Search a number
-
+
38649975 = 3527213809
BaseRepresentation
bin1001001101110…
…0000001110111
32200201121210120
42103130001313
534343244400
63500223023
7646343100
oct223340167
980647716
1038649975
111a8a9331
1210b3aa73
138013210
1451c13a7
1535d6ca0
hex24dc077

38649975 has 72 divisors (see below), whose sum is σ = 80151120. Its totient is φ = 16289280.

The previous prime is 38649943. The next prime is 38649977. The reversal of 38649975 is 57994683.

38649975 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 38649975 - 25 = 38649943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38649977) 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 71 ways as a sum of consecutive naturals, for example, 47371 + ... + 48179.

It is an arithmetic number, because the mean of its divisors is an integer number (1113210).

Almost surely, 238649975 is an apocalyptic number.

38649975 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38649975 is an abundant number, since it is smaller than the sum of its proper divisors (41501145).

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

38649975 is a wasteful number, since it uses less digits than its factorization.

38649975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 837 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 38649975 is about 6216.9104063031. The cubic root of 38649975 is about 338.1035564955.

The spelling of 38649975 in words is "thirty-eight million, six hundred forty-nine thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 49 65 75 91 105 147 175 195 245 273 325 455 525 637 735 809 975 1225 1365 1911 2275 2427 3185 3675 4045 5663 6825 9555 10517 12135 15925 16989 20225 28315 31551 39641 47775 52585 60675 73619 84945 118923 141575 157755 198205 220857 262925 368095 424725 515333 594615 788775 991025 1104285 1545999 1840475 2576665 2973075 5521425 7729995 12883325 38649975