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51330820 = 22517433511
BaseRepresentation
bin1100001111001…
…1111100000100
310120120212122111
43003303330010
5101120041240
65032110404
71162206352
oct303637404
9116525574
1051330820
1126a7a672
1215235404
13a833088
146b627d2
15478e1ea
hex30f3f04

51330820 has 48 divisors (see below), whose sum is σ = 116823168. Its totient is φ = 18869760.

The previous prime is 51330791. The next prime is 51330821. The reversal of 51330820 is 2803315.

51330820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 51330791 and 51330800.

It is not an unprimeable number, because it can be changed into a prime (51330821) 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 15 ways as a sum of consecutive naturals, for example, 12865 + ... + 16375.

It is an arithmetic number, because the mean of its divisors is an integer number (2433816).

Almost surely, 251330820 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 51330820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58411584).

51330820 is an abundant number, since it is smaller than the sum of its proper divisors (65492348).

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

51330820 is a wasteful number, since it uses less digits than its factorization.

51330820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 51330820 is about 7164.5530216476. The cubic root of 51330820 is about 371.6430943065.

The spelling of 51330820 in words is "fifty-one million, three hundred thirty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 43 68 85 86 170 172 215 340 430 731 860 1462 2924 3511 3655 7022 7310 14044 14620 17555 35110 59687 70220 119374 150973 238748 298435 301946 596870 603892 754865 1193740 1509730 2566541 3019460 5133082 10266164 12832705 25665410 51330820