Search a number
-
+
48729344 = 281711197
BaseRepresentation
bin1011100111100…
…0110100000000
310101200201002112
42321320310000
544433314334
64500234452
71131123026
oct271706400
9111621075
1048729344
1125563094
121439ba28
13a131c41
146686716
1544284ce
hex2e78d00

48729344 has 36 divisors (see below), whose sum is σ = 102999204. Its totient is φ = 22929408.

The previous prime is 48729337. The next prime is 48729347. The reversal of 48729344 is 44392784.

It can be written as a sum of positive squares in 2 ways, for example, as 24601600 + 24127744 = 4960^2 + 4912^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48729347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1247 + ... + 9950.

It is an arithmetic number, because the mean of its divisors is an integer number (2861089).

Almost surely, 248729344 is an apocalyptic number.

It is an amenable number.

48729344 is an abundant number, since it is smaller than the sum of its proper divisors (54269860).

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

48729344 is a wasteful number, since it uses less digits than its factorization.

48729344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11230 (or 11216 counting only the distinct ones).

The product of its digits is 193536, while the sum is 41.

The square root of 48729344 is about 6980.6406582777. The cubic root of 48729344 is about 365.2555763026.

The spelling of 48729344 in words is "forty-eight million, seven hundred twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 4352 11197 22394 44788 89576 179152 190349 358304 380698 716608 761396 1433216 1522792 2866432 3045584 6091168 12182336 24364672 48729344