Search a number
-
+
19484928 = 28332819
BaseRepresentation
bin100101001010…
…1000100000000
31100122221022000
41022111010000
514442004203
61533344000
7324422241
oct112250400
940587260
1019484928
11aaa9351
126638000
134062b58
142832cc8
151a9d4a3
hex1295100

19484928 has 72 divisors (see below), whose sum is σ = 57640800. Its totient is φ = 6492672.

The previous prime is 19484917. The next prime is 19484939. The reversal of 19484928 is 82948491.

It is an interprime number because it is at equal distance from previous prime (19484917) and next prime (19484939).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5503 + ... + 8321.

Almost surely, 219484928 is an apocalyptic number.

19484928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19484928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28820400).

19484928 is an abundant number, since it is smaller than the sum of its proper divisors (38155872).

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

19484928 is an equidigital number, since it uses as much as digits as its factorization.

19484928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844 (or 2824 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 19484928 is about 4414.1735353291. The cubic root of 19484928 is about 269.0912659092.

The spelling of 19484928 in words is "nineteen million, four hundred eighty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 2819 3456 5638 6912 8457 11276 16914 22552 25371 33828 45104 50742 67656 76113 90208 101484 135312 152226 180416 202968 270624 304452 360832 405936 541248 608904 721664 811872 1082496 1217808 1623744 2164992 2435616 3247488 4871232 6494976 9742464 19484928