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48336864 = 2533111619
BaseRepresentation
bin1011100001100…
…0111111100000
310100221202201020
42320120333200
544333234424
64444005440
71124566542
oct270307740
9110852636
1048336864
1125315224
1214230880
13a0253c4
1465c3692
15439c079
hex2e18fe0

48336864 has 48 divisors (see below), whose sum is σ = 127370880. Its totient is φ = 16050560.

The previous prime is 48336853. The next prime is 48336887. The reversal of 48336864 is 46863384.

48336864 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 (48).

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 29047 + ... + 30665.

It is an arithmetic number, because the mean of its divisors is an integer number (2653560).

Almost surely, 248336864 is an apocalyptic number.

It is an amenable number.

48336864 is an abundant number, since it is smaller than the sum of its proper divisors (79034016).

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

48336864 is a wasteful number, since it uses less digits than its factorization.

48336864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1935 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 48336864 is about 6952.4717906655. The cubic root of 48336864 is about 364.2723076079.

The spelling of 48336864 in words is "forty-eight million, three hundred thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 311 622 933 1244 1619 1866 2488 3238 3732 4857 4976 6476 7464 9714 9952 12952 14928 19428 25904 29856 38856 51808 77712 155424 503509 1007018 1510527 2014036 3021054 4028072 6042108 8056144 12084216 16112288 24168432 48336864