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54538225 = 52722112
BaseRepresentation
bin1101000000001…
…0111111110001
310210121211101021
43100002333301
5102430210400
65224535441
71231365400
oct320027761
9123554337
1054538225
1128870415
1216321581
13b3b6c51
147359637
154bc471a
hex3402ff1

54538225 has 27 divisors (see below), whose sum is σ = 79043211. Its totient is φ = 37220400.

The previous prime is 54538223. The next prime is 54538229. The reversal of 54538225 is 52283545.

The square root of 54538225 is 7385.

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

54538225 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 only one way, i.e., 19633761 + 34904464 = 4431^2 + 5908^2 .

It is not a de Polignac number, because 54538225 - 21 = 54538223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54538223) 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 26 ways as a sum of consecutive naturals, for example, 258370 + ... + 258580.

Almost surely, 254538225 is an apocalyptic number.

54538225 is the 7385-th square number.

54538225 is the 3693-rd centered octagonal number.

It is an amenable number.

54538225 is a deficient number, since it is larger than the sum of its proper divisors (24504986).

54538225 is an equidigital number, since it uses as much as digits as its factorization.

54538225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 223 counting only the distinct ones).

The product of its digits is 48000, while the sum is 34.

The cubic root of 54538225 is about 379.2279453885.

The spelling of 54538225 in words is "fifty-four million, five hundred thirty-eight thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 211 245 1055 1225 1477 5275 7385 10339 36925 44521 51695 222605 258475 311647 1113025 1558235 2181529 7791175 10907645 54538225