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51171328 = 21213312
BaseRepresentation
bin1100001100110…
…1000000000000
310120021202212101
43003031000000
5101044440303
65024440144
71160643355
oct303150000
9116252771
1051171328
112698085a
1215179054
13a7a85c0
146b2062c
15475bd1d
hex30cd000

51171328 has 78 divisors (see below), whose sum is σ = 113871282. Its totient is φ = 22855680.

The previous prime is 51171319. The next prime is 51171331. The reversal of 51171328 is 82317115.

It can be written as a sum of positive squares in only one way, i.e., 35426304 + 15745024 = 5952^2 + 3968^2 .

It is a junction number, because it is equal to n+sod(n) for n = 51171296 and 51171305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1650673 + ... + 1650703.

Almost surely, 251171328 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 51171328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56935641).

51171328 is an abundant number, since it is smaller than the sum of its proper divisors (62699954).

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

51171328 is an equidigital number, since it uses as much as digits as its factorization.

51171328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 46 counting only the distinct ones).

The product of its digits is 1680, while the sum is 28.

The square root of 51171328 is about 7153.4137305206. The cubic root of 51171328 is about 371.2577793531.

The spelling of 51171328 in words is "fifty-one million, one hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 512 806 832 961 992 1024 1612 1664 1922 1984 2048 3224 3328 3844 3968 4096 6448 6656 7688 7936 12493 12896 13312 15376 15872 24986 25792 26624 30752 31744 49972 51584 53248 61504 63488 99944 103168 123008 126976 199888 206336 246016 399776 412672 492032 799552 825344 984064 1599104 1650688 1968128 3198208 3936256 6396416 12792832 25585664 51171328