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51534820 = 22517151573
BaseRepresentation
bin1100010010010…
…1101111100100
310120222020111001
43010211233210
5101143103240
65040323044
71164016201
oct304455744
9116866431
1051534820
11270a9967
1215313484
13a8a4b9c
146bb6ca8
1547ce89a
hex3125be4

51534820 has 24 divisors (see below), whose sum is σ = 114589944. Its totient is φ = 19401216.

The previous prime is 51534811. The next prime is 51534829. The reversal of 51534820 is 2843515.

51534820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51534811) and next prime (51534829).

It can be written as a sum of positive squares in 4 ways, for example, as 10086976 + 41447844 = 3176^2 + 6438^2 .

It is not an unprimeable number, because it can be changed into a prime (51534829) 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 7 ways as a sum of consecutive naturals, for example, 75447 + ... + 76126.

It is an arithmetic number, because the mean of its divisors is an integer number (4774581).

Almost surely, 251534820 is an apocalyptic number.

It is an amenable number.

51534820 is an abundant number, since it is smaller than the sum of its proper divisors (63055124).

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

51534820 is a wasteful number, since it uses less digits than its factorization.

51534820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151599 (or 151597 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 51534820 is about 7178.7756616292. The cubic root of 51534820 is about 372.1347740742.

The spelling of 51534820 in words is "fifty-one million, five hundred thirty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 151573 303146 606292 757865 1515730 2576741 3031460 5153482 10306964 12883705 25767410 51534820