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48048064 = 264118311
BaseRepresentation
bin1011011101001…
…0011111000000
310100102002112221
42313102133000
544300014224
64433500424
71122254551
oct267223700
9110362487
1048048064
1125138249
1214111714
139c53b0c
14654a328
1543416e4
hex2dd27c0

48048064 has 28 divisors (see below), whose sum is σ = 97676208. Its totient is φ = 23436800.

The previous prime is 48048059. The next prime is 48048097. The reversal of 48048064 is 46084084.

48048064 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 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, 6532 + ... + 11779.

It is an arithmetic number, because the mean of its divisors is an integer number (3488436).

Almost surely, 248048064 is an apocalyptic number.

It is an amenable number.

48048064 is an abundant number, since it is smaller than the sum of its proper divisors (49628144).

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

48048064 is a wasteful number, since it uses less digits than its factorization.

48048064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18364 (or 18354 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 48048064 is about 6931.6710827909. The cubic root of 48048064 is about 363.5453809954.

The spelling of 48048064 in words is "forty-eight million, forty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2624 18311 36622 73244 146488 292976 585952 750751 1171904 1501502 3003004 6006008 12012016 24024032 48048064