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48728961 = 3229186701
BaseRepresentation
bin1011100111100…
…0101110000001
310101200200120100
42321320232001
544433311321
64500233013
71131121641
oct271705601
9111620510
1048728961
1125562876
121439b769
13a131a08
146686521
154428326
hex2e78b81

48728961 has 12 divisors (see below), whose sum is σ = 72813780. Its totient is φ = 31365600.

The previous prime is 48728959. The next prime is 48729029. The reversal of 48728961 is 16982784.

48728961 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 8088336 + 40640625 = 2844^2 + 6375^2 .

It is not a de Polignac number, because 48728961 - 21 = 48728959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48728941) 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, 93090 + ... + 93611.

It is an arithmetic number, because the mean of its divisors is an integer number (6067815).

Almost surely, 248728961 is an apocalyptic number.

It is an amenable number.

48728961 is a deficient number, since it is larger than the sum of its proper divisors (24084819).

48728961 is a wasteful number, since it uses less digits than its factorization.

48728961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186736 (or 186733 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 48728961 is about 6980.6132252117. The cubic root of 48728961 is about 365.2546193620.

The spelling of 48728961 in words is "forty-eight million, seven hundred twenty-eight thousand, nine hundred sixty-one".

Divisors: 1 3 9 29 87 261 186701 560103 1680309 5414329 16242987 48728961