Search a number
-
+
38678536 = 231317131167
BaseRepresentation
bin1001001110001…
…1000000001000
32200210001222101
42103203000020
534400203121
63501003144
7646522261
oct223430010
980701871
1038678536
111a918836
1210b534b4
138023210
1451cb968
1535e0491
hex24e3008

38678536 has 64 divisors (see below), whose sum is σ = 83825280. Its totient is φ = 16573440.

The previous prime is 38678527. The next prime is 38678537. The reversal of 38678536 is 63587683.

It is not an unprimeable number, because it can be changed into a prime (38678537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231525 + ... + 231691.

It is an arithmetic number, because the mean of its divisors is an integer number (1309770).

Almost surely, 238678536 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 38678536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41912640).

38678536 is an abundant number, since it is smaller than the sum of its proper divisors (45146744).

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

38678536 is a wasteful number, since it uses less digits than its factorization.

38678536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 330 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The square root of 38678536 is about 6219.2070234074. The cubic root of 38678536 is about 338.1868182831.

It can be divided in two parts, 3867 and 8536, that added together give a triangular number (12403 = T157).

The spelling of 38678536 in words is "thirty-eight million, six hundred seventy-eight thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 131 136 167 221 262 334 442 524 668 884 1048 1336 1703 1768 2171 2227 2839 3406 4342 4454 5678 6812 8684 8908 11356 13624 17368 17816 21877 22712 28951 36907 43754 57902 73814 87508 115804 147628 175016 231608 284401 295256 371909 568802 743818 1137604 1487636 2275208 2975272 4834817 9669634 19339268 38678536