Search a number
-
+
38140963 = 725979167
BaseRepresentation
bin1001000101111…
…1110000100011
32122202202120021
42101133300203
534231002323
63441254311
7642123100
oct221376043
978682507
1038140963
111a590963
1210934397
137b95623
1450cbaa7
15353605d
hex245fc23

38140963 has 24 divisors (see below), whose sum is σ = 45964800. Its totient is φ = 31541328.

The previous prime is 38140931. The next prime is 38140997. The reversal of 38140963 is 36904183.

38140963 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 38140963 - 25 = 38140931 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38140903) 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 23 ways as a sum of consecutive naturals, for example, 228306 + ... + 228472.

It is an arithmetic number, because the mean of its divisors is an integer number (1915200).

Almost surely, 238140963 is an apocalyptic number.

38140963 is a deficient number, since it is larger than the sum of its proper divisors (7823837).

38140963 is a wasteful number, since it uses less digits than its factorization.

38140963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 38140963 is about 6175.8370282902. The cubic root of 38140963 is about 336.6127418560.

The spelling of 38140963 in words is "thirty-eight million, one hundred forty thousand, nine hundred sixty-three".

Divisors: 1 7 49 59 79 167 413 553 1169 2891 3871 4661 8183 9853 13193 32627 68971 92351 228389 482797 646457 778387 5448709 38140963