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38140947 = 3213417951
BaseRepresentation
bin1001000101111…
…1110000010011
32122202202112200
42101133300103
534231002242
63441254243
7642123045
oct221376023
978682480
1038140947
111a590949
1210934383
137b95610
1450cba95
15353604c
hex245fc13

38140947 has 24 divisors (see below), whose sum is σ = 60785088. Its totient is φ = 22896000.

The previous prime is 38140931. The next prime is 38140997. The reversal of 38140947 is 74904183.

It is a happy number.

38140947 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 38140947 - 24 = 38140931 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38140997) 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, 822 + ... + 8772.

It is an arithmetic number, because the mean of its divisors is an integer number (2532712).

Almost surely, 238140947 is an apocalyptic number.

38140947 is a deficient number, since it is larger than the sum of its proper divisors (22644141).

38140947 is a wasteful number, since it uses less digits than its factorization.

38140947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8011 (or 8008 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 38140947 is about 6175.8357329191. The cubic root of 38140947 is about 336.6126947868.

It can be divided in two parts, 381 and 40947, that added together give a triangular number (41328 = T287).

The spelling of 38140947 in words is "thirty-eight million, one hundred forty thousand, nine hundred forty-seven".

Divisors: 1 3 9 13 39 41 117 123 369 533 1599 4797 7951 23853 71559 103363 310089 325991 930267 977973 2933919 4237883 12713649 38140947