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54766125 = 3653601
BaseRepresentation
bin1101000011101…
…0101000101101
310211001102000000
43100322220231
5103010004000
65233454513
71233335001
oct320725055
9124042000
1054766125
1128a06667
1216411439
13b4668bb
1473b8701
154c1c000
hex343aa2d

54766125 has 56 divisors (see below), whose sum is σ = 102645816. Its totient is φ = 29160000.

The previous prime is 54766109. The next prime is 54766157. The reversal of 54766125 is 52166745.

It is a happy number.

54766125 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 4 ways, for example, as 35721 + 54730404 = 189^2 + 7398^2 .

It is not a de Polignac number, because 54766125 - 24 = 54766109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 54766125.

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 55 ways as a sum of consecutive naturals, for example, 90825 + ... + 91425.

It is an arithmetic number, because the mean of its divisors is an integer number (1832961).

Almost surely, 254766125 is an apocalyptic number.

It is an amenable number.

54766125 is a deficient number, since it is larger than the sum of its proper divisors (47879691).

54766125 is an frugal number, since it uses more digits than its factorization.

54766125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 609 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 54766125 is about 7400.4138397795. The cubic root of 54766125 is about 379.7554405170.

The spelling of 54766125 in words is "fifty-four million, seven hundred sixty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 243 375 405 601 675 729 1125 1215 1803 2025 3005 3375 3645 5409 6075 9015 10125 15025 16227 18225 27045 30375 45075 48681 75125 81135 91125 135225 146043 225375 243405 405675 438129 676125 730215 1217025 2028375 2190645 3651075 6085125 10953225 18255375 54766125