[go: up one dir, main page]

Search a number
-
+
6381408 = 253116043
BaseRepresentation
bin11000010101111101100000
3110000012122110
4120111331200
53113201113
6344435320
7105145455
oct30257540
913005573
106381408
1136694a0
122178b40
1314257a7
14bc182c
15860bc3
hex615f60

6381408 has 48 divisors (see below), whose sum is σ = 18277056. Its totient is φ = 1933440.

The previous prime is 6381407. The next prime is 6381437. The reversal of 6381408 is 8041836.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6381407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1966 + ... + 4077.

It is an arithmetic number, because the mean of its divisors is an integer number (380772).

Almost surely, 26381408 is an apocalyptic number.

It is an amenable number.

6381408 is an abundant number, since it is smaller than the sum of its proper divisors (11895648).

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

6381408 is a wasteful number, since it uses less digits than its factorization.

6381408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6067 (or 6059 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 6381408 is about 2526.1448889563. The cubic root of 6381408 is about 185.4835947645.

Subtracting from 6381408 its sum of digits (30), we obtain a triangular number (6381378 = T3572).

The spelling of 6381408 in words is "six million, three hundred eighty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 6043 12086 18129 24172 36258 48344 66473 72516 96688 132946 145032 193376 199419 265892 290064 398838 531784 580128 797676 1063568 1595352 2127136 3190704 6381408