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55968125 = 54149601
BaseRepresentation
bin1101010110000…
…0000101111101
310220022110211112
43111200011331
5103311440000
65315331405
71246502243
oct325400575
9126273745
1055968125
1129657754
12168b0b65
13b797a45
14760c793
154da8235
hex356017d

55968125 has 20 divisors (see below), whose sum is σ = 70524300. Its totient is φ = 44400000.

The previous prime is 55968119. The next prime is 55968137. The reversal of 55968125 is 52186955.

55968125 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 10 ways, for example, as 44448889 + 11519236 = 6667^2 + 3394^2 .

It is not a de Polignac number, because 55968125 - 210 = 55967101 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 92825 + ... + 93425.

It is an arithmetic number, because the mean of its divisors is an integer number (3526215).

Almost surely, 255968125 is an apocalyptic number.

It is an amenable number.

55968125 is a deficient number, since it is larger than the sum of its proper divisors (14556175).

55968125 is an equidigital number, since it uses as much as digits as its factorization.

55968125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 755 counting only the distinct ones).

The product of its digits is 108000, while the sum is 41.

The square root of 55968125 is about 7481.1847323803. The cubic root of 55968125 is about 382.5136338712.

The spelling of 55968125 in words is "fifty-five million, nine hundred sixty-eight thousand, one hundred twenty-five".

Divisors: 1 5 25 125 149 601 625 745 3005 3725 15025 18625 75125 89549 93125 375625 447745 2238725 11193625 55968125