Search a number
-
+
19419824 = 2419127503
BaseRepresentation
bin100101000010…
…1001010110000
31100112121222202
41022011022300
514432413244
61532122332
7324031364
oct112051260
940477882
1019419824
11aa64446
1266063a8
13403c328
1428172a4
151a8904e
hex12852b0

19419824 has 40 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 9108288.

The previous prime is 19419823. The next prime is 19419839. The reversal of 19419824 is 42891491.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19419823) 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, 38357 + ... + 38859.

It is an arithmetic number, because the mean of its divisors is an integer number (999936).

Almost surely, 219419824 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 19419824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

19419824 is an abundant number, since it is smaller than the sum of its proper divisors (20577616).

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

19419824 is a wasteful number, since it uses less digits than its factorization.

19419824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 651 counting only the distinct ones).

The product of its digits is 20736, while the sum is 38.

The square root of 19419824 is about 4406.7929381808. The cubic root of 19419824 is about 268.7912311718.

The spelling of 19419824 in words is "nineteen million, four hundred nineteen thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 76 127 152 254 304 503 508 1006 1016 2012 2032 2413 4024 4826 8048 9557 9652 19114 19304 38228 38608 63881 76456 127762 152912 255524 511048 1022096 1213739 2427478 4854956 9709912 19419824