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19949568 = 211317191
BaseRepresentation
bin100110000011…
…0100000000000
31101112112122220
41030012200000
520101341233
61551331040
7331366002
oct114064000
941475586
1019949568
1110296451
126820a80
1341964a2
142914372
151b40eb3
hex1306800

19949568 has 96 divisors (see below), whose sum is σ = 56609280. Its totient is φ = 6225920.

The previous prime is 19949561. The next prime is 19949581. The reversal of 19949568 is 86594991.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 19949568.

It is not an unprimeable number, because it can be changed into a prime (19949561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104353 + ... + 104543.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 219949568 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 19949568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304640).

19949568 is an abundant number, since it is smaller than the sum of its proper divisors (36659712).

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

19949568 is a wasteful number, since it uses less digits than its factorization.

19949568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 213 counting only the distinct ones).

The product of its digits is 699840, while the sum is 51.

The square root of 19949568 is about 4466.4939270081. The cubic root of 19949568 is about 271.2134137691.

The spelling of 19949568 in words is "nineteen million, nine hundred forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 191 192 204 256 272 382 384 408 512 544 573 764 768 816 1024 1088 1146 1528 1536 1632 2048 2176 2292 3056 3072 3247 3264 4352 4584 6112 6144 6494 6528 8704 9168 9741 12224 12988 13056 17408 18336 19482 24448 25976 26112 34816 36672 38964 48896 51952 52224 73344 77928 97792 103904 104448 146688 155856 195584 207808 293376 311712 391168 415616 586752 623424 831232 1173504 1246848 1662464 2493696 3324928 4987392 6649856 9974784 19949568