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48597593 = 1121932081
BaseRepresentation
bin1011100101100…
…0101001011001
310101110000100212
42321120221121
544420110333
64453340505
71130033642
oct271305131
9111400325
1048597593
1125483100
1214337735
13a0b6c95
1466506c9
1543ee448
hex2e58a59

48597593 has 12 divisors (see below), whose sum is σ = 53719764. Its totient is φ = 43929600.

The previous prime is 48597589. The next prime is 48597631. The reversal of 48597593 is 39579584.

48597593 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 2 ways, for example, as 14992384 + 33605209 = 3872^2 + 5797^2 .

It is not a de Polignac number, because 48597593 - 22 = 48597589 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48597503) 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 11 ways as a sum of consecutive naturals, for example, 22313 + ... + 24393.

It is an arithmetic number, because the mean of its divisors is an integer number (4476647).

Almost surely, 248597593 is an apocalyptic number.

It is an amenable number.

48597593 is a deficient number, since it is larger than the sum of its proper divisors (5122171).

48597593 is a wasteful number, since it uses less digits than its factorization.

48597593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2285 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 50.

The square root of 48597593 is about 6971.1973863892. The cubic root of 48597593 is about 364.9260950011.

Subtracting from 48597593 its reverse (39579584), we obtain a square (9018009 = 30032).

The spelling of 48597593 in words is "forty-eight million, five hundred ninety-seven thousand, five hundred ninety-three".

Divisors: 1 11 121 193 2081 2123 22891 23353 251801 401633 4417963 48597593