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55424930625 = 3254432732
BaseRepresentation
bin110011100111100101…
…010101001101000001
312022001122210012102100
4303213211111031001
51402002240240000
641243432341013
74001324065011
oct634745251501
9168048705370
1055424930625
1121561a23799
12a8a9844769
1352c395b64c
14297b005c41
151695c86a00
hexce7955341

55424930625 has 135 divisors (see below), whose sum is σ = 103843655487. Its totient is φ = 28477008000.

The previous prime is 55424930623. The next prime is 55424930699. The reversal of 55424930625 is 52603942455.

The square root of 55424930625 is 235425.

It is a perfect power (a square), and thus also a powerful number.

55424930625 is a `hidden beast` number, since 5 + 542 + 49 + 3 + 0 + 62 + 5 = 666.

55424930625 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 7 ways, for example, as 39312182529 + 16112748096 = 198273^2 + 126936^2 .

It is not a de Polignac number, because 55424930625 - 21 = 55424930623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (55424930623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 759245589 + ... + 759245661.

Almost surely, 255424930625 is an apocalyptic number.

55424930625 is the 235425-th square number.

55424930625 is the 117713-rd centered octagonal number.

It is an amenable number.

55424930625 is a deficient number, since it is larger than the sum of its proper divisors (48418724862).

55424930625 is an frugal number, since it uses more digits than its factorization.

55424930625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

It can be divided in two parts, 55424 and 930625, that added together give a square (986049 = 9932).

The spelling of 55424930625 in words is "fifty-five billion, four hundred twenty-four million, nine hundred thirty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 43 45 73 75 125 129 215 219 225 365 375 387 625 645 657 1075 1095 1125 1825 1849 1875 1935 3139 3225 3285 5329 5375 5475 5547 5625 9125 9245 9417 9675 15695 15987 16125 16425 16641 26645 26875 27375 27735 28251 45625 46225 47085 47961 48375 78475 79935 80625 82125 83205 133225 134977 136875 138675 141255 229147 231125 235425 239805 241875 392375 399675 404931 410625 416025 666125 674885 687441 693375 706275 1145735 1155625 1177125 1199025 1214793 1961875 1998375 2024655 2062323 2080125 3330625 3374425 3437205 3466875 3531375 5728675 5885625 5995125 6073965 9853321 9991875 10123275 10311615 10400625 16872125 17186025 17656875 28643375 29559963 29975625 30369825 49266605 50616375 51558075 84360625 85930125 88679889 143216875 147799815 151849125 246333025 253081875 257790375 429650625 443399445 738999075 759245625 1231665125 1288951875 2216997225 3694995375 6158325625 11084986125 18474976875 55424930625