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6885376 = 212412
BaseRepresentation
bin11010010001000000000000
3110221210221221
4122101000000
53230313001
6403324424
7112344661
oct32210000
913853857
106885376
1139830a3
122380714
131570cb4
14cb3368
159101a1
hex691000

6885376 has 39 divisors (see below), whose sum is σ = 14113093. Its totient is φ = 3358720.

The previous prime is 6885371. The next prime is 6885377. The reversal of 6885376 is 6735886.

The square root of 6885376 is 2624.

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., 331776 + 6553600 = 576^2 + 2560^2 .

It is a super-2 number, since 2×68853762 = 94816805322752, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (6885371) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 167916 + ... + 167956.

Almost surely, 26885376 is an apocalyptic number.

6885376 is the 2624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6885376

6885376 is an abundant number, since it is smaller than the sum of its proper divisors (7227717).

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

6885376 is an frugal number, since it uses more digits than its factorization.

6885376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 43 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The cubic root of 6885376 is about 190.2432341900.

The spelling of 6885376 in words is "six million, eight hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1024 1312 1681 2048 2624 3362 4096 5248 6724 10496 13448 20992 26896 41984 53792 83968 107584 167936 215168 430336 860672 1721344 3442688 6885376