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6424704 = 273311132
BaseRepresentation
bin11000100000100010000000
3110002102001000
4120200202000
53121042304
6345412000
7105415626
oct30404200
913072030
106424704
113698a80
12219a000
13143c400
14bd3516
1586d939
hex620880

6424704 has 192 divisors, whose sum is σ = 22399200. Its totient is φ = 1797120.

The previous prime is 6424699. The next prime is 6424723. The reversal of 6424704 is 4074246.

6424704 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 494202 + ... + 494214.

Almost surely, 26424704 is an apocalyptic number.

6424704 is a gapful number since it is divisible by the number (64) 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 6424704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11199600).

6424704 is an abundant number, since it is smaller than the sum of its proper divisors (15974496).

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

6424704 is a wasteful number, since it uses less digits than its factorization.

6424704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 6424704 is about 2534.6999822464. The cubic root of 6424704 is about 185.9021337392.

The spelling of 6424704 in words is "six million, four hundred twenty-four thousand, seven hundred four".