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48540465 = 37523193
BaseRepresentation
bin1011100100101…
…0101100110001
310101100010000000
42321022230301
544411243330
64452220213
71126405251
oct271125461
9111303000
1048540465
1125444196
121430a669
13a096c8c
146637961
1543dc560
hex2e4ab31

48540465 has 64 divisors (see below), whose sum is σ = 91630080. Its totient is φ = 24634368.

The previous prime is 48540439. The next prime is 48540467. The reversal of 48540465 is 56404584.

48540465 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 48540465 - 210 = 48539441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48540467) 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 63 ways as a sum of consecutive naturals, for example, 251409 + ... + 251601.

It is an arithmetic number, because the mean of its divisors is an integer number (1431720).

Almost surely, 248540465 is an apocalyptic number.

48540465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48540465 is a deficient number, since it is larger than the sum of its proper divisors (43089615).

48540465 is an equidigital number, since it uses as much as digits as its factorization.

48540465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 48540465 is about 6967.0987505561. The cubic root of 48540465 is about 364.7830448967.

The spelling of 48540465 in words is "forty-eight million, five hundred forty thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 23 27 45 69 81 115 135 193 207 243 345 405 579 621 729 965 1035 1215 1737 1863 2187 2895 3105 3645 4439 5211 5589 8685 9315 10935 13317 15633 16767 22195 26055 27945 39951 46899 50301 66585 78165 83835 119853 140697 199755 234495 251505 359559 422091 599265 703485 1078677 1797795 2110455 3236031 5393385 9708093 16180155 48540465