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49379744 = 254161617
BaseRepresentation
bin1011110001011…
…1100110100000
310102220202021102
42330113212200
5100120122434
64522213532
71136502161
oct274274640
9112822242
1049379744
1125967807
12146542a8
13a2cbcab
1467b5768
15450607e
hex2f179a0

49379744 has 48 divisors (see below), whose sum is σ = 101384136. Its totient is φ = 23654400.

The previous prime is 49379741. The next prime is 49379749. The reversal of 49379744 is 44797394.

49379744 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 4 ways, for example, as 3952144 + 45427600 = 1988^2 + 6740^2 .

It is not an unprimeable number, because it can be changed into a prime (49379741) 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, 79724 + ... + 80340.

Almost surely, 249379744 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 49379744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50692068).

49379744 is an abundant number, since it is smaller than the sum of its proper divisors (52004392).

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

49379744 is a wasteful number, since it uses less digits than its factorization.

49379744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 721 counting only the distinct ones).

The product of its digits is 762048, while the sum is 47.

The square root of 49379744 is about 7027.0722210605. The cubic root of 49379744 is about 366.8734451669.

The spelling of 49379744 in words is "forty-nine million, three hundred seventy-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 41 61 82 122 164 244 328 488 617 656 976 1234 1312 1952 2468 2501 4936 5002 9872 10004 19744 20008 25297 37637 40016 50594 75274 80032 101188 150548 202376 301096 404752 602192 809504 1204384 1543117 3086234 6172468 12344936 24689872 49379744