Search a number
-
+
38105312 = 257672539
BaseRepresentation
bin1001000101011…
…1000011100000
32122200221122212
42101113003200
534223332222
63440421252
7641614130
oct221270340
978627585
1038105312
111a5670a3
1210917828
137b8232b
1450bcac0
15352a6e2
hex24570e0

38105312 has 48 divisors (see below), whose sum is σ = 87050880. Its totient is φ = 16080768.

The previous prime is 38105311. The next prime is 38105323. The reversal of 38105312 is 21350183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38105311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13739 + ... + 16277.

It is an arithmetic number, because the mean of its divisors is an integer number (1813560).

Almost surely, 238105312 is an apocalyptic number.

38105312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38105312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43525440).

38105312 is an abundant number, since it is smaller than the sum of its proper divisors (48945568).

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

38105312 is a wasteful number, since it uses less digits than its factorization.

38105312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 38105312 is about 6172.9500240971. The cubic root of 38105312 is about 336.5078299634.

Adding to 38105312 its reverse (21350183), we get a palindrome (59455495).

The spelling of 38105312 in words is "thirty-eight million, one hundred five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 67 112 134 224 268 469 536 938 1072 1876 2144 2539 3752 5078 7504 10156 15008 17773 20312 35546 40624 71092 81248 142184 170113 284368 340226 568736 680452 1190791 1360904 2381582 2721808 4763164 5443616 9526328 19052656 38105312