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49888128 = 273129917
BaseRepresentation
bin1011111001001…
…1101110000000
310110212120122110
42332103232000
5100232410003
64541135320
71144020303
oct276235600
9113776573
1049888128
1126184764
121485a540
13a449504
1468a8b3a
1545a6a03
hex2f93b80

49888128 has 32 divisors (see below), whose sum is σ = 132516360. Its totient is φ = 16629248.

The previous prime is 49888123. The next prime is 49888141. The reversal of 49888128 is 82188894.

49888128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49888121) 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 3 ways as a sum of consecutive naturals, for example, 64575 + ... + 65342.

Almost surely, 249888128 is an apocalyptic number.

49888128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

49888128 is an abundant number, since it is smaller than the sum of its proper divisors (82628232).

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

49888128 is a wasteful number, since it uses less digits than its factorization.

49888128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129934 (or 129922 counting only the distinct ones).

The product of its digits is 294912, while the sum is 48.

The square root of 49888128 is about 7063.1528370835. The cubic root of 49888128 is about 368.1281847081.

The spelling of 49888128 in words is "forty-nine million, eight hundred eighty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 129917 259834 389751 519668 779502 1039336 1559004 2078672 3118008 4157344 6236016 8314688 12472032 16629376 24944064 49888128