Search a number
-
+
48658848 = 25371937103
BaseRepresentation
bin1011100110011…
…1100110100000
310101120010101120
42321213212200
544424040343
64454532240
71130410350
oct271474640
9111503346
1048658848
1125515127
1214367080
13a108b24
146668b60
154412683
hex2e679a0

48658848 has 192 divisors, whose sum is σ = 159344640. Its totient is φ = 12690432.

The previous prime is 48658847. The next prime is 48658849. The reversal of 48658848 is 84885684.

48658848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48658847) and next prime (48658849).

It is a self number, because there is not a number n which added to its sum of digits gives 48658848.

It is not an unprimeable number, because it can be changed into a prime (48658847) 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 31 ways as a sum of consecutive naturals, for example, 472365 + ... + 472467.

It is an arithmetic number, because the mean of its divisors is an integer number (829920).

Almost surely, 248658848 is an apocalyptic number.

48658848 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 48658848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79672320).

48658848 is an abundant number, since it is smaller than the sum of its proper divisors (110685792).

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

48658848 is a wasteful number, since it uses less digits than its factorization.

48658848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 171 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 51.

The square root of 48658848 is about 6975.5894374597. The cubic root of 48658848 is about 365.0793547360.

The spelling of 48658848 in words is "forty-eight million, six hundred fifty-eight thousand, eight hundred forty-eight".