Search a number
-
+
19429248 = 273192663
BaseRepresentation
bin100101000011…
…1011110000000
31100120002220210
41022013132000
514433213443
61532234120
7324101016
oct112073600
940502823
1019429248
11aa70533
12660b940
1340436c7
14281a8b6
151a8bc33
hex1287780

19429248 has 64 divisors (see below), whose sum is σ = 54345600. Its totient is φ = 6133248.

The previous prime is 19429243. The next prime is 19429253. The reversal of 19429248 is 84292491.

It is an interprime number because it is at equal distance from previous prime (19429243) and next prime (19429253).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19429243) 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, 5965 + ... + 8627.

It is an arithmetic number, because the mean of its divisors is an integer number (849150).

Almost surely, 219429248 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 19429248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27172800).

19429248 is an abundant number, since it is smaller than the sum of its proper divisors (34916352).

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

19429248 is a wasteful number, since it uses less digits than its factorization.

19429248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2699 (or 2687 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 19429248 is about 4407.8620668074. The cubic root of 19429248 is about 268.8347035693.

It can be divided in two parts, 1 and 9429248, that added together give a palindrome (9429249).

The spelling of 19429248 in words is "nineteen million, four hundred twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 2663 3648 5326 7296 7989 10652 15978 21304 31956 42608 50597 63912 85216 101194 127824 151791 170432 202388 255648 303582 340864 404776 511296 607164 809552 1022592 1214328 1619104 2428656 3238208 4857312 6476416 9714624 19429248