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51356500 = 2253137901
BaseRepresentation
bin1100001111101…
…0001101010100
310120122011212121
43003322031110
5101121402000
65032425324
71162344256
oct303721524
9116564777
1051356500
1126a97998
1215248244
13a841980
146b6bcd6
154796b1a
hex30fa354

51356500 has 48 divisors (see below), whose sum is σ = 120805776. Its totient is φ = 18960000.

The previous prime is 51356497. The next prime is 51356509. The reversal of 51356500 is 565315.

51356500 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 8 ways, for example, as 21566736 + 29789764 = 4644^2 + 5458^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51356509) 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, 2550 + ... + 10450.

It is an arithmetic number, because the mean of its divisors is an integer number (2516787).

Almost surely, 251356500 is an apocalyptic number.

51356500 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 51356500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60402888).

51356500 is an abundant number, since it is smaller than the sum of its proper divisors (69449276).

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

51356500 is a wasteful number, since it uses less digits than its factorization.

51356500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7933 (or 7921 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 51356500 is about 7166.3449540194. The cubic root of 51356500 is about 371.7050597012.

The spelling of 51356500 in words is "fifty-one million, three hundred fifty-six thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 3250 6500 7901 15802 31604 39505 79010 102713 158020 197525 205426 395050 410852 513565 790100 987625 1027130 1975250 2054260 2567825 3950500 5135650 10271300 12839125 25678250 51356500