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19949328 = 24357733
BaseRepresentation
bin100110000011…
…0011100010000
31101112112100000
41030012130100
520101334303
61551330000
7331365210
oct114063420
941475300
1019949328
1110296253
126820900
134196349
142914240
151b40da3
hex1306710

19949328 has 120 divisors (see below), whose sum is σ = 66259648. Its totient is φ = 5692032.

The previous prime is 19949273. The next prime is 19949333. The reversal of 19949328 is 82394991.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26850 + ... + 27582.

Almost surely, 219949328 is an apocalyptic number.

19949328 is a gapful number since it is divisible by the number (18) 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 19949328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33129824).

19949328 is an abundant number, since it is smaller than the sum of its proper divisors (46310320).

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

19949328 is an equidigital number, since it uses as much as digits as its factorization.

19949328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 745 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 19949328 is about 4466.4670602166. The cubic root of 19949328 is about 271.2123261686.

The spelling of 19949328 in words is "nineteen million, nine hundred forty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 733 756 972 1008 1134 1296 1466 1512 1701 1944 2199 2268 2932 3024 3402 3888 4398 4536 5131 5864 6597 6804 8796 9072 10262 11728 13194 13608 15393 17592 19791 20524 26388 27216 30786 35184 39582 41048 46179 52776 59373 61572 79164 82096 92358 105552 118746 123144 138537 158328 178119 184716 237492 246288 277074 316656 356238 369432 415611 474984 554148 712476 738864 831222 949968 1108296 1246833 1424952 1662444 2216592 2493666 2849904 3324888 4987332 6649776 9974664 19949328