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6404024 = 2311611193
BaseRepresentation
bin11000011011011110111000
3110001100200002
4120123132320
53114412044
6345132132
7105301424
oct30333670
913040602
106404024
113684490
12218a048
131432b83
14bc9b84
1586774e
hex61b7b8

6404024 has 32 divisors (see below), whose sum is σ = 13325040. Its totient is φ = 2860800.

The previous prime is 6404023. The next prime is 6404059. The reversal of 6404024 is 4204046.

It is a junction number, because it is equal to n+sod(n) for n = 6403987 and 6404005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6404023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4772 + ... + 5964.

Almost surely, 26404024 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 6404024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6662520).

6404024 is an abundant number, since it is smaller than the sum of its proper divisors (6921016).

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

6404024 is a wasteful number, since it uses less digits than its factorization.

6404024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 6404024 is about 2530.6173159923. The cubic root of 6404024 is about 185.7024571784.

It can be divided in two parts, 640 and 4024, that added together give a palindrome (4664).

The spelling of 6404024 in words is "six million, four hundred four thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 61 88 122 244 488 671 1193 1342 2386 2684 4772 5368 9544 13123 26246 52492 72773 104984 145546 291092 582184 800503 1601006 3202012 6404024