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6744409 = 74532
BaseRepresentation
bin11001101110100101011001
3110200122120221
4121232211121
53211310114
6400320041
7111220000
oct31564531
913618527
106744409
1138971a1
122313021
131521a99
14c77c37
158d3524
hex66e959

6744409 has 15 divisors (see below), whose sum is σ = 8019263. Its totient is φ = 5671848.

The previous prime is 6744407. The next prime is 6744431. The reversal of 6744409 is 9044476.

The square root of 6744409 is 2597.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4862025 + 1882384 = 2205^2 + 1372^2 .

It is not a de Polignac number, because 6744409 - 21 = 6744407 is a prime.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (6744403) 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 14 ways as a sum of consecutive naturals, for example, 127227 + ... + 127279.

Almost surely, 26744409 is an apocalyptic number.

6744409 is the 2597-th square number.

6744409 is the 1299-th centered octagonal number.

It is an amenable number.

6744409 is a deficient number, since it is larger than the sum of its proper divisors (1274854).

6744409 is an frugal number, since it uses more digits than its factorization.

6744409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The cubic root of 6744409 is about 188.9359636740.

The spelling of 6744409 in words is "six million, seven hundred forty-four thousand, four hundred nine".

Divisors: 1 7 49 53 343 371 2401 2597 2809 18179 19663 127253 137641 963487 6744409