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51442500 = 22354193
BaseRepresentation
bin1100010000111…
…1001101000100
310120210112211210
43010033031010
5101132130000
65034331420
71163153064
oct304171504
9116715753
1051442500
112704656a
1215289b70
13a871b65
146b913a4
1547b2350
hex310f344

51442500 has 120 divisors (see below), whose sum is σ = 158324320. Its totient is φ = 12996000.

The previous prime is 51442499. The next prime is 51442507. The reversal of 51442500 is 524415.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 475 × 285 × 380.

It is not an unprimeable number, because it can be changed into a prime (51442507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2707491 + ... + 2707509.

Almost surely, 251442500 is an apocalyptic number.

51442500 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 51442500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79162160).

51442500 is an abundant number, since it is smaller than the sum of its proper divisors (106881820).

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

51442500 is an equidigital number, since it uses as much as digits as its factorization.

51442500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 51442500 is about 7172.3427135072. The cubic root of 51442500 is about 371.9124259110.

Adding to 51442500 its reverse (524415), we get a palindrome (51966915).

The spelling of 51442500 in words is "fifty-one million, four hundred forty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 125 150 190 228 250 285 300 361 375 380 475 500 570 625 722 750 950 1083 1140 1250 1425 1444 1500 1805 1875 1900 2166 2375 2500 2850 3610 3750 4332 4750 5415 5700 6859 7125 7220 7500 9025 9500 10830 11875 13718 14250 18050 20577 21660 23750 27075 27436 28500 34295 35625 36100 41154 45125 47500 54150 68590 71250 82308 90250 102885 108300 135375 137180 142500 171475 180500 205770 225625 270750 342950 411540 451250 514425 541500 676875 685900 857375 902500 1028850 1353750 1714750 2057700 2572125 2707500 3429500 4286875 5144250 8573750 10288500 12860625 17147500 25721250 51442500