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49827728 = 2419612687
BaseRepresentation
bin1011111000010…
…0111110010000
310110202111210102
42332010332100
5100223441403
64535551532
71143346226
oct276047620
9113674712
1049827728
1126143345
121482b5a8
13a427b82
146890b16
154593b88
hex2f84f90

49827728 has 40 divisors (see below), whose sum is σ = 103326720. Its totient is φ = 23207040.

The previous prime is 49827721. The next prime is 49827733. The reversal of 49827728 is 82772894.

It is a happy number.

49827728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (49827721) 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 7 ways as a sum of consecutive naturals, for example, 17201 + ... + 19887.

It is an arithmetic number, because the mean of its divisors is an integer number (2583168).

Almost surely, 249827728 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 49827728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51663360).

49827728 is an abundant number, since it is smaller than the sum of its proper divisors (53498992).

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

49827728 is a wasteful number, since it uses less digits than its factorization.

49827728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775 (or 2769 counting only the distinct ones).

The product of its digits is 451584, while the sum is 47.

The square root of 49827728 is about 7058.8758311788. The cubic root of 49827728 is about 367.9795593561.

The spelling of 49827728 in words is "forty-nine million, eight hundred twenty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 19 38 61 76 122 152 244 304 488 976 1159 2318 2687 4636 5374 9272 10748 18544 21496 42992 51053 102106 163907 204212 327814 408424 655628 816848 1311256 2622512 3114233 6228466 12456932 24913864 49827728