Search a number
-
+
6393904 = 2411172137
BaseRepresentation
bin11000011001000000110000
3110000211210021
4120121000300
53114101104
6345013224
7105230056
oct30310060
913024707
106393904
113677920
122184214
13142b39a
14bc61d6
15864754
hex619030

6393904 has 40 divisors (see below), whose sum is σ = 14316048. Its totient is φ = 2734080.

The previous prime is 6393869. The next prime is 6393911. The reversal of 6393904 is 4093936.

It is a super-2 number, since 2×63939042 = 81764016722432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a d-powerful number, because it can be written as 63 + 3 + 9 + 313 + 97 + 0 + 47 .

It is a self number, because there is not a number n which added to its sum of digits gives 6393904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1924 + ... + 4060.

Almost surely, 26393904 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 6393904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7158024).

6393904 is an abundant number, since it is smaller than the sum of its proper divisors (7922144).

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

6393904 is a wasteful number, since it uses less digits than its factorization.

6393904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 34.

The square root of 6393904 is about 2528.6170133098. The cubic root of 6393904 is about 185.6045864404.

Subtracting from 6393904 its reverse (4093936), we obtain a cube (2299968 = 1323).

The spelling of 6393904 in words is "six million, three hundred ninety-three thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1496 2137 2992 4274 8548 17096 23507 34192 36329 47014 72658 94028 145316 188056 290632 376112 399619 581264 799238 1598476 3196952 6393904