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49830128 = 24171671097
BaseRepresentation
bin1011111000010…
…1100011110000
310110202122002022
42332011203300
5100224031003
64540011012
71143356225
oct276054360
9113678068
1049830128
1126145127
1214830a68
13a428caa
14689194c
154594738
hex2f858f0

49830128 has 40 divisors (see below), whose sum is σ = 102930912. Its totient is φ = 23287808.

The previous prime is 49830127. The next prime is 49830133. The reversal of 49830128 is 82103894.

It is a happy number.

49830128 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 (49830127) 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, 44876 + ... + 45972.

Almost surely, 249830128 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 49830128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51465456).

49830128 is an abundant number, since it is smaller than the sum of its proper divisors (53100784).

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

49830128 is a wasteful number, since it uses less digits than its factorization.

49830128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 49830128 is about 7059.0458278722. The cubic root of 49830128 is about 367.9854672900.

The spelling of 49830128 in words is "forty-nine million, eight hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 167 272 334 668 1097 1336 2194 2672 2839 4388 5678 8776 11356 17552 18649 22712 37298 45424 74596 149192 183199 298384 366398 732796 1465592 2931184 3114383 6228766 12457532 24915064 49830128