Search a number
-
+
51553200 = 2435242961
BaseRepresentation
bin1100010010101…
…0001110110000
310121000011200210
43010222032300
5101144200300
65040544120
71164123606
oct304521660
9117004623
1051553200
1127111756
1215322040
13a8b036a
146bbd876
1547d5050
hex312a3b0

51553200 has 60 divisors (see below), whose sum is σ = 165145928. Its totient is φ = 13747200.

The previous prime is 51553193. The next prime is 51553211. The reversal of 51553200 is 235515.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 20281 + ... + 22680.

Almost surely, 251553200 is an apocalyptic number.

51553200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51553200 is an abundant number, since it is smaller than the sum of its proper divisors (113592728).

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

51553200 is a wasteful number, since it uses less digits than its factorization.

51553200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42982 (or 42971 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 51553200 is about 7180.0557100903. The cubic root of 51553200 is about 372.1790096944.

Adding to 51553200 its reverse (235515), we get a palindrome (51788715).

The spelling of 51553200 in words is "fifty-one million, five hundred fifty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 42961 85922 128883 171844 214805 257766 343688 429610 515532 644415 687376 859220 1031064 1074025 1288830 1718440 2062128 2148050 2577660 3222075 3436880 4296100 5155320 6444150 8592200 10310640 12888300 17184400 25776600 51553200