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48350048 = 2523179367
BaseRepresentation
bin1011100001110…
…0001101100000
310100222102210112
42320130031200
544334200143
64444150452
71124653145
oct270341540
9110872715
1048350048
112532411a
1214238428
13a02b3c6
1465c83cc
1543a0e18
hex2e1c360

48350048 has 48 divisors (see below), whose sum is σ = 100154880. Its totient is φ = 22932096.

The previous prime is 48350033. The next prime is 48350069. The reversal of 48350048 is 84005384.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 48349996 and 48350023.

It is a congruent number.

It is an unprimeable number.

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, 131561 + ... + 131927.

It is an arithmetic number, because the mean of its divisors is an integer number (2086560).

Almost surely, 248350048 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 48350048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50077440).

48350048 is an abundant number, since it is smaller than the sum of its proper divisors (51804832).

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

48350048 is a wasteful number, since it uses less digits than its factorization.

48350048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 48350048 is about 6953.4198780169. The cubic root of 48350048 is about 364.3054233235.

The spelling of 48350048 in words is "forty-eight million, three hundred fifty thousand, forty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 179 184 358 367 368 716 734 736 1432 1468 2864 2936 4117 5728 5872 8234 8441 11744 16468 16882 32936 33764 65693 65872 67528 131386 131744 135056 262772 270112 525544 1051088 1510939 2102176 3021878 6043756 12087512 24175024 48350048