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42448 = 247379
BaseRepresentation
bin1010010111010000
32011020011
422113100
52324243
6524304
7234520
oct122720
964204
1042448
112998a
1220694
1316423
1411680
15c89d
hexa5d0

42448 has 20 divisors (see below), whose sum is σ = 94240. Its totient is φ = 18144.

The previous prime is 42443. The next prime is 42451. The reversal of 42448 is 84424.

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 (42443) by changing a digit.

42448 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78 + ... + 301.

It is an arithmetic number, because the mean of its divisors is an integer number (4712).

242448 is an apocalyptic number.

It is an amenable number.

42448 is an abundant number, since it is smaller than the sum of its proper divisors (51792).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47120).

42448 is a wasteful number, since it uses less digits than its factorization.

42448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 388 counting only the distinct ones).

The product of its digits is 1024, while the sum is 22.

The square root of 42448 is about 206.0291241548. The cubic root of 42448 is about 34.8834216546.

The spelling of 42448 in words is "forty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 379 758 1516 2653 3032 5306 6064 10612 21224 42448