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19930848 = 2537219223
BaseRepresentation
bin100110000000…
…1111011100000
31101111120222120
41030001323200
520100241343
61551104240
7331260300
oct114017340
941446876
1019930848
1110283383
126812080
13418ab02
14290b600
151b3a683
hex1301ee0

19930848 has 144 divisors (see below), whose sum is σ = 64350720. Its totient is φ = 5370624.

The previous prime is 19930847. The next prime is 19930871. The reversal of 19930848 is 84803991.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19930843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89265 + ... + 89487.

It is an arithmetic number, because the mean of its divisors is an integer number (446880).

Almost surely, 219930848 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 19930848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32175360).

19930848 is an abundant number, since it is smaller than the sum of its proper divisors (44419872).

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

19930848 is a wasteful number, since it uses less digits than its factorization.

19930848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 19930848 is about 4464.3978317350. The cubic root of 19930848 is about 271.1285547218.

The spelling of 19930848 in words is "nineteen million, nine hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 76 84 96 98 112 114 133 147 152 168 196 223 224 228 266 294 304 336 392 399 446 456 532 588 608 669 672 784 798 892 912 931 1064 1176 1338 1561 1568 1596 1784 1824 1862 2128 2352 2676 2793 3122 3192 3568 3724 4237 4256 4683 4704 5352 5586 6244 6384 7136 7448 8474 9366 10704 10927 11172 12488 12711 12768 14896 16948 18732 21408 21854 22344 24976 25422 29659 29792 32781 33896 37464 43708 44688 49952 50844 59318 65562 67792 74928 87416 88977 89376 101688 118636 131124 135584 149856 174832 177954 203376 207613 237272 262248 349664 355908 406752 415226 474544 524496 622839 711816 830452 949088 1048992 1245678 1423632 1660904 2491356 2847264 3321808 4982712 6643616 9965424 19930848