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54749825 = 52132937157
BaseRepresentation
bin1101000011011…
…0101010000001
310211000120122022
43100312222001
5103003443300
65233251225
71233236324
oct320665201
9124016568
1054749825
11289a5399
1216403b15
13b45c360
1473b27bb
154c17285
hex3436a81

54749825 has 48 divisors (see below), whose sum is σ = 78172080. Its totient is φ = 37739520.

The previous prime is 54749797. The next prime is 54749831. The reversal of 54749825 is 52894745.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 38241856 + 16507969 = 6184^2 + 4063^2 .

It is not a de Polignac number, because 54749825 - 218 = 54487681 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 348647 + ... + 348803.

It is an arithmetic number, because the mean of its divisors is an integer number (1628585).

Almost surely, 254749825 is an apocalyptic number.

It is an amenable number.

54749825 is a deficient number, since it is larger than the sum of its proper divisors (23422255).

54749825 is a wasteful number, since it uses less digits than its factorization.

54749825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 241 counting only the distinct ones).

The product of its digits is 403200, while the sum is 44.

The square root of 54749825 is about 7399.3124680608. The cubic root of 54749825 is about 379.7177613380.

The spelling of 54749825 in words is "fifty-four million, seven hundred forty-nine thousand, eight hundred twenty-five".

Divisors: 1 5 13 25 29 37 65 145 157 185 325 377 481 725 785 925 1073 1885 2041 2405 3925 4553 5365 5809 9425 10205 12025 13949 22765 26825 29045 51025 59189 69745 75517 113825 145225 168461 295945 348725 377585 842305 1479725 1887925 2189993 4211525 10949965 54749825