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19938828 = 22371319312
BaseRepresentation
bin100110000001…
…1111000001100
31101111222221010
41030003320030
520101020303
61551205220
7331322460
oct114037014
941458833
1019938828
1110289378
126816810
134191630
1429104a0
151b3cc03
hex1303e0c

19938828 has 144 divisors (see below), whose sum is σ = 62280960. Its totient is φ = 4821120.

The previous prime is 19938827. The next prime is 19938839. The reversal of 19938828 is 82883991.

It is a happy number.

Its product of digits (248832) is a multiple of the sum of its prime factors (108).

It is not an unprimeable number, because it can be changed into a prime (19938827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 643173 + ... + 643203.

Almost surely, 219938828 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 19938828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31140480).

19938828 is an abundant number, since it is smaller than the sum of its proper divisors (42342132).

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

19938828 is a wasteful number, since it uses less digits than its factorization.

19938828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 75 counting only the distinct ones).

The product of its digits is 248832, while the sum is 48.

The square root of 19938828 is about 4465.2914798476. The cubic root of 19938828 is about 271.1647351053.

The spelling of 19938828 in words is "nineteen million, nine hundred thirty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 31 38 39 42 52 57 62 76 78 84 91 93 114 124 133 156 182 186 217 228 247 266 273 364 372 399 403 434 494 532 546 589 651 741 798 806 868 961 988 1092 1178 1209 1302 1482 1596 1612 1729 1767 1922 2356 2418 2604 2821 2883 2964 3458 3534 3844 4123 4836 5187 5642 5766 6727 6916 7068 7657 8246 8463 10374 11284 11532 12369 12493 13454 15314 16492 16926 18259 20181 20748 22971 24738 24986 26908 30628 33852 36518 37479 40362 45942 49476 49972 53599 54777 73036 74958 80724 87451 91884 107198 109554 127813 149916 160797 174902 214396 219108 237367 255626 262353 321594 349804 383439 474734 511252 524706 643188 712101 766878 949468 1049412 1424202 1533756 1661569 2848404 3323138 4984707 6646276 9969414 19938828