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51550200 = 233252132203
BaseRepresentation
bin1100010010100…
…1011111111000
310121000000120200
43010221133320
5101144101300
65040522200
71164112062
oct304513770
9117000520
1051550200
112710a479
1215320360
13a8abba0
146bbc732
1547d4200
hex31297f8

51550200 has 144 divisors (see below), whose sum is σ = 186524520. Its totient is φ = 12683520.

The previous prime is 51550183. The next prime is 51550201. The reversal of 51550200 is 205515.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51550201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22299 + ... + 24501.

Almost surely, 251550200 is an apocalyptic number.

51550200 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 51550200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93262260).

51550200 is an abundant number, since it is smaller than the sum of its proper divisors (134974320).

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

51550200 is a wasteful number, since it uses less digits than its factorization.

51550200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 51550200 is about 7179.8467950229. The cubic root of 51550200 is about 372.1717902351.

Adding to 51550200 its reverse (205515), we get a palindrome (51755715).

The spelling of 51550200 in words is "fifty-one million, five hundred fifty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1560 1800 1950 2203 2340 2600 2925 3900 4406 4680 5850 6609 7800 8812 11015 11700 13218 17624 19827 22030 23400 26436 28639 33045 39654 44060 52872 55075 57278 66090 79308 85917 88120 99135 110150 114556 132180 143195 158616 165225 171834 198270 220300 229112 257751 264360 286390 330450 343668 396540 429585 440600 495675 515502 572780 660900 687336 715975 793080 859170 991350 1031004 1145560 1288755 1321800 1431950 1718340 1982700 2062008 2147925 2577510 2863900 3436680 3965400 4295850 5155020 5727800 6443775 8591700 10310040 12887550 17183400 25775100 51550200