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6413328 = 243244537
BaseRepresentation
bin11000011101110000010000
3110001211102200
4120131300100
53120211303
6345243200
7105340515
oct30356020
913054380
106413328
113690479
122193500
13143718c
14bcd30c
1586a3a3
hex61dc10

6413328 has 30 divisors (see below), whose sum is σ = 17948814. Its totient is φ = 2137728.

The previous prime is 6413287. The next prime is 6413333. The reversal of 6413328 is 8233146.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6411024 + 2304 = 2532^2 + 48^2 .

It is a super-2 number, since 2×64133282 = 82261552071168, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22125 + ... + 22412.

Almost surely, 26413328 is an apocalyptic number.

It is an amenable number.

6413328 is an abundant number, since it is smaller than the sum of its proper divisors (11535486).

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

6413328 is a wasteful number, since it uses less digits than its factorization.

6413328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44551 (or 44542 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 6413328 is about 2532.4549354332. The cubic root of 6413328 is about 185.7923454326.

It can be divided in two parts, 641 and 3328, that added together give a square (3969 = 632).

The spelling of 6413328 in words is "six million, four hundred thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 44537 89074 133611 178148 267222 356296 400833 534444 712592 801666 1068888 1603332 2137776 3206664 6413328