Search a number
-
+
38615087 = 721923759
BaseRepresentation
bin1001001101001…
…1100000101111
32200122211221102
42103103200233
534341140322
63455353315
7646136300
oct223234057
980584842
1038615087
111a8850a5
1210b2283b
138000384
1451b27a7
1535cb792
hex24d382f

38615087 has 36 divisors (see below), whose sum is σ = 49514760. Its totient is φ = 29992032.

The previous prime is 38615081. The next prime is 38615099. The reversal of 38615087 is 78051683.

38615087 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 38615087 - 28 = 38614831 is a prime.

It is a super-2 number, since 2×386150872 = 2982249888035138, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38615087.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38615081) 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 35 ways as a sum of consecutive naturals, for example, 654464 + ... + 654522.

It is an arithmetic number, because the mean of its divisors is an integer number (1375410).

Almost surely, 238615087 is an apocalyptic number.

38615087 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

38615087 is a deficient number, since it is larger than the sum of its proper divisors (10899673).

38615087 is a wasteful number, since it uses less digits than its factorization.

38615087 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 38615087 is about 6214.1038774710. The cubic root of 38615087 is about 338.0017943954.

The spelling of 38615087 in words is "thirty-eight million, six hundred fifteen thousand, eighty-seven".

Divisors: 1 7 19 37 49 59 133 259 361 413 703 931 1121 1813 2183 2527 2891 4921 7847 13357 15281 17689 21299 34447 41477 54929 93499 106967 149093 290339 654493 788063 1043651 2032373 5516441 38615087