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48983112 = 2332680321
BaseRepresentation
bin1011101011011…
…0110001001000
310102011121012100
42322312301020
5100014424422
64505513400
71133230623
oct272666110
9112147170
1048983112
1125716812
12144a2860
13a1c05b9
146710dba
1544787ac
hex2eb6c48

48983112 has 24 divisors (see below), whose sum is σ = 132662790. Its totient is φ = 16327680.

The previous prime is 48983111. The next prime is 48983119. The reversal of 48983112 is 21138984.

48983112 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., 29746116 + 19236996 = 5454^2 + 4386^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×489831122 = 4798690522409088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48983111) 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 5 ways as a sum of consecutive naturals, for example, 340089 + ... + 340232.

Almost surely, 248983112 is an apocalyptic number.

It is an amenable number.

48983112 is an abundant number, since it is smaller than the sum of its proper divisors (83679678).

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

48983112 is a wasteful number, since it uses less digits than its factorization.

48983112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680333 (or 680326 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 48983112 is about 6998.7936103303. The cubic root of 48983112 is about 365.8885264745. Note that the first 3 decimals are identical.

The spelling of 48983112 in words is "forty-eight million, nine hundred eighty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 680321 1360642 2040963 2721284 4081926 5442568 6122889 8163852 12245778 16327704 24491556 48983112