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51341000 = 235351341
BaseRepresentation
bin1100001111011…
…0011011001000
310120121101121112
43003312123020
5101120403000
65032225452
71162251134
oct303663310
9116541545
1051341000
1126a87287
121523b288
13a8378b9
146b663c4
154792235
hex30f66c8

51341000 has 32 divisors (see below), whose sum is σ = 120140280. Its totient is φ = 20536000.

The previous prime is 51340997. The next prime is 51341009. The reversal of 51341000 is 14315.

51341000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 23483716 + 27857284 = 4846^2 + 5278^2 .

It is not an unprimeable number, because it can be changed into a prime (51341009) 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, 24671 + ... + 26670.

Almost surely, 251341000 is an apocalyptic number.

51341000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51341000 is an abundant number, since it is smaller than the sum of its proper divisors (68799280).

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

51341000 is a wasteful number, since it uses less digits than its factorization.

51341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51362 (or 51348 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 51341000 is about 7165.2634285140. The cubic root of 51341000 is about 371.6676609419.

Adding to 51341000 its reverse (14315), we get a palindrome (51355315).

The spelling of 51341000 in words is "fifty-one million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 51341 102682 205364 256705 410728 513410 1026820 1283525 2053640 2567050 5134100 6417625 10268200 12835250 25670500 51341000