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54349965 = 3254092953
BaseRepresentation
bin1100111101010…
…1000010001101
310210021021010200
43033111002031
5102403144330
65220524113
71226652465
oct317250215
9123237120
1054349965
1128751a2a
1216250639
13b34c357
14730aba5
154b88a60
hex33d508d

54349965 has 24 divisors (see below), whose sum is σ = 94468920. Its totient is φ = 28905984.

The previous prime is 54349961. The next prime is 54349987. The reversal of 54349965 is 56994345.

54349965 is a `hidden beast` number, since 543 + 49 + 9 + 65 = 666.

54349965 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 24472809 + 29877156 = 4947^2 + 5466^2 .

It is not a de Polignac number, because 54349965 - 22 = 54349961 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54349965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54349961) 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 23 ways as a sum of consecutive naturals, for example, 16929 + ... + 19881.

It is an arithmetic number, because the mean of its divisors is an integer number (3936205).

Almost surely, 254349965 is an apocalyptic number.

It is an amenable number.

54349965 is a deficient number, since it is larger than the sum of its proper divisors (40118955).

54349965 is a wasteful number, since it uses less digits than its factorization.

54349965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373 (or 3370 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 54349965 is about 7372.2428744582. The cubic root of 54349965 is about 378.7910911860.

The spelling of 54349965 in words is "fifty-four million, three hundred forty-nine thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 45 409 1227 2045 2953 3681 6135 8859 14765 18405 26577 44295 132885 1207777 3623331 6038885 10869993 18116655 54349965