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4148848 = 241122143
BaseRepresentation
bin1111110100111001110000
321210210011001
433310321300
52030230343
6224531344
750156524
oct17647160
97723131
104148848
112384100
121480b54
13b23552
1479dd84
1556e44d
hex3f4e70

4148848 has 30 divisors (see below), whose sum is σ = 8839712. Its totient is φ = 1884960.

The previous prime is 4148819. The next prime is 4148849. The reversal of 4148848 is 8488414.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4148849) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 865 + ... + 3007.

Almost surely, 24148848 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 4148848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419856).

4148848 is an abundant number, since it is smaller than the sum of its proper divisors (4690864).

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

4148848 is a wasteful number, since it uses less digits than its factorization.

4148848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2156 counting only the distinct ones).

The product of its digits is 32768, while the sum is 37.

The square root of 4148848 is about 2036.8721118421. The cubic root of 4148848 is about 160.6851865576.

The spelling of 4148848 in words is "four million, one hundred forty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 2143 4286 8572 17144 23573 34288 47146 94292 188584 259303 377168 518606 1037212 2074424 4148848