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48083112 = 2333731159
BaseRepresentation
bin1011011101101…
…1000010101000
310100110212122000
42313123002220
544302124422
64434331000
71122462000
oct267330250
9110425560
1048083112
1125161610
1214129a60
139c66a5c
146559000
15434bcac
hex2ddb0a8

48083112 has 256 divisors, whose sum is σ = 172800000. Its totient is φ = 12277440.

The previous prime is 48083111. The next prime is 48083143. The reversal of 48083112 is 21138084.

48083112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×480831123 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48083111) 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, 814939 + ... + 814997.

It is an arithmetic number, because the mean of its divisors is an integer number (675000).

Almost surely, 248083112 is an apocalyptic number.

48083112 is a gapful number since it is divisible by the number (42) 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 48083112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86400000).

48083112 is an abundant number, since it is smaller than the sum of its proper divisors (124716888).

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

48083112 is a wasteful number, since it uses less digits than its factorization.

48083112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 48083112 is about 6934.1987280435. The cubic root of 48083112 is about 363.6337539055.

The spelling of 48083112 in words is "forty-eight million, eighty-three thousand, one hundred twelve".