[go: up one dir, main page]

Search a number
-
+
6378048 = 26333691
BaseRepresentation
bin11000010101001001000000
3110000001001000
4120111021000
53113044143
6344412000
7105132615
oct30251100
913001030
106378048
113666a16
122177000
1314240c1
14bc050c
1585ebd3
hex615240

6378048 has 56 divisors (see below), whose sum is σ = 18755360. Its totient is φ = 2125440.

The previous prime is 6378037. The next prime is 6378079. The reversal of 6378048 is 8408736.

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

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, 118 + ... + 3573.

Almost surely, 26378048 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 6378048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9377680).

6378048 is an abundant number, since it is smaller than the sum of its proper divisors (12377312).

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

6378048 is a wasteful number, since it uses less digits than its factorization.

6378048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6378048 is about 2525.4797564027. The cubic root of 6378048 is about 185.4510348502.

The spelling of 6378048 in words is "six million, three hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 3691 7382 11073 14764 22146 29528 33219 44292 59056 66438 88584 99657 118112 132876 177168 199314 236224 265752 354336 398628 531504 708672 797256 1063008 1594512 2126016 3189024 6378048