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19991048 = 23711172383
BaseRepresentation
bin100110001000…
…0101000001000
31101121122120012
41030100220020
520104203143
61552251052
7331630640
oct114205010
941548505
1019991048
1110314630
126840a88
1341ac32c
142925520
151b4d418
hex1310a08

19991048 has 128 divisors (see below), whose sum is σ = 52254720. Its totient is φ = 6927360.

The previous prime is 19991047. The next prime is 19991051. The reversal of 19991048 is 84019991.

It is a junction number, because it is equal to n+sod(n) for n = 19990996 and 19991014.

It is not an unprimeable number, because it can be changed into a prime (19991047) 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, 240815 + ... + 240897.

It is an arithmetic number, because the mean of its divisors is an integer number (408240).

Almost surely, 219991048 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 19991048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26127360).

19991048 is an abundant number, since it is smaller than the sum of its proper divisors (32263672).

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

19991048 is a wasteful number, since it uses less digits than its factorization.

19991048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 41.

The square root of 19991048 is about 4471.1349789511. The cubic root of 19991048 is about 271.4012565047.

The spelling of 19991048 in words is "nineteen million, nine hundred ninety-one thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 17 22 23 28 34 44 46 56 68 77 83 88 92 119 136 154 161 166 184 187 238 253 308 322 332 374 391 476 506 581 616 644 664 748 782 913 952 1012 1162 1288 1309 1411 1496 1564 1771 1826 1909 2024 2324 2618 2737 2822 3128 3542 3652 3818 4301 4648 5236 5474 5644 6391 7084 7304 7636 8602 9877 10472 10948 11288 12782 13363 14168 15272 15521 17204 19754 20999 21896 25564 26726 30107 31042 32453 34408 39508 41998 51128 53452 60214 62084 64906 79016 83996 106904 108647 120428 124168 129812 146993 167992 217294 227171 240856 259624 293986 356983 434588 454342 587972 713966 869176 908684 1175944 1427932 1817368 2498881 2855864 4997762 9995524 19991048