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48384090 = 2325613877
BaseRepresentation
bin1011100010010…
…0100001011010
310101001011111100
42320210201122
544341242330
64445012230
71125154326
oct270444132
9111034440
1048384090
1125347757
1214254076
13a040a51
1465d6986
1543ab060
hex2e2485a

48384090 has 48 divisors (see below), whose sum is σ = 126147528. Its totient is φ = 12866688.

The previous prime is 48384053. The next prime is 48384097. The reversal of 48384090 is 9048384.

It can be written as a sum of positive squares in 4 ways, for example, as 31169889 + 17214201 = 5583^2 + 4149^2 .

It is not an unprimeable number, because it can be changed into a prime (48384097) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 54732 + ... + 55608.

Almost surely, 248384090 is an apocalyptic number.

48384090 is an abundant number, since it is smaller than the sum of its proper divisors (77763438).

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

48384090 is a wasteful number, since it uses less digits than its factorization.

48384090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 48384090 is about 6955.8673075325. The cubic root of 48384090 is about 364.3909025616.

The spelling of 48384090 in words is "forty-eight million, three hundred eighty-four thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 613 877 1226 1754 1839 2631 3065 3678 4385 5262 5517 6130 7893 8770 9195 11034 13155 15786 18390 26310 27585 39465 55170 78930 537601 1075202 1612803 2688005 3225606 4838409 5376010 8064015 9676818 16128030 24192045 48384090