Search a number
-
+
38768947 = 7467241
BaseRepresentation
bin1001001111100…
…1000100110011
32200221122222221
42103321010303
534411101242
63502541511
7650350000
oct223710463
980848887
1038768947
111a97a758
1210b97897
138055409
1452128a7
15360c167
hex24f9133

38768947 has 20 divisors (see below), whose sum is σ = 46093256. Its totient is φ = 32598720.

The previous prime is 38768927. The next prime is 38768953. The reversal of 38768947 is 74986783.

It is a happy number.

38768947 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38768947 - 27 = 38768819 is a prime.

It is a Duffinian number.

Its product of digits (2032128) is a multiple of the sum of its prime factors (336).

It is a junction number, because it is equal to n+sod(n) for n = 38768894 and 38768903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38768927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 160747 + ... + 160987.

Almost surely, 238768947 is an apocalyptic number.

38768947 is a deficient number, since it is larger than the sum of its proper divisors (7324309).

38768947 is an frugal number, since it uses more digits than its factorization.

38768947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 315 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 52.

The square root of 38768947 is about 6226.4714726721. The cubic root of 38768947 is about 338.4501169051.

The spelling of 38768947 in words is "thirty-eight million, seven hundred sixty-eight thousand, nine hundred forty-seven".

Divisors: 1 7 49 67 241 343 469 1687 2401 3283 11809 16147 22981 82663 113029 160867 578641 791203 5538421 38768947