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51350420 = 225111012311
BaseRepresentation
bin1100001111100…
…0101110010100
310120121212112102
43003320232110
5101121203140
65032341232
71162320452
oct303705624
9116555472
1051350420
1126a93370
1215244818
13a83bc84
146b699d2
154794e15
hex30f8b94

51350420 has 48 divisors (see below), whose sum is σ = 118855296. Its totient is φ = 18480000.

The previous prime is 51350417. The next prime is 51350423. The reversal of 51350420 is 2405315.

51350420 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 (51350417) and next prime (51350423).

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 51350392 and 51350401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51350423) 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, 21065 + ... + 23375.

It is an arithmetic number, because the mean of its divisors is an integer number (2476152).

Almost surely, 251350420 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 51350420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59427648).

51350420 is an abundant number, since it is smaller than the sum of its proper divisors (67504876).

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

51350420 is a wasteful number, since it uses less digits than its factorization.

51350420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 51350420 is about 7165.9207363744. The cubic root of 51350420 is about 371.6903906333.

Adding to 51350420 its reverse (2405315), we get a palindrome (53755735).

The spelling of 51350420 in words is "fifty-one million, three hundred fifty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 2311 4444 4622 5555 9244 11110 11555 22220 23110 25421 46220 50842 101684 127105 233411 254210 466822 508420 933644 1167055 2334110 2567521 4668220 5135042 10270084 12837605 25675210 51350420