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48545568 = 25362081
BaseRepresentation
bin1011100100101…
…1111100100000
310101100101000000
42321023330200
544411424233
64452300000
71126426161
oct271137440
9111311000
1048545568
1125448005
1214311600
13a0993b6
146639768
1543ddd13
hex2e4bf20

48545568 has 84 divisors (see below), whose sum is σ = 143364438. Its totient is φ = 16174080.

The previous prime is 48545561. The next prime is 48545593. The reversal of 48545568 is 86554584.

48545568 is a `hidden beast` number, since 4 + 85 + 4 + 5 + 568 = 666.

48545568 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 only one way, i.e., 43401744 + 5143824 = 6588^2 + 2268^2 .

It is not an unprimeable number, because it can be changed into a prime (48545561) 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 13 ways as a sum of consecutive naturals, for example, 22288 + ... + 24368.

Almost surely, 248545568 is an apocalyptic number.

48545568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48545568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71682219).

48545568 is an abundant number, since it is smaller than the sum of its proper divisors (94818870).

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

48545568 is an equidigital number, since it uses as much as digits as its factorization.

48545568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2086 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 48545568 is about 6967.4649622370. The cubic root of 48545568 is about 364.7958275146.

The spelling of 48545568 in words is "forty-eight million, five hundred forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2081 2592 2916 3888 4162 5832 6243 7776 8324 11664 12486 16648 18729 23328 24972 33296 37458 49944 56187 66592 74916 99888 112374 149832 168561 199776 224748 299664 337122 449496 505683 599328 674244 898992 1011366 1348488 1517049 1797984 2022732 2696976 3034098 4045464 5393952 6068196 8090928 12136392 16181856 24272784 48545568