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6891328 = 26294779
BaseRepresentation
bin11010010010011101000000
3110222010010101
4122102131000
53231010303
6403412144
7112401223
oct32223500
913863111
106891328
113987614
122384054
131573912
14cb55ba
15911d1d
hex692740

6891328 has 56 divisors (see below), whose sum is σ = 14630400. Its totient is φ = 3214848.

The previous prime is 6891323. The next prime is 6891337. The reversal of 6891328 is 8231986.

6891328 is a nontrivial binomial coefficient, being equal to C(3713, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6891323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87193 + ... + 87271.

Almost surely, 26891328 is an apocalyptic number.

6891328 is the 3712-nd triangular number.

6891328 is the 1238-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6891328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315200).

6891328 is an abundant number, since it is smaller than the sum of its proper divisors (7739072).

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

6891328 is a wasteful number, since it uses less digits than its factorization.

6891328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 157 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The square root of 6891328 is about 2625.1339013467. The cubic root of 6891328 is about 190.2980364070.

The spelling of 6891328 in words is "six million, eight hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 47 58 64 79 94 116 158 188 232 316 376 464 632 752 928 1264 1363 1504 1856 2291 2528 2726 3008 3713 4582 5056 5452 7426 9164 10904 14852 18328 21808 29704 36656 43616 59408 73312 87232 107677 118816 146624 215354 237632 430708 861416 1722832 3445664 6891328