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49134848 = 28723917
BaseRepresentation
bin1011101101101…
…1110100000000
310102110022100012
42323123310000
5100034303343
64513044052
71134432200
oct273336400
9112408305
1049134848
112580a814
1214556628
13a244699
146750400
1544a8718
hex2edbd00

49134848 has 54 divisors (see below), whose sum is σ = 114119586. Its totient is φ = 21052416.

The previous prime is 49134847. The next prime is 49134859. The reversal of 49134848 is 84843194.

49134848 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 only one way, i.e., 46676224 + 2458624 = 6832^2 + 1568^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49134847) 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 5 ways as a sum of consecutive naturals, for example, 10586 + ... + 14502.

Almost surely, 249134848 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 49134848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57059793).

49134848 is an abundant number, since it is smaller than the sum of its proper divisors (64984738).

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

49134848 is an equidigital number, since it uses as much as digits as its factorization.

49134848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947 (or 3926 counting only the distinct ones).

The product of its digits is 110592, while the sum is 41.

The square root of 49134848 is about 7009.6253822868. The cubic root of 49134848 is about 366.2659438520.

The spelling of 49134848 in words is "forty-nine million, one hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 3917 6272 7834 12544 15668 27419 31336 54838 62672 109676 125344 191933 219352 250688 383866 438704 501376 767732 877408 1002752 1535464 1754816 3070928 3509632 6141856 7019264 12283712 24567424 49134848