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48389664 = 253836073
BaseRepresentation
bin1011100010010…
…1111000100000
310101001110010210
42320211320200
544341432124
64445054120
71125206511
oct270457040
9111043123
1048389664
1125350964
1214257340
13a04344b
1465d8a08
1543aca29
hex2e25e20

48389664 has 48 divisors (see below), whose sum is σ = 128574432. Its totient is φ = 15932928.

The previous prime is 48389641. The next prime is 48389669. The reversal of 48389664 is 46698384.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (48389669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4932 + ... + 11004.

It is an arithmetic number, because the mean of its divisors is an integer number (2678634).

Almost surely, 248389664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48389664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64287216).

48389664 is an abundant number, since it is smaller than the sum of its proper divisors (80184768).

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

48389664 is a wasteful number, since it uses less digits than its factorization.

48389664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6169 (or 6161 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 48389664 is about 6956.2679649364. The cubic root of 48389664 is about 364.4048950186.

The spelling of 48389664 in words is "forty-eight million, three hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3984 6073 7968 12146 18219 24292 36438 48584 72876 97168 145752 194336 291504 504059 583008 1008118 1512177 2016236 3024354 4032472 6048708 8064944 12097416 16129888 24194832 48389664