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19423272 = 23311294359
BaseRepresentation
bin100101000011…
…0000000101000
31100112210201110
41022012000220
514433021042
61532150320
7324044421
oct112060050
940483643
1019423272
11aa66aa0
1266083a0
134040a7b
142818648
151a8a09c
hex1286028

19423272 has 128 divisors (see below), whose sum is σ = 57024000. Its totient is φ = 5456640.

The previous prime is 19423249. The next prime is 19423273. The reversal of 19423272 is 27232491.

It is not an unprimeable number, because it can be changed into a prime (19423273) 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 31 ways as a sum of consecutive naturals, for example, 329179 + ... + 329237.

It is an arithmetic number, because the mean of its divisors is an integer number (445500).

Almost surely, 219423272 is an apocalyptic number.

19423272 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 19423272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28512000).

19423272 is an abundant number, since it is smaller than the sum of its proper divisors (37600728).

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

19423272 is a wasteful number, since it uses less digits than its factorization.

19423272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 147 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 19423272 is about 4407.1841350232. The cubic root of 19423272 is about 268.8071382387.

The spelling of 19423272 in words is "nineteen million, four hundred twenty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 43 44 58 59 66 86 87 88 116 118 129 132 172 174 177 232 236 258 264 319 344 348 354 472 473 516 638 649 696 708 946 957 1032 1247 1276 1298 1416 1419 1711 1892 1914 1947 2494 2537 2552 2596 2838 3422 3741 3784 3828 3894 4988 5074 5133 5192 5676 6844 7482 7611 7656 7788 9976 10148 10266 11352 13688 13717 14964 15222 15576 18821 20296 20532 27434 27907 29928 30444 37642 41064 41151 54868 55814 56463 60888 73573 75284 82302 83721 109736 111628 112926 147146 150568 164604 167442 220719 223256 225852 294292 329208 334884 441438 451704 588584 669768 809303 882876 1618606 1765752 2427909 3237212 4855818 6474424 9711636 19423272