see below), whose sum is σ = 47970888. Its totient is φ = 7667712.

The previous prime is 19382269. The next prime is 19382273. The reversal of 19382272 is 27228391.

It is a super-3 number, since 3×193822723 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19382273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1490938 + ... + 1490950.

Almost surely, 219382272 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 19382272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23985444).

19382272 is an abundant number, since it is smaller than the sum of its proper divisors (28588616).

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

19382272 is an frugal number, since it uses more digits than its factorization.

19382272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 22 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 19382272 is about 4402.5301816115. The cubic root of 19382272 is about 268.6178660352.

The spelling of 19382272 in words is "nineteen million, three hundred eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 169 182 208 224 256 338 364 416 448 512 676 728 832 896 1024 1183 1352 1456 1664 1792 2048 2366 2704 2912 3328 3584 4096 4732 5408 5824 6656 7168 8192 9464 10816 11648 13312 14336 16384 18928 21632 23296 26624 28672 37856 43264 46592 53248 57344 75712 86528 93184 106496 114688 151424 173056 186368 212992 302848 346112 372736 605696 692224 745472 1211392 1384448 1490944 2422784 2768896 4845568 9691136 19382272