Search a number
-
+
54545535 = 33511231597
BaseRepresentation
bin1101000000010…
…0110001111111
310210122012102000
43100010301333
5102430424120
65225033343
71231425612
oct320046177
9123565360
1054545535
1128875960
1216325853
13b3ba385
14735c179
154bc6990
hex3404c7f

54545535 has 64 divisors (see below), whose sum is σ = 110453760. Its totient is φ = 25280640.

The previous prime is 54545501. The next prime is 54545573. The reversal of 54545535 is 53554545.

54545535 is a `hidden beast` number, since 54 + 54 + 553 + 5 = 666.

54545535 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54545535 - 28 = 54545279 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 54545535.

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 63 ways as a sum of consecutive naturals, for example, 33357 + ... + 34953.

It is an arithmetic number, because the mean of its divisors is an integer number (1725840).

Almost surely, 254545535 is an apocalyptic number.

54545535 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

54545535 is an abundant number, since it is smaller than the sum of its proper divisors (55908225).

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

54545535 is a wasteful number, since it uses less digits than its factorization.

54545535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1639 counting only the distinct ones).

The product of its digits is 150000, while the sum is 36.

The square root of 54545535 is about 7385.4949055564. The cubic root of 54545535 is about 379.2448878323.

It can be divided in two parts, 545455 and 35, that added together give a triangular number (545490 = T1044).

The spelling of 54545535 in words is "fifty-four million, five hundred forty-five thousand, five hundred thirty-five".

Divisors: 1 3 5 9 11 15 23 27 33 45 55 69 99 115 135 165 207 253 297 345 495 621 759 1035 1265 1485 1597 2277 3105 3795 4791 6831 7985 11385 14373 17567 23955 34155 36731 43119 52701 71865 87835 110193 158103 183655 215595 263505 330579 404041 474309 550965 790515 991737 1212123 1652895 2020205 2371545 3636369 4958685 6060615 10909107 18181845 54545535