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49950048 = 253520313
BaseRepresentation
bin1011111010001…
…0110101100000
310110222201120210
42332202311200
5100241400143
64542334120
71144365651
oct276426540
9113881523
1049950048
1126217235
121488a340
13a46b755
1468c3528
1545ba033
hex2fa2d60

49950048 has 24 divisors (see below), whose sum is σ = 131119128. Its totient is φ = 16649984.

The previous prime is 49950023. The next prime is 49950059. The reversal of 49950048 is 84005994.

49950048 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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 49949988 and 49950015.

It is a congruent number.

It is an unprimeable number.

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, 260061 + ... + 260252.

It is an arithmetic number, because the mean of its divisors is an integer number (5463297).

Almost surely, 249950048 is an apocalyptic number.

49950048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

49950048 is an abundant number, since it is smaller than the sum of its proper divisors (81169080).

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

49950048 is a wasteful number, since it uses less digits than its factorization.

49950048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520326 (or 520318 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 49950048 is about 7067.5347894439. The cubic root of 49950048 is about 368.2804258253.

The spelling of 49950048 in words is "forty-nine million, nine hundred fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 520313 1040626 1560939 2081252 3121878 4162504 6243756 8325008 12487512 16650016 24975024 49950048