Search a number
-
+
38532680 = 2355691693
BaseRepresentation
bin1001001011111…
…1011001001000
32200111122220022
42102333121020
534331021210
63453520012
7645344114
oct222773110
980448808
1038532680
111a82919a
1210aa3008
137ca1a04
145190744
1535b2155
hex24bf648

38532680 has 32 divisors (see below), whose sum is σ = 86902200. Its totient is φ = 15376896.

The previous prime is 38532679. The next prime is 38532691. The reversal of 38532680 is 8623583.

38532680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 22259524 + 16273156 = 4718^2 + 4034^2 .

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 38532680.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 21914 + ... + 23606.

Almost surely, 238532680 is an apocalyptic number.

It is an amenable number.

38532680 is an abundant number, since it is smaller than the sum of its proper divisors (48369520).

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

38532680 is a wasteful number, since it uses less digits than its factorization.

38532680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 38532680 is about 6207.4696938447. The cubic root of 38532680 is about 337.7611841969.

The spelling of 38532680 in words is "thirty-eight million, five hundred thirty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 569 1138 1693 2276 2845 3386 4552 5690 6772 8465 11380 13544 16930 22760 33860 67720 963317 1926634 3853268 4816585 7706536 9633170 19266340 38532680