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55424200 = 23521321317
BaseRepresentation
bin1101001101101…
…1010011001000
310212021211201011
43103123103020
5103142033300
65255533304
71242045406
oct323332310
9125254634
1055424200
1129316027
121668a234
13b6372b0
14750a476
154cebeba
hex34db4c8

55424200 has 48 divisors (see below), whose sum is σ = 138780180. Its totient is φ = 20463360.

The previous prime is 55424179. The next prime is 55424203. The reversal of 55424200 is 242455.

55424200 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 6 ways, for example, as 30404196 + 25020004 = 5514^2 + 5002^2 .

It is not an unprimeable number, because it can be changed into a prime (55424203) 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 11 ways as a sum of consecutive naturals, for example, 8059 + ... + 13258.

Almost surely, 255424200 is an apocalyptic number.

55424200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55424200 is an abundant number, since it is smaller than the sum of its proper divisors (83355980).

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

55424200 is a wasteful number, since it uses less digits than its factorization.

55424200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21346 (or 21337 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 55424200 is about 7444.7431117534. The cubic root of 55424200 is about 381.2704477074.

Adding to 55424200 its reverse (242455), we get a palindrome (55666655).

The spelling of 55424200 in words is "fifty-five million, four hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 21317 42634 85268 106585 170536 213170 277121 426340 532925 554242 852680 1065850 1108484 1385605 2131700 2216968 2771210 4263400 5542420 6928025 11084840 13856050 27712100 55424200