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51350000 = 24551379
BaseRepresentation
bin1100001111100…
…0100111110000
310120121211221212
43003320213300
5101121200000
65032335252
71162316312
oct303704760
9116554855
1051350000
1126a93019
1215244528
13a83ba20
146b697b2
154794c35
hex30f89f0

51350000 has 120 divisors (see below), whose sum is σ = 135616320. Its totient is φ = 18720000.

The previous prime is 51349993. The next prime is 51350003. The reversal of 51350000 is 5315.

51350000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51350003) 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 23 ways as a sum of consecutive naturals, for example, 649961 + ... + 650039.

It is an arithmetic number, because the mean of its divisors is an integer number (1130136).

Almost surely, 251350000 is an apocalyptic number.

51350000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67808160).

51350000 is an abundant number, since it is smaller than the sum of its proper divisors (84266320).

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

51350000 is an equidigital number, since it uses as much as digits as its factorization.

51350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 51350000 is about 7165.8914309387. The cubic root of 51350000 is about 371.6893772668.

Adding to 51350000 its reverse (5315), we get a palindrome (51355315).

The spelling of 51350000 in words is "fifty-one million, three hundred fifty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 79 80 100 104 125 130 158 200 208 250 260 316 325 395 400 500 520 625 632 650 790 1000 1027 1040 1250 1264 1300 1580 1625 1975 2000 2054 2500 2600 3125 3160 3250 3950 4108 5000 5135 5200 6250 6320 6500 7900 8125 8216 9875 10000 10270 12500 13000 15800 16250 16432 19750 20540 25000 25675 26000 31600 32500 39500 40625 41080 49375 50000 51350 65000 79000 81250 82160 98750 102700 128375 130000 158000 162500 197500 205400 246875 256750 325000 395000 410800 493750 513500 641875 650000 790000 987500 1027000 1283750 1975000 2054000 2567500 3209375 3950000 5135000 6418750 10270000 12837500 25675000 51350000