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48905268 = 22323374789
BaseRepresentation
bin1011101010001…
…1110000110100
310102000122102020
42322203300310
5100004432033
64504113140
71132454646
oct272436064
9112018366
1048905268
1125673285
12144657b0
13a194039
1466d0896
1544606b3
hex2ea3c34

48905268 has 48 divisors (see below), whose sum is σ = 122317440. Its totient is φ = 15168384.

The previous prime is 48905267. The next prime is 48905279. The reversal of 48905268 is 86250984.

48905268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48905267) 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 15 ways as a sum of consecutive naturals, for example, 7818 + ... + 12606.

It is an arithmetic number, because the mean of its divisors is an integer number (2548280).

Almost surely, 248905268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48905268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61158720).

48905268 is an abundant number, since it is smaller than the sum of its proper divisors (73412172).

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

48905268 is a wasteful number, since it uses less digits than its factorization.

48905268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4856 (or 4854 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 48905268 is about 6993.2301549427. The cubic root of 48905268 is about 365.6946002646.

The spelling of 48905268 in words is "forty-eight million, nine hundred five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 276 444 851 1702 2553 3404 4789 5106 9578 10212 14367 19156 28734 57468 110147 177193 220294 330441 354386 440588 531579 660882 708772 1063158 1321764 2126316 4075439 8150878 12226317 16301756 24452634 48905268