Search a number
-
+
19438944 = 253728927
BaseRepresentation
bin100101000100…
…1110101100000
31100120121012220
41022021311200
514434021234
61532351040
7324141210
oct112116540
940517186
1019438944
11aa77848
126615480
134047c45
142820240
151a8ea49
hex1289d60

19438944 has 48 divisors (see below), whose sum is σ = 58318848. Its totient is φ = 5553792.

The previous prime is 19438943. The next prime is 19438963. The reversal of 19438944 is 44983491.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 19438896 and 19438905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19438943) 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, 13792 + ... + 15135.

It is an arithmetic number, because the mean of its divisors is an integer number (1214976).

Almost surely, 219438944 is an apocalyptic number.

19438944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

19438944 is an abundant number, since it is smaller than the sum of its proper divisors (38879904).

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

19438944 is a wasteful number, since it uses less digits than its factorization.

19438944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28947 (or 28939 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 19438944 is about 4408.9617825515. The cubic root of 19438944 is about 268.8794160186.

The spelling of 19438944 in words is "nineteen million, four hundred thirty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 28927 57854 86781 115708 173562 202489 231416 347124 404978 462832 607467 694248 809956 925664 1214934 1388496 1619912 2429868 2776992 3239824 4859736 6479648 9719472 19438944