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19289928 = 2337247349
BaseRepresentation
bin100100110010…
…1011101001000
31100022000210210
41021211131020
514414234203
61525241120
7322650600
oct111453510
940260723
1019289928
11a985899
1265631a0
133cc5178
1427c1c00
151a60803
hex1265748

19289928 has 96 divisors (see below), whose sum is σ = 57456000. Its totient is φ = 5378688.

The previous prime is 19289923. The next prime is 19289953. The reversal of 19289928 is 82998291.

It is not an unprimeable number, because it can be changed into a prime (19289923) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 55098 + ... + 55446.

It is an arithmetic number, because the mean of its divisors is an integer number (598500).

Almost surely, 219289928 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 19289928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28728000).

19289928 is an abundant number, since it is smaller than the sum of its proper divisors (38166072).

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

19289928 is a wasteful number, since it uses less digits than its factorization.

19289928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 408 counting only the distinct ones).

The product of its digits is 186624, while the sum is 48.

The square root of 19289928 is about 4392.0300545420. The cubic root of 19289928 is about 268.1905899057.

The spelling of 19289928 in words is "nineteen million, two hundred eighty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 49 56 84 94 98 141 147 168 188 196 282 294 329 349 376 392 564 588 658 698 987 1047 1128 1176 1316 1396 1974 2094 2303 2443 2632 2792 3948 4188 4606 4886 6909 7329 7896 8376 9212 9772 13818 14658 16403 17101 18424 19544 27636 29316 32806 34202 49209 51303 55272 58632 65612 68404 98418 102606 114821 131224 136808 196836 205212 229642 344463 393672 410424 459284 688926 803747 918568 1377852 1607494 2411241 2755704 3214988 4822482 6429976 9644964 19289928