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48849129 = 337236923
BaseRepresentation
bin1011101001011…
…0000011101001
310101220210102000
42322112003221
5100001133004
64503001213
71132132200
oct272260351
9111823360
1048849129
112563508a
1214439209
13a174614
1466b8237
15444dc39
hex2e960e9

48849129 has 24 divisors (see below), whose sum is σ = 84186720. Its totient is φ = 27913032.

The previous prime is 48849107. The next prime is 48849173. The reversal of 48849129 is 92194884.

48849129 is a `hidden beast` number, since 488 + 49 + 129 = 666.

48849129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 48849129 - 223 = 40460521 is a prime.

It is a super-3 number, since 3×488491293 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48849029) 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 23 ways as a sum of consecutive naturals, for example, 17139 + ... + 19784.

It is an arithmetic number, because the mean of its divisors is an integer number (3507780).

Almost surely, 248849129 is an apocalyptic number.

48849129 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

48849129 is a deficient number, since it is larger than the sum of its proper divisors (35337591).

48849129 is a wasteful number, since it uses less digits than its factorization.

48849129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36946 (or 36933 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 48849129 is about 6989.2151919940. The cubic root of 48849129 is about 365.5546181422.

The spelling of 48849129 in words is "forty-eight million, eight hundred forty-nine thousand, one hundred twenty-nine".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 36923 110769 258461 332307 775383 996921 1809227 2326149 5427681 6978447 16283043 48849129