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51441500 = 22531147199
BaseRepresentation
bin1100010000111…
…0111101011100
310120210111110202
43010032331130
5101132112000
65034323032
71163150135
oct304167534
9116714422
1051441500
1127045840
1215289478
13a871576
146b90c8c
1547b1dd5
hex310ef5c

51441500 has 96 divisors (see below), whose sum is σ = 125798400. Its totient is φ = 18216000.

The previous prime is 51441497. The next prime is 51441503. The reversal of 51441500 is 514415.

It is an interprime number because it is at equal distance from previous prime (51441497) and next prime (51441503).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51441503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258401 + ... + 258599.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 251441500 is an apocalyptic number.

51441500 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 51441500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

51441500 is an abundant number, since it is smaller than the sum of its proper divisors (74356900).

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

51441500 is a wasteful number, since it uses less digits than its factorization.

51441500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 51441500 is about 7172.2730009391. The cubic root of 51441500 is about 371.9100160046.

Adding to 51441500 its reverse (514415), we get a palindrome (51955915).

Multiplying 51441500 by its reverse (514415), we get a square (26462279222500 = 51441502).

51441500 divided by its reverse (514415) gives a square (100 = 102).

The spelling of 51441500 in words is "fifty-one million, four hundred forty-one thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 125 188 199 220 235 250 275 398 470 500 517 550 796 940 995 1034 1100 1175 1375 1990 2068 2189 2350 2585 2750 3980 4378 4700 4975 5170 5500 5875 8756 9353 9950 10340 10945 11750 12925 18706 19900 21890 23500 24875 25850 37412 43780 46765 49750 51700 54725 64625 93530 99500 102883 109450 129250 187060 205766 218900 233825 258500 273625 411532 467650 514415 547250 935300 1028830 1094500 1169125 2057660 2338250 2572075 4676500 5144150 10288300 12860375 25720750 51441500