Search a number
-
+
38316285 = 3257217377
BaseRepresentation
bin1001001000101…
…0100011111101
32200002200001200
42102022203331
534302110120
63445130113
7643453200
oct222124375
980080050
1038316285
111a6a0657
12109b9939
137c27377
145135937
15356ce90
hex248a8fd

38316285 has 36 divisors (see below), whose sum is σ = 77262588. Its totient is φ = 17515008.

The previous prime is 38316277. The next prime is 38316287. The reversal of 38316285 is 58261383.

38316285 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 2 ways, for example, as 7112889 + 31203396 = 2667^2 + 5586^2 .

It is not a de Polignac number, because 38316285 - 23 = 38316277 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38316287) 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, 6484 + ... + 10893.

It is an arithmetic number, because the mean of its divisors is an integer number (2146183).

Almost surely, 238316285 is an apocalyptic number.

38316285 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38316285 is an abundant number, since it is smaller than the sum of its proper divisors (38946303).

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

38316285 is a wasteful number, since it uses less digits than its factorization.

38316285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17402 (or 17392 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 38316285 is about 6190.0149434392. The cubic root of 38316285 is about 337.1277211967.

The spelling of 38316285 in words is "thirty-eight million, three hundred sixteen thousand, two hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 17377 52131 86885 121639 156393 260655 364917 608195 781965 851473 1094751 1824585 2554419 4257365 5473755 7663257 12772095 38316285