Search a number
-
+
6308928 = 26341217
BaseRepresentation
bin11000000100010001000000
3102212112020000
4120010101000
53103341203
6343120000
7104424243
oct30042100
912775200
106308928
113619a9a
122143000
1313cb7c2
14ba325a
158494a3
hex604440

6308928 has 70 divisors (see below), whose sum is σ = 18717006. Its totient is φ = 2101248.

The previous prime is 6308891. The next prime is 6308947. The reversal of 6308928 is 8298036.

It can be written as a sum of positive squares in only one way, i.e., 4981824 + 1327104 = 2232^2 + 1152^2 .

It is a super-3 number, since 3×63089283 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6308892 and 6308901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4576 + ... + 5792.

Almost surely, 26308928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6308928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9358503).

6308928 is an abundant number, since it is smaller than the sum of its proper divisors (12408078).

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

6308928 is a wasteful number, since it uses less digits than its factorization.

6308928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6308928 is about 2511.7579501218. The cubic root of 6308928 is about 184.7786785993.

The spelling of 6308928 in words is "six million, three hundred eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1217 1296 1728 2434 2592 3651 4868 5184 7302 9736 10953 14604 19472 21906 29208 32859 38944 43812 58416 65718 77888 87624 98577 116832 131436 175248 197154 233664 262872 350496 394308 525744 700992 788616 1051488 1577232 2102976 3154464 6308928