Search a number
-
+
19198848 = 273172173
BaseRepresentation
bin100100100111…
…1001110000000
31100010101212110
41021033032000
514403330343
61523255320
7322121214
oct111171600
940111773
1019198848
11a923419
12651a540
133c92886
14279a944
151a43833
hex124f380

19198848 has 96 divisors (see below), whose sum is σ = 54486360. Its totient is φ = 5988352.

The previous prime is 19198847. The next prime is 19198867. The reversal of 19198848 is 84889191.

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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 19198797 and 19198806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19198847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110890 + ... + 111062.

Almost surely, 219198848 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 19198848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27243180).

19198848 is an abundant number, since it is smaller than the sum of its proper divisors (35287512).

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

19198848 is a wasteful number, since it uses less digits than its factorization.

19198848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 195 counting only the distinct ones).

The product of its digits is 165888, while the sum is 48.

The square root of 19198848 is about 4381.6490046557. The cubic root of 19198848 is about 267.7678244622.

The spelling of 19198848 in words is "nineteen million, one hundred ninety-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 173 192 204 272 289 346 384 408 519 544 578 692 816 867 1038 1088 1156 1384 1632 1734 2076 2176 2312 2768 2941 3264 3468 4152 4624 5536 5882 6528 6936 8304 8823 9248 11072 11764 13872 16608 17646 18496 22144 23528 27744 33216 35292 36992 47056 49997 55488 66432 70584 94112 99994 110976 141168 149991 188224 199988 282336 299982 376448 399976 564672 599964 799952 1129344 1199928 1599904 2399856 3199808 4799712 6399616 9599424 19198848