Search a number
-
+
19948672 = 27155849
BaseRepresentation
bin100110000011…
…0010010000000
31101112111102201
41030012102000
520101324142
61551322544
7331363252
oct114062200
941474381
1019948672
1110295807
126820454
134195c63
142913cd2
151b40ab7
hex1306480

19948672 has 16 divisors (see below), whose sum is σ = 39741750. Its totient is φ = 9974272.

The previous prime is 19948639. The next prime is 19948679. The reversal of 19948672 is 27684991.

It can be written as a sum of positive squares in only one way, i.e., 15178816 + 4769856 = 3896^2 + 2184^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (19948679) by changing a digit.

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 as a sum of consecutive naturals, namely, 77797 + ... + 78052.

Almost surely, 219948672 is an apocalyptic number.

It is an amenable number.

19948672 is a deficient number, since it is larger than the sum of its proper divisors (19793078).

19948672 is an equidigital number, since it uses as much as digits as its factorization.

19948672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155863 (or 155851 counting only the distinct ones).

The product of its digits is 217728, while the sum is 46.

The square root of 19948672 is about 4466.3936234954. The cubic root of 19948672 is about 271.2093533494.

The spelling of 19948672 in words is "nineteen million, nine hundred forty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 155849 311698 623396 1246792 2493584 4987168 9974336 19948672