Search a number
-
+
19493768 = 23722232
BaseRepresentation
bin100101001011…
…1001110001000
31100200101102102
41022113032020
514442300033
61533452532
7324460100
oct112271610
940611372
1019493768
1110004a58
126641148
134066b98
142836200
151aa0de8
hex1297388

19493768 has 36 divisors (see below), whose sum is σ = 42709815. Its totient is φ = 8317008.

The previous prime is 19493731. The next prime is 19493797. The reversal of 19493768 is 86739491.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 9746884 + 9746884 = 3122^2 + 3122^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3122.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 87305 + ... + 87527.

Almost surely, 219493768 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 19493768

19493768 is an abundant number, since it is smaller than the sum of its proper divisors (23216047).

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

19493768 is an equidigital number, since it uses as much as digits as its factorization.

19493768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 232 counting only the distinct ones).

The product of its digits is 326592, while the sum is 47.

The square root of 19493768 is about 4415.1747417288. The cubic root of 19493768 is about 269.1319538902.

The spelling of 19493768 in words is "nineteen million, four hundred ninety-three thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 223 392 446 892 1561 1784 3122 6244 10927 12488 21854 43708 49729 87416 99458 198916 348103 397832 696206 1392412 2436721 2784824 4873442 9746884 19493768